{"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":"concise-introduction-to-measure-theory-9783030032418","title":"Concise Introduction to Measure Theory","description":"\u003cp\u003eThis undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to \"fuzzy\" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914844500247,"sku":null,"price":6747.52,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030032418.jpg?v=1781508075"},{"product_id":"distributions-partial-differential-equations-and-harmonic-analysis-9783030032968","title":"Distributions, Partial Differential Equations, and Harmonic Analysis","description":"\u003cp\u003eThe aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-studyguide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914844664087,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030032968.jpg?v=1781508080"},{"product_id":"theory-of-translation-closedness-for-time-scales-9783030386443","title":"Theory of Translation Closedness for Time Scales","description":"\u003cp\u003eThis monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations. The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914846499095,"sku":null,"price":14780.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030386443.jpg?v=1781508130"},{"product_id":"lectures-on-nonsmooth-differential-geometry-9783030386139","title":"Lectures on Nonsmooth Differential Geometry","description":"\u003cp\u003eThis book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of “infinitesimally Hilbertian” metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking acomprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914847252759,"sku":null,"price":7422.41,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030386139.jpg?v=1781510685"},{"product_id":"analysis-probability-applications-and-computation-9783030044596","title":"Analysis, Probability, Applications, and Computation","description":"\u003cp\u003eThis book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914864259351,"sku":null,"price":12080.49,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030044596.jpg?v=1781511154"},{"product_id":"cauchys-calcul-infinitesimal-9783030110369","title":"Cauchy's Calcul Infinitesimal","description":"\u003cp\u003eThis book is a complete English translation of Augustin-Louis Cauchy''s historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, \"Summary of Lectures on the Infinitesimal Calculus,\" originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy''s original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914866553111,"sku":null,"price":14846.17,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030110369.jpg?v=1781511211"},{"product_id":"real-algebraic-varieties-9783030431044","title":"Real Algebraic Varieties","description":"\u003cp\u003eThis book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledgeis presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert''s famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914969903383,"sku":null,"price":14780.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030431044.jpg?v=1781511510"},{"product_id":"current-trends-in-mathematical-analysis-and-its-interdisciplinary-applications-9783030152420","title":"Current Trends in Mathematical Analysis and Its Interdisciplinary Applications","description":"\u003cp\u003eThis book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914998706455,"sku":null,"price":14780.04,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030152420.jpg?v=1781512188"},{"product_id":"probability-and-analysis-in-interacting-physical-systems-9783030153380","title":"Probability and Analysis in Interacting Physical Systems","description":"\u003cp\u003eThis Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan''s former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan''s deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52914999197975,"sku":null,"price":12080.49,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030153380.jpg?v=1781512196"},{"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"}],"url":"https:\/\/payment.letskitaboo.com\/ur\/collections\/calculus-mathematics.oembed?page=4","provider":"Kitaboo One eStore","version":"1.0","type":"link"}