{"title":"Calculus (Mathematics)","description":null,"products":[{"product_id":"introduction-to-finite-element-vibration-analysis-9780511851636","title":"Introduction to Finite Element Vibration Analysis","description":"\u003cp\u003eAn introduction to the mathematical basis of finite element analysis as applied to vibrating systems.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52813726548247,"sku":null,"price":6751.5,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9780511851636.jpg?v=1780653369"},{"product_id":"encyclopedia-of-mathematics-and-its-applications-9781107263420","title":"Encyclopedia of Mathematics and its Applications","description":"\u003cp\u003eThe first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52825134301463,"sku":null,"price":19849.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781107263420.jpg?v=1780655510"},{"product_id":"cambridge-nonlinear-science-series-9781107384927","title":"Cambridge Nonlinear Science Series","description":"\u003cp\u003eThe author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52826390495511,"sku":null,"price":7156.59,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781107384927.jpg?v=1780656373"},{"product_id":"complex-analysis-9781108526463","title":"Complex Analysis","description":"\u003cp\u003eA new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52833380008215,"sku":null,"price":5129.14,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108526463.jpg?v=1780661286"},{"product_id":"zeros-of-polynomials-and-solvable-nonlinear-evolution-equations-9781108573368","title":"Zeros of Polynomials and Solvable Nonlinear Evolution Equations","description":"\u003cp\u003eExploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs).\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52833778008343,"sku":null,"price":12556.44,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108573368.jpg?v=1780661725"},{"product_id":"london-mathematical-society-lecture-note-series-9781108626491","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003ePresents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52835985293591,"sku":null,"price":10798.2,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108626491.jpg?v=1780662988"},{"product_id":"cambridge-studies-in-advanced-mathematics-9781108757256","title":"Cambridge Studies in Advanced Mathematics","description":"\u003cp\u003eProvides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications. For graduate students and researchers.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52863944655127,"sku":null,"price":24970.84,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108757256.jpg?v=1780665242"},{"product_id":"london-mathematical-society-lecture-note-series-9781108803588","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003eA collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52864107413783,"sku":null,"price":11743.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108803588.jpg?v=1780665505"},{"product_id":"london-mathematical-society-lecture-note-series-9781108805339","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003eA collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52864156270871,"sku":null,"price":13767.7,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108805339.jpg?v=1780665558"},{"product_id":"cambridge-studies-in-advanced-mathematics-9781108858472","title":"Cambridge Studies in Advanced Mathematics","description":"\u003cp\u003eA systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52864646512919,"sku":null,"price":8908.51,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108858472.jpg?v=1780895924"},{"product_id":"gravitational-few-body-dynamics-9781108871396","title":"Gravitational Few-Body Dynamics","description":"\u003cp\u003eThis introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52864689635607,"sku":null,"price":19031.83,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781108871396.jpg?v=1780895982"},{"product_id":"aims-library-of-mathematical-sciences-9781139235129","title":"AIMS Library of Mathematical Sciences","description":"\u003cp\u003eA compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52867447128343,"sku":null,"price":3780.84,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139235129.jpg?v=1780899793"},{"product_id":"london-mathematical-society-lecture-note-series-9781139564939","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003eA collection of articles on operator-theoretic methods for boundary-value problems. Contains recent developments that will appeal to researchers and students.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870752502039,"sku":null,"price":7561.68,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139564939.jpg?v=1780900579"},{"product_id":"london-mathematical-society-lecture-note-series-9781139579834","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003eA selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870802080023,"sku":null,"price":7156.59,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139579834.jpg?v=1780900662"},{"product_id":"advanced-mathematics-for-applications-9781139636018","title":"Advanced Mathematics for Applications","description":"\u003cp\u003eA comprehensive guide to the whys, hows and whens of the mathematical methods needed for classical fields.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870815940887,"sku":null,"price":7966.77,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139636018.jpg?v=1780900891"},{"product_id":"cambridge-texts-in-applied-mathematics-9781139636568","title":"Cambridge Texts in Applied Mathematics","description":"\u003cp\u003eAn extensively updated second edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870816989463,"sku":null,"price":7021.56,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139636568.jpg?v=1780900914"},{"product_id":"cambridge-texts-in-applied-mathematics-9781139636919","title":"Cambridge Texts in Applied Mathematics","description":"\u003cp\u003eAn introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870818464023,"sku":null,"price":9857.19,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139636919.jpg?v=1780900940"},{"product_id":"introduction-to-ordinary-differential-equations-9781139637046","title":"Introduction to Ordinary Differential Equations","description":"\u003cp\u003eA first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52870818955543,"sku":null,"price":8236.83,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139637046.jpg?v=1780900951"},{"product_id":"introduction-to-partial-differential-equations-9781139637251","title":"Introduction to Partial Differential Equations","description":"\u003cp\u003eA complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52871234421015,"sku":null,"price":7021.56,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139637251.jpg?v=1780901494"},{"product_id":"geometry-from-a-differentiable-viewpoint-9781139793018","title":"Geometry from a Differentiable Viewpoint","description":"\u003cp\u003eA thoroughly revised second edition of a textbook for a first course in differential\/modern geometry that introduces methods within a historical context.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52871307133207,"sku":null,"price":6346.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139793018.jpg?v=1780901623"},{"product_id":"verification-and-validation-in-scientific-computing-9781139813761","title":"Verification and Validation in Scientific Computing","description":"\u003cp\u003eCan you trust results from modelling and simulation? Verification, validation, and uncertainty quantification can help.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52871450755351,"sku":null,"price":18229.05,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139813761.jpg?v=1780901748"},{"product_id":"cambridge-monographs-on-applied-and-computational-mathematics-9781139984768","title":"Cambridge Monographs on Applied and Computational Mathematics","description":"\u003cp\u003eStraightforward introduction for non-specialists and experts alike. Explains how to derive solutions, first integrals and conservation laws of difference equations.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52874175185175,"sku":null,"price":6208.96,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781139984768.jpg?v=1780903196"},{"product_id":"cambridge-monographs-on-applied-and-computational-mathematics-9781316403716","title":"Cambridge Monographs on Applied and Computational Mathematics","description":"\u003cp\u003eThis book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52877120045335,"sku":null,"price":13632.73,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781316403716.jpg?v=1780905051"},{"product_id":"london-mathematical-society-student-texts-9781316545256","title":"London Mathematical Society Student Texts","description":"\u003cp\u003eA first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52887487512855,"sku":null,"price":5399.1,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781316545256.jpg?v=1780905606"},{"product_id":"london-mathematical-society-lecture-note-series-9781316588772","title":"London Mathematical Society Lecture Note Series","description":"\u003cp\u003eAn accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52887498457367,"sku":null,"price":8101.8,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781316588772.jpg?v=1780905870"},{"product_id":"numerical-solution-of-differential-equations-9781316732144","title":"Numerical Solution of Differential Equations","description":"\u003cp\u003eA practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52887516315927,"sku":null,"price":5804.03,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781316732144.jpg?v=1780906389"},{"product_id":"cambridge-monographs-on-applied-and-computational-mathematics-9781316981542","title":"Cambridge Monographs on Applied and Computational Mathematics","description":"\u003cp\u003eThis book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations. It includes applications and an extensive bibliography.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52887625990423,"sku":null,"price":11878.02,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9781316981542.jpg?v=1780907429"},{"product_id":"regular-and-irregular-holonomic-d-modules-9781316683422","title":"Regular and Irregular Holonomic D-Modules","description":"\u003cp\u003eD-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann-Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Etudes Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52888914264343,"sku":null,"price":26.24,"currency_code":"INR","in_stock":true}]},{"product_id":"potential-theory-on-sierpinski-carpets-9783030508050","title":"Potential Theory on Sierpinski Carpets","description":"\u003cp\u003eThis self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915022856471,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030508050.jpg?v=1781512799"},{"product_id":"dimension-theory-9783030222321","title":"Dimension Theory","description":"\u003cp\u003eThis book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka''s psi-spaces, van Douwen''s technique of assigning limit points to carefully selected sequences, and Fedorchuk''s method of resolutions. Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and\/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915060048151,"sku":null,"price":14780.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030222321.jpg?v=1781525628"},{"product_id":"linear-differential-equations-in-the-complex-domain-9783030546632","title":"Linear Differential Equations in the Complex Domain","description":"\u003cp\u003eThis book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems.  The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to usedifferential equations.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915065061655,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030546632.jpg?v=1781525765"},{"product_id":"weierstrass-elliptic-function-and-applications-in-classical-and-quantum-mechanics-9783030593858","title":"Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics","description":"\u003cp\u003eThe field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lamé problem-a periodic potential with an exactly solvable band structure, are also presented.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915069976855,"sku":null,"price":8097.3,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030593858.jpg?v=1781525891"},{"product_id":"500-examples-and-problems-of-applied-differential-equations-9783030263843","title":"500 Examples and Problems of Applied Differential Equations","description":"\u003cp\u003eThis book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more. Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a numberof challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915092422935,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030263843.jpg?v=1781526253"},{"product_id":"atomicity-through-fractal-measure-theory-9783030295936","title":"Atomicity through Fractal Measure Theory","description":"\u003cp\u003eThis book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.  Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom\/pseudoatom, atomic\/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal\/multifractal measure theory with potentialapplications in life sciences, are opened.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915103858967,"sku":null,"price":9447.07,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030295936.jpg?v=1781526457"},{"product_id":"geometric-analysis-of-quasilinear-inequalities-on-complete-manifolds-9783030627041","title":"Geometric Analysis of Quasilinear Inequalities on Complete Manifolds","description":"\u003cp\u003eThis book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915222774039,"sku":null,"price":6747.52,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030627041.jpg?v=1781526684"},{"product_id":"multi-valued-variational-inequalities-and-inclusions-9783030651657","title":"Multi-Valued Variational Inequalities and Inclusions","description":"\u003cp\u003eThis book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces.A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool forstudying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915340149015,"sku":null,"price":13430.27,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030651657.jpg?v=1781526777"},{"product_id":"elastic-model-for-volcanology-9783030314750","title":"Elastic Model for Volcanology","description":"\u003cp\u003eThis monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches—one involving weighted Sobolev spaces, and the other using single and double layer potentials—the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915575849239,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030314750.jpg?v=1781527055"},{"product_id":"dual-of-linfinityxl-finitely-additive-measures-and-weak-convergence-9783030347321","title":"Dual of Linfinity(X,L,?), Finitely Additive Measures and Weak Convergence","description":"\u003cp\u003eIn measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(X,L,λ), where 1\/p+1\/q=1, as long as 1 ≤ p\u0026lt;∞. However, L∞(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures. This book provides a reasonably elementary account of the representation theory of L∞(X,L,λ)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in L∞(X,L,λ) to be weakly convergent, applicable in the one-point compactification of X, is given. With a clear summary of prerequisites, and illustrated by examples including L∞(Rn) and the sequence space l∞, this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915584565527,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030347321.jpg?v=1781527356"},{"product_id":"control-of-degenerate-and-singular-parabolic-equations-9783030693497","title":"Control of Degenerate and Singular Parabolic Equations","description":"\u003cp\u003eThis book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography.  For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915592003863,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030693497.jpg?v=1781527549"},{"product_id":"self-adjoint-extension-schemes-and-modern-applications-to-quantum-hamiltonians-9783031108853","title":"Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians","description":"\u003cp\u003eThis book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspective, and provides a detailed analysis of a range of applications beyond the standard pedagogical examples (the latter are indexed in a final appendix for the reader’s convenience). Self-adjointness of operators on Hilbert space representing quantum observables, in particular quantum Hamiltonians, is required to ensure real-valued energy levels, unitary evolution and, more generally, a self-consistent theory. Physical heuristics often produce candidate Hamiltonians that are only symmetric: their extension to suitably larger domains of self-adjointness, when possible, amounts to declaring additional physical states the operator must act on in order to have a consistent physics, and distinct self-adjoint extensions describe different physics.Realising observables self-adjointly is the first fundamental problem of quantum-mechanical modelling. The discussed applications concern models of topical relevance in modern mathematical physics currently receiving new or renewed interest, in particular from the point of view of classifying self-adjoint realisations of certain Hamiltonians and studying their spectral and scattering properties. The analysis also addresses intermediate technical questions such as characterising the corresponding operator closures and adjoints. Applications include hydrogenoid Hamiltonians, Dirac–Coulomb Hamiltonians, models of geometric quantum confinement and transmission on degenerate Riemannian manifolds of Grushin type, and models of few-body quantum particles with zero-range interaction. Graduate students and non-expert readers will benefit from a preliminary mathematical chapter collecting all the necessary pre-requisites on symmetric and self-adjoint operators on Hilbert space (including the spectral theorem), and from a further appendix presenting the emergence from physical principles of the requirement of self-adjointness for observables in quantum mechanics.