Mathematical Methods for Physicists – Arfken & Weber – 3rd Edition

Description

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions.

Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

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  • Determinants and Matrices
    Vector Analysis
    Tensors and Differential Forms
    Vector Spaces
    Eigenvalue Problems
    Ordinary Differential Equations
    Sturm-Liouville Theory
    Partial Differential Equations
    Green's Functions
    Complex Variable Theory
    Further Topics in Analysis
    Gamma Function
    Bessel Functions
    Legendre Functions
    Angular Momentum
    Group Theory
    More Special Functions
    Fourier Series
    Integral Transforms
    Integral Equations
    Calculus of Variations
    Probability and Statistics
  • Citation

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