Mathematics For The Physical Sciences Leslie Copley Pdf

Mathematics for the Physical Sciences (2015) by Leslie Copley [Dr Soc] epub

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Mathematics for the Physical Sciences (2015) by Leslie Copley.epub -

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A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics.

Aims and Scope

The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and â€œspecial functionsâ€ of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Greenâ€™s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

TABLE OF CONTENTS

Frontmatter
Contents
Foreword
1 Functions of a Complex Variable
2 Cauchyâ€™s Theorem
3 The Calculus of Residues
4 Dispersion Representations
5 Analytic Continuation
6 Asymptotic Expansions
7 PadÃ© Approximants
8 Fourier Series and Transforms
9 Ordinary Linear Differential Equations
10 Partial Differential Equations and Boundary Value Problems
11 Special Functions
12 Non-Homogeneous Boundary Value Problems: Greenâ€™s Functions
13 Integral Equations
Bibliography

Topics
Applied Mathematics
Theoretical and Mathematical Physics

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