Methods of Theoretical Physics I

Methods of Theoretical Physics Part I, $119
ISBN 0976202107 (was 007043316X)
One set of Methods of Theoretical Physics, $189

Part I consists of eight chapters. It has 997 pages (plus a 14 page table of contents and a 40 page index). The table of contents, which is very detailed, has the following main headings.

    Chapter 1 Types of Fields
  • 1.1 Scalar Fields
  • 1.2 Vector Fields
  • 1.3 Curvilinear Coordinates
  • 1.4 The Differential Operator ∇
  • 1.5 Vector and Tensor Formalism
  • 1.6 Dyadics and Other Vector Operators
  • 1.7 The Lorentz Transformation, Four Vectors, Spinors
  • Problems
  • Table of Useful and Dyadic Equations
  • Table of Properties of Curvilinear Coordinates
  • Bibliography
    Chapter 2 Equations Governing Fields
  • 2.1 The Flexible String
  • 2.2 Waves in an Elastic Medium
  • 2.3 Motion of Fluids
  • 2.4 Diffusion and Other Perculative Fluid Motion
  • 2.5 The Electromagnetic Field
  • 2.6 Quantum Mechanics
  • Problems
  • Standard Forms for Some of the Partial Differential
    Equations of Theoretical Physics
  • Bibliography
    Chapter 3 Fields and the Variational Principle
  • 3.1 The Variational Integral and Euler Equations
  • 3.2 Hamilton's Principle and Classical Dynamics
  • 3.3 Scalar Fields
  • 3.4 Vector Fields
  • Problems
  • Tabulation of Variational Method
  • Bibliography
    Chapter 4 Functions of a Complex Variable
  • 4.1 Complex Numbers and Variables
  • 4.2 Analytic Functions
  • 4.3 Derivatives of Analytic Functions, Taylor and Laurent Series
  • 4.4 Multivalued Functions
  • 4.5 Calculus of Residues; Gamma and Elliptic Functions
  • 4.6 Asymptotic series; Method of Steepest Descent
  • 4.7 Conformal Mapping
  • 4.8 Fourier Integrals
  • Problems
  • Tabulation of Properties of Functions of Complex Variable
  • Tables of Special Functions of General Use
  • Bibliography
    Chapter 5 Ordinary Differential Equations
  • 5.1 Separable Coordinates
  • 5.2 General Properties, Series Solutions
  • 5.3 Integral Representations
  • Problems
  • Table of Separable Coordinates in Three Dimensons
  • Second Order Differential Equations and Their Solutions
  • Bibliography
    Chapter 6 Boundary Conditions and Eigenfunctions
  • 6.1 Types of Equations and of Boundary Conditions
  • 6.2 Difference Equations and Boundary Conditions
  • 6.3 Eigenfunctions and Their Use
  • Problems
  • Table of Useful Eigenfunctions and Their Properties
  • Eigenfunctions by the Factorization Method
  • Bibliography
    Chapter 7 Green's Functions
  • 7.1 Source Points and Boundary Points
  • 7.2 Green's Functions for Steady Waves
  • 7.3 Green's Function for the Scalar Wave Equation
  • 7.4 Green's Function for Diffusion
  • 7.5 Green's Function in Abstract Vector Form
  • Problems
  • Table of Green's Functions
  • Bibliography
    Chapter 8 Integral Equations
  • 8.1 Integral Equations of Physics, Their Classification
  • 8.2 General Properties of Integral Equations
  • 8.3 Solution of Fredholm Equations of the First Kind
  • 8.4 Solution of Integral Equations of the Second Kind
  • 8.5 Fourier Transforms and Integral Equations
  • Table of Integral Equations and Their Solutions
  • Bibliography
    Index