Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide

✍ Scribed by Arfken, George Brown; Harris, Frank E.; Weber, Hans-Jurgen

• Publisher: Elsevier;Academic Press
• Year: 2013
• Tongue: English
• Leaves: 1219
• Edition: 7ed.
• Category: Library

✦ Synopsis

Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises.

• Revised and updated version of the leading text in mathematical physics
• Focuses on problem-solving skills and active learning, offering numerous chapter problems
• Clearly identified definitions, theorems, and proofs promote clarity and understanding

New to this edition:

• Improved modular chapters
• New up-to-date examples
• More intuitive explanations

✦ Table of Contents

Content: Front Cover
Mathematical Methods for Physicists
Copyright Page
Dedication
Table of Contents
PREFACE TO THE THIRD EDITION
PREFACE TO THE SECOND EDITION
PREFACE TO THE FIRST EDITION
ACKNOWLEDGMENTS
INTRODUCTION
CHAPTER 1. VECTOR ANALYSIS
1.1 DEFINITIONS, ELEMENTARY APPROACH
1.2 ADVANCED DEFINITIONS
1.3 SCALAR OR DOT PRODUCT
1.4 VECTOR OR CROSS PRODUCT
1.5 TRIPLE SCALAR PRODUCT, TRIPLE VECTOR PRODUCT
1.6 GRADIENT
1.7 DIVERGENCE
1.8 CURL
1.9 SUCCESSIVE APPLICATIONS OF
1.10 VECTOR INTEGRATION
1.11 GAUSS'S THEOREM
1.12 STOKES'S THEOREM
1.13 POTENTIAL THEORY. 3.8 noncartesian tensors, covariant differentiation3.9 tensor differential operations
references
chapter 4. determinants, matrices, and group theory
4.1 determinants
4.2 matrices
4.3 orthogonal matrices
4.4 oblique coordinates
4.5 hermitian matrices, unitary matrices
4.6 diagonalization of matrices
4.7 eigenvectors, eigenvalues
4.8 introduction to group theory
4.9 discrete groups
4.10 continuous groups
4.12 su(2), su(3), and nuclear particles
4.13 homogeneous lorentz group
references
chapter 5. infinite series
5.1 fundamental concepts
5.2 convergence tests. 5.3 alternating series5.4 algebra of series
5.5 series of functions
5.7 power series
5.8 elliptic integrals
5.9 bernoulli numbers, euler-maclaurin formula
5.10 asymptotic or semiconvergent series
5.11 infinite products
references
chapter 6. functions of a complex variable i
6.1 complex algebra
6.2 cauchy-riemann conditions
6.3 cauchy's integral theorem
6.4 cauchy's integral formula
6.5 laurent expansion
6.6 mapping
6.7 conformai, mapping
references
chapter 7. functions of a complex variable ii
7.1 singularities
7.2 calculus of residues
7.3 dispersion relations. 7.4 the method of steepest descentsreferences
chapter 8. differential equations
8.1 partial differential equations of theoretical physics
8.2 first-order differential equations
8.3 separation of variables-ordinary differential equations
8.4 singular points
8.5 series solutions-frobenius' method
8.6 a second solution
8.7 nonhomogeneous equation-green's function
8.8 numerical solutions
references
chapter 9. sturm-liouville theory-orthogonal functions
9.1 self-adjoint differential equations
9.2 hermitian (self-adjoint) operators
9.3 gram-schmidt orthogonalization.

✦ Subjects

Mathematics;Mathematical physics;MATHEMATICS -- Calculus;MATHEMATICS -- Mathematical Analysis