Essential Mathematical Methods for Physicists

Hans J. Weber, Frank Harris, George B. Arfken0120598779, 9780120598779, 9780080469850

This new adaptation of Arfken and Weber’s bestselling Mathematical Methods for Physicists, Fifth Edition , is the most comprehensive, modern, and accessible text for using mathematics to solve physics problems. Additional explanations and examples make it student-friendly and more adaptable to a course syllabus. KEY FEATURES: · This is a more accessible version of Arfken and Weber’s blockbuster reference, Mathematical Methods for Physicists, 5th Edition · Many more detailed, worked-out examples illustrate how to use and apply mathematical techniques to solve physics problems · More frequent and thorough explanations help readers understand, recall, and apply the theory · New introductions and review material provide context and extra support for key ideas · Many more routine problems reinforce basic concepts and computations

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Table of contents :
Inside front cover
……Page 2
Contents……Page 8
Preface……Page 22
1 Vector Analysis……Page 26
2 Vector Analysis in Curved Coordinates and Tensors……Page 121
3 Determinants and Matrices……Page 184
4 Group Theory……Page 254
5 Infinite Series……Page 282
6 Functions of a Complex Variable I: Analytic Properties Mapping……Page 343
7 Functions of a Complex Variable II: Calculus of Residues……Page 397
8 Differential Equations
……Page 435
9 Sturm-Liouville Theory-Orthogonal Functions
……Page 507
10 The Gamma Function (Factorial Function)
……Page 548
11 Legendre Polynomials and Spherical Harmonics
……Page 577
12 Bessel Functions
……Page 614
13 Hermitie and Laguerre Polynomials
……Page 663
14 Fourier Series
……Page 688
15 Integral Transforms
……Page 714
16 Partial Differential Equations
……Page 781
17 Probability
……Page 807
18 Calculus of Variations
……Page 851
19 Nonlinear Methods and Chaos
……Page 892
Appendix 1 Real Zeros of a Function
……Page 930
Index
……Page 936
Inside back cover
……Page 958