Mathematical methods for physicists.

Format:

Book

Author/Creator:

Arfken, George B. (George Brown), 1922-

Contributor:

Weber, Hans-Jurgen.

Language:

English

Subjects (All):

Mathematics.

Mathematical physics.

Physical Description:

1 online resource (1195 p.)

Edition:

6th ed. / George B. Arfken, Hans J. Weber.

Place of Publication:

Boston : Elsevier, 2005.

Language Note:

English

Summary:

This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.* Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly il

Contents:

Chapter 2. Vector Analysis in Curved Coordinates and Tensors2.1 Orthogonal Coordinates in R3; 2.2 Differential Vector Operators; 2.3 Special Coordinate Systems: Introduction; 2.4 Circular Cylinder Coordinates; 2.5 Spherical Polar Coordinates; 2.6 Tensor Analysis; 2.7 Contraction, Direct Product; 2.8 Quotient Rule; 2.9 Pseudotensors, Dual Tensors; 2.10 General Tensors; 2.11 Tensor Derivative Operators; Additional Readings; Chapter 3. Determinants and Matrices; 3.1 Determinants; 3.2 Matrices; 3.3 Orthogonal Matrices; 3.4 Hermitian Matrices, Unitary Matrices; 3.5 Diagonalization of Matrices

3.6 Normal MatricesAdditional Readings; Chapter 4. Group Theory; 4.1 Introduction to Group Theory; 4.2 Generators of Continuous Groups; 4.3 Orbital Angular Momentum; 4.4 Angular Momentum Coupling; 4.5 Homogeneous Lorentz Group; 4.6 Lorentz Covariance of Maxwell's Equations; 4.7 Discrete Groups; 4.8 Differential Forms; Additional Readings; Chapter 5. Infinite Series; 5.1 Fundamental Concepts; 5.2 Convergence Tests; 5.3 Alternating Series; 5.4 Algebra of Series; 5.5 Series of Functions; 5.6 Taylor's Expansion; 5.7 Power Series; 5.8 Elliptic Integrals

5.9 Bernoulli Numbers, Euler-Maclaurin Formula5.10 Asymptotic Series; 5.11 Infinite Products; Additional Readings; Chapter 6. Functions of a Complex Variable I Analytic Properties, Mapping; 6.1 Complex Algebra; 6.2 Cauchy-Riemann Conditions; 6.3 Cauchy's Integral Theorem; 6.4 Cauchy's Integral Formula; 6.5 Laurent Expansion; 6.6 Singularities; 6.7 Mapping; 6.8 Conformal Mapping; Additional Readings; Chapter 7. Functions of a Complex Variable II; 7.1 Calculus of Residues; 7.2 Dispersion Relations; 7.3 Method of Steepest Descents; Additional Readings

Chapter 8. The Gamma Function (Factorial Function)8.1 Definitions, Simple Properties; 8.2 Digamma and Polygamma Functions; 8.3 Stirling's Series; 8.4 The Beta Function; 8.5 Incomplete Gamma Function; Additional Readings; Chapter 9. Differential Equations; 9.1 Partial Differential Equations; 9.2 First-Order Differential Equations; 9.3 Separation of Variables; 9.4 Singular Points; 9.5 Series Solutions-Frobenius' Method; 9.6 A Second Solution; 9.7 Nonhomogeneous Equation-Green's Function; 9.8 Heat Flow, or Diffusion, PDE; Additional Readings

Chapter 10. Sturm-Liouville Theory-Orthogonal Functions

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786610961146

9781280961144

1280961147

9780080470696

0080470696

OCLC:

127114279