Differential Manifolds and Theoretical Physics

Differential Manifolds and Theoretical Physics
Title Differential Manifolds and Theoretical Physics PDF eBook
Author
Publisher Academic Press
Pages 417
Release 1985-05-24
Genre Mathematics
ISBN 0080874355

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Differential Manifolds and Theoretical Physics

Differential Equations on Manifolds and Mathematical Physics

Differential Equations on Manifolds and Mathematical Physics
Title Differential Equations on Manifolds and Mathematical Physics PDF eBook
Author Vladimir M. Manuilov
Publisher Birkhäuser
Pages 338
Release 2022-01-22
Genre Mathematics
ISBN 9783030373252

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This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Differential Equations on Manifolds and Mathematical Physics

Differential Equations on Manifolds and Mathematical Physics
Title Differential Equations on Manifolds and Mathematical Physics PDF eBook
Author Vladimir M. Manuilov
Publisher Springer Nature
Pages 349
Release 2022-01-21
Genre Mathematics
ISBN 3030373266

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This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Equations of Mathematical Physics

Equations of Mathematical Physics
Title Equations of Mathematical Physics PDF eBook
Author A. N. Tikhonov
Publisher Courier Corporation
Pages 802
Release 2013-09-16
Genre Mathematics
ISBN 0486173364

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Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Differentiable Manifolds

Differentiable Manifolds
Title Differentiable Manifolds PDF eBook
Author Gerardo F. Torres del Castillo
Publisher Springer Nature
Pages 447
Release 2020-06-23
Genre Mathematics
ISBN 3030451933

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This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.

Differential Manifolds: A Basic Approach For Experimental Physicists

Differential Manifolds: A Basic Approach For Experimental Physicists
Title Differential Manifolds: A Basic Approach For Experimental Physicists PDF eBook
Author Paul Baillon
Publisher World Scientific Publishing Company
Pages 593
Release 2013-11-22
Genre Science
ISBN 981444958X

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Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.

Geometric Mechanics on Riemannian Manifolds

Geometric Mechanics on Riemannian Manifolds
Title Geometric Mechanics on Riemannian Manifolds PDF eBook
Author Ovidiu Calin
Publisher Springer Science & Business Media
Pages 285
Release 2006-03-15
Genre Mathematics
ISBN 0817644210

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* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics