Mathematical Methods for Physicists
Mathematical Methods for Physicists
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ABOUT THIS BOOK:
Selling more than 70,000 copies through four previous editions, this best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. An essential addition to the bookshelf of any serious student of physics or research professional in the field.
KEY FEATURES:
* Completely new art program throughout the book
* Updated references for using Numerical Recipes and Mathematics computational techniques
* Valuable reference compendium for important mathematical methods used in physics
ABOUT THE AUTHORS:
George B. Afken is Professor Emeritus at Miami University of Ohio, and resides in Clearwater, Florida.
Hans Juergen Weber is Professor of Physics at the University of Virginia, and a scholar and researcher in the fields of theoretical nuclear physics and particle physics. As part of his research with students and colleagues he analyzes data from the Thomas Jefferson National Accelerator Facility in Newport News, VA relating to the quark structure of the proton and neutron. Prof. Weber holds a doctorate (Doctor rer. nat.) from the University of Frankfurt and has published more than 100 papers in current physics journals.
Content:
Vector Analysis
Rotation of the Coordinate Axes
Scalar or Dot Product
Vector or Cross Product
Triple Scalar Product, Triple Vector Product
Gradient, [down triangle, open]
Divergence, [down triangle, open]
Curl, [down triangle, open] x
Successive Applications of [down triangle, open]
Vector Integration
Gauss's Theorem
Stokes's Theorem
Potential Theory
Gauss's Law, Poisson's Equation
Dirac Delta Function
Helmholtz's Theorem
Curved Coordinates, Tensors
Orthogonal Coordinates
Differential Vector Operators
Special Coordinate Systems: Introduction
Circular Cylindrical Coordinates
Spherical Polar Coordinates
Tensor Analysis
Contraction, Direct Product
Quotient Rule
Pseudotensors, Dual Tensors
Non-Cartesian Tensors
Tensor Derivative Operators
Determinants and Matrices
Determinants
Matrices
Orthogonal Matrices
Hermitian Matrices, Unitary Matrices
Diagonalization of Matrices
Normal Matrices
Group Theory
Introduction to Group Theory
Generators of Continuous Groups
Orbital Angular Momentum
Angular Momentum Coupling
Homogeneous Lorentz Group
Lorentz Covariance of Maxwell's Equations
Discrete Groups
Infinite Series
Convergence Tests
Alternating Series
Algebra of Series
Series of Functions
Taylor's Expansion
Power Series
Elliptic Integrals
Bernoulli Numbers, Euler-Maclaurin Formula
Asymptotic Series
Infinite Products
Functions of a Complex Variable I
Complex Algebra., ISBN13: 9780120598205 ISBN10: 0120598205 Material Type: hardcover
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