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Mathematics for Physics and Physicists
     

Mathematics for Physics and Physicists

by Walter Appel
 

ISBN-10: 0691131023

ISBN-13: 9780691131023

Pub. Date: 02/12/2007

Publisher: Princeton University Press

What can a physicist gain by studying mathematics? By gathering together everything a physicist needs to know about mathematics in one comprehensive and accessible guide, this is the question Mathematics for Physics and Physicists successfully takes on.

The author, Walter Appel, is a renowned mathematics educator hailing from one of the best schools of

Overview

What can a physicist gain by studying mathematics? By gathering together everything a physicist needs to know about mathematics in one comprehensive and accessible guide, this is the question Mathematics for Physics and Physicists successfully takes on.

The author, Walter Appel, is a renowned mathematics educator hailing from one of the best schools of France's prestigious Grandes écoles, where he has taught some of his country's leading scientists and engineers. In this unique book, oriented specifically toward physicists, Appel shows graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. His approach is mathematically rigorous yet refreshingly straightforward, teaching all the math a physicist needs to know above the undergraduate level. Appel details numerous topics from the frontiers of modern physics and mathematics—such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and probability theory—consistently partnering clear explanations with cogent examples. For every mathematical concept presented, the relevant physical application is discussed, and exercises are provided to help readers quickly familiarize themselves with a wide array of mathematical tools.

Mathematics for Physics and Physicists is the resource today's physicists must have to strengthen their math skills and to gain otherwise unattainable insights into their fields of study

Product Details

ISBN-13:
9780691131023
Publisher:
Princeton University Press
Publication date:
02/12/2007
Edition description:
New Edition
Pages:
672
Sales rank:
1,328,909
Product dimensions:
7.30(w) x 10.10(h) x 1.60(d)

Table of Contents

A book's apology xviii
Index of notation xxii

Chapter 1: Reminders: convergence of sequences and series 1
Chapter 2: Measure theory and the Lebesgue integral 51
Chapter 3: Integral calculus 73
Chapter 4: Complex Analysis I 87
Chapter 5: Complex Analysis II 135
Chapter 6: Conformal maps 155
Chapter 7: Distributions I 179
Chapter 8: Distributions II 223
Chapter 9: Hilbert spaces; Fourier series 249
Chapter 10: Fourier transform of functions 277
Chapter 11: Fourier transform of distributions 299
Chapter 12: The Laplace transform 331
Chapter 13: Physical applications of the Fourier transform 355
Chapter 14: Bras, kets, and all that sort of thing 377
Chapter 15: Green functions 407
Chapter 16: Tensors 433
Chapter 17: Differential forms 463
Chapter 18: Groups and group representations 489
Chapter 19: Introduction to probability theory 509
Chapter 20: Random variables 521
Chapter 21: Convergence of random variables: central limit theorem 553

Appendices
A: Reminders concerning topology and normed vector spaces 573
B: Elementary reminders of differential calculus 585
C: Matrices 593
D: A few proofs 597

Tables
Fourier transforms 609
Laplace transforms 613
Probability laws 616

Further reading 617
References 621
Portraits 627
Sidebars 629
Index 631

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