Mathematical Methods for Physicists

封面
Academic Press, 2013年10月22日 - 1029 頁
This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject.
A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use.

This revised Fourth Edition includes:
Modernized terminology
Group theoretic methods brought together and expanded in a new chapter
An entirely new chapter on nonlinear mathematical physics
Significant revisions of the differential equations and complex variables chapters
Many new or improved exercises
Forty new or improved figures
An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others
 

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內容

CHAPTER 1 VECTOR ANALYSIS
1
CHAPTER 2 VECTOR ANALYSIS IN CURVED COORDINATES AND TENSORS
99
CHAPTER 3 DETERMINANTS AND MATRICES
156
CHAPTER 4 GROUP THEORY
223
CHAPTER 5 INFINITE SERIES
284
CHAPTER 6 FUNCTIONS OF ACOMPLEX VARIABLE 1
363
CHAPTER 7 FUNCTIONS OF ACOMPLEX VARIABLE II
410
CHAPTER 8 DIFFERENTIALEQUATIONS
456
CHAPTER 13 SPECIAL FUNCTIONS
766
CHAPTER 14 FOURIER SERIES
808
CHAPTER 15 INTEGRAL TRANSFORMS
846
CHAPTER 16 INTEGRAL EQUATIONS
920
CHAPTER 17 CALCULUS OF VARIATIOS
952
CHAPTER 18 NONLINEAR METHODS AND CHAOS
992
Real Zeros of a Function
1005
Gaussian Quadrature
1009

CHAPTER 9 STURMLIOUVILLE THEORYORTHOGONAL FUNCTIONS
537
CHAPTER 10 THE GAMMA FUNCTION FACTORIAL FUNCTION
591
11 BESSEL FUNCTIONS
627
12 LEGENDRE FUNCTIONS
693
GENERAL REFERENCES
1016
INDEX
1017
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