Mathematics for Physics: A Guided Tour for Graduate Students

Mathematics for Physics: A Guided Tour for Graduate Students

by Michael Stone, Paul Goldbart
     
 

ISBN-10: 0521854032

ISBN-13: 9780521854030

Pub. Date: 08/31/2009

Publisher: Cambridge University Press

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an

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Overview

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study.

Product Details

ISBN-13:
9780521854030
Publisher:
Cambridge University Press
Publication date:
08/31/2009
Edition description:
New Edition
Pages:
820
Sales rank:
1,266,149
Product dimensions:
7.00(w) x 9.80(h) x 1.80(d)

Related Subjects

Table of Contents

Preface; 1. Calculus of variations; 2. Function spaces; 3. Linear ordinary differential equations; 4. Linear differential operators; 5. Green functions; 6. Partial differential equations; 7. The mathematics of real waves; 8. Special functions; 9. Integral equations; 10. Vectors and tensors; 11. Differential calculus on manifolds; 12. Integration on manifolds; 13. An introduction to differential topology; 14. Group and group representations; 15. Lie groups; 16. The geometry of fibre bundles; 17. Complex analysis I; 18. Applications of complex variables; 19. Special functions and complex variables; Appendixes; Reference; Index.

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