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915602882839,"sku":null,"price":16195.95,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783031108853.jpg?v=1781527806"},{"product_id":"squigonometry-the-study-of-imperfect-circles-9783031137839","title":"Squigonometry: The Study of Imperfect Circles","description":"\u003cp\u003eThis textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of π, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topicsinclude infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor. Squigonometry: The Study of Imperfect Circles invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915604390167,"sku":null,"price":4047.97,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783031137839.jpg?v=1781528104"},{"product_id":"optimal-auxiliary-functions-method-for-nonlinear-dynamical-systems-9783030756536","title":"Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems","description":"\u003cp\u003eThis book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such asclassical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915615006999,"sku":null,"price":18829.37,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030756536.jpg?v=1781528352"},{"product_id":"numerical-analysis-of-compressible-fluid-flows-9783030737887","title":"Numerical Analysis of Compressible Fluid Flows","description":"\u003cp\u003eThis book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915622740247,"sku":null,"price":18829.37,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030737887.jpg?v=1781528532"},{"product_id":"theory-of-distributions-9783030812652","title":"Theory of Distributions","description":"\u003cp\u003eThis book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This second edition, which consists of 10 chapters, is suitable for upper undergraduate\/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915626869015,"sku":null,"price":6747.52,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030812652.jpg?v=1781528634"},{"product_id":"texts-in-applied-mathematics-9783030569235","title":"Texts in Applied Mathematics","description":"\u003cp\u003eThis book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy.Volume II is divided into 32 chapters plus one appendix. The first part of the volume focuses on the approximation of elliptic and mixed PDEs, beginning with fundamental results on well-posed weak formulations and their approximation by the Galerkin method. The material covered includes key results such as the BNB theorem based on inf-sup conditions, Cea's and Strang's lemmas, and the duality argument by Aubin and Nitsche. Important implementation aspects regarding quadratures, linear algebra, and assembling are also covered. The remainder of Volume II focuses on PDEs where a coercivity property is available. It investigates conforming and nonconforming approximation techniques (Galerkin, boundary penalty, Crouzeix-Raviart, discontinuous Galerkin, hybrid high-order methods). These techniques are applied to elliptic PDEs (diffusion, elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs, and PDEs in mixed form (Darcy and Stokes flows).  Finally, the appendix addresses fundamental results on the surjectivity, bijectivity, and coercivity of linear operators in Banach spaces.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915646726423,"sku":null,"price":6747.52,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030569235.jpg?v=1781528948"},{"product_id":"generalized-mathieu-series-9783030848170","title":"Generalized Mathieu Series","description":"\u003cp\u003eThe Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distributionis also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915690635543,"sku":null,"price":14780.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030848170.jpg?v=1781529245"},{"product_id":"multivariate-data-analysis-on-matrix-manifolds-9783030769741","title":"Multivariate Data Analysis on Matrix Manifolds","description":"\u003cp\u003eThis graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number ofexercises complement the main text with additional information and occasionally involve open and\/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915708231959,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030769741.jpg?v=1781529369"},{"product_id":"from-particle-systems-to-partial-differential-equations-9783030697846","title":"From Particle Systems to Partial Differential Equations","description":"\u003cp\u003eThis book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November\/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915775504663,"sku":null,"price":24228.47,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030697846.jpg?v=1781530237"},{"product_id":"computer-science-9783031281174","title":"Computer Science","description":"\u003cp\u003eStudents studying different branches of computer graphics need to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces. And as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems.In this 3rd edition, the author extends the scope of the original book to include vector differential operators and differential equations and draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function's derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples and almost two hundred colour illustrations. This book complements the author's other books on mathematics for computer graphics and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915785629975,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783031281174.jpg?v=1781530366"},{"product_id":"gaussian-measures-in-finite-and-infinite-dimensions-9783031231223","title":"Gaussian Measures in Finite and Infinite Dimensions","description":"\u003cp\u003eThis text provides a concise introduction, suitable for a one-semester special topics course, to the remarkable properties of Gaussian measures on both finite and infinite dimensional spaces. It begins with a brief resumé of probabilistic results in which Fourier analysis plays an essential role, and those results are then applied to derive a few basic facts about Gaussian measures on finite dimensional spaces. In anticipation of the analysisof Gaussian measures on infinite dimensional spaces, particular attention is given to those properties of Gaussian measures that are dimension independent, and Gaussian processes are constructed. The rest of the book is devoted to the study of Gaussian measures on Banach spaces. The perspective adopted is the one introduced by I. Segal and developed by L. Gross in which the Hilbert structure underlying the measure is emphasized.The contents of this bookshould be accessible to either undergraduate or graduate students who are interested in probability theory and have a solid background in Lebesgue integration theory and a familiarity with basic functional analysis. Although the focus is on Gaussian measures, the book introduces its readers to techniques and ideas that have applications in other contexts.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915786383639,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783031231223.jpg?v=1781530380"}],"url":"https:\/\/payment.letskitaboo.com\/te\/collections\/calculus-mathematics.oembed?page=4","provider":"Kitaboo One eStore","version":"1.0","type":"link"}