Mathematical Methods of Physics
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Mathematical Methods of Physics: Problems with Solutions

Mathematical Methods of Physics: Problems with Solutions

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About the Book

This book, translated from Russian, is a comprehensive guide to mathematical methods in physics, offering theoretical insights and problem-solving techniques. Authored by experienced physicists, it is suitable for self-study and has been effectively used in fields such as theoretical physics, plasma physics, and hydrodynamics. The English edition aims to equip readers with the skills to master modern mathematical methods applicable to different physical problems.

Table of Contents:
1 Linear Operators 1.1 Finite Dimensional Space 1.2 Functionals and Generalized Functions 1.3 Hilbert Space and Completeness 1.4 Self-Adjoint Operators 1.5 Ket- and Bra- Vectors 2 Method of Characteristics 2.1 Linear First-Order PDE 2.2 Quasilinear Equation 2.3 System of Equations 3 Second-Order Linear Equations 3.1 Canonical Form 3.2 Curvilinear Coordinates 3.3 Separation of Variables 3.4 Fourier Method 4 Self-Similarity and Nonlinear Equations 4.1 Symmetry of Equations 4.2 Nonlinear Equations 5 Special Functions 5.1 Singular Points 5.2 Hypergeometric Functions 5.3 Orthogonal Polynomials 6 Asymptotic Methods 6.1 Asymptotic Power Series 6.2 A Laplace Integral 6.3 Method of Stationary Phase 6.4 Method of Steepest Descents 6.5 The Averaging Method 7 Green’s Functions Method 7.1 Green’s Functions 7.2 Continuous Spectrum 7.3 Resolvent 8 Integral Equations 8.1 Fredholm Equations 8.2 Degenerate Kernel 8.3 Symmetric Kernel 8.4 Inverse Problem for Schrödinger Operator 9 Groups and Representations 9.1 Groups 9.2 Representations 10 Continuous Groups 10.1 Lie Groups and Algebras 10.2 Representations of the Rotation Group 11 Group Theory in Physics 11.1 Molecular Oscillations 11.2 Level Splitting 11.3 Selection Rules 11.4 Invariant Tensors


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Product Details
  • ISBN-13: 9781040117798
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Taylor & Francis Ltd
  • Language: English
  • ISBN-10: 1040117791
  • Publisher Date: 11 Oct 2024
  • Binding: Digital (delivered electronically)
  • Sub Title: Problems with Solutions


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