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This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter. The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. 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The participants focussed on the theoretical and numerical treatment of “descriptor” systems, i.e., differential-algebraic equations (DAEs). The book contains 14 contributions and is organized into four parts: mathematical analysis, numerics and model order reduction, control as well as applications. 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The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students – with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications – these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52928881000727,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319460031.jpg?v=1781602151"},{"product_id":"nonlinear-reaction-diffusion-systems-9783319654676","title":"Nonlinear Reaction-Diffusion Systems","description":"\u003cp\u003eThis book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. 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In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems  and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master’s level mathematical biology courses.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52928912032023,"sku":null,"price":3778.02,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319654676.jpg?v=1781602533"},{"product_id":"geometric-invariant-theory-holomorphic-vector-bundles-and-the-harder-narasimhan-filtration-9783030678296","title":"Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration","description":"\u003cp\u003eThis book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles. 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The book will therefore be accessible to masters and Ph.D. students who are beginning work on nearly Kähler geometry in pseudo-Riemannian signature, and also to non-experts interested in gaining an overview of the subject.  Moreover, a number of results and techniques are provided which will be helpful for differential geometers as well as for high energy physicists interested in the mathematical background of the geometric objects they need.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52928925892887,"sku":null,"price":4722.86,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319658070.jpg?v=1781602698"},{"product_id":"scientific-computing-9783319691053","title":"Scientific Computing","description":"\u003cp\u003eThis is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. 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