Methods of mathematical physics 3rd Edition by Harold Jeffreys, Bertha Swirles 9780521664028 0521664020
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Product details:
ISBN 10: 0521664020
ISBN 13: 9780521664028
Author: Harold Jeffreys, Bertha Swirles
This well-known text and reference contains an account of those parts of mathematics that are most frequently needed in physics. As a working rule, it includes methods which have applications in at least two branches of physics. The authors have aimed at a high standard of rigour and have not accepted the often-quoted opinion that ‘any argument is good enough if it is intended to be used by scientists’. At the same time, they have not attempted to achieve greater generality than is required for the physical applications: this often leads to considerable simplification of the mathematics. Particular attention is also paid to the conditions under which theorems hold. Examples of the practical use of the methods developed are given in the text: these are taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. Exercises accompany each chapter.
Table of contents:
Chapter 1. The Real Variable
Chapter 2. Scalars and Vectors
Chapter 3. Tensors
Chapter 4. Matrices
Chapter 5. Multiple Integrals
Chapter 6. Potential Theory
Chapter 7. Operational Methods
Chapter 8. Physical Applications of the Operational Method
Chapter 9. Numerical Methods
Chapter 10. Calculus of Variations
Chapter 11. Functions of a Complex Variable
Chapter 12. Contour Integration and Bromwich’s Integral
Chapter 13. Conformal Representation
Chapter 14. Fourier’s Theorem
Chapter 15. The Factorial and Related Functions
Chapter 16. Solution of Linear Differential Equations of the Second Order
Chapter 17. Asymptotic Expansions
Chapter 18. The Equations of Potential, Waves, and Heat Conduction
Chapter 19. Waves in One Dimension and Waves with Spherical Symmetry
Chapter 20. Conduction of Heat in One and Three Dimensions
Chapter 21. Bessel Functions
Chapter 22. Applications of Bessel Functions
Chapter 23. The Confluent Hypergeometric Function
Chapter 24. Legendre Functions and Associated Functions
Chapter 25. Elliptic Functions
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Tags: Harold Jeffreys, Bertha Swirles, Methods, mathematical