2001 reprint of the 1972 edition (3rd)
This well-known text and reference contains an account of those mathematical methods that have applications in at least two branches of physics. The authors give examples of the practical use of the methods taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. They pay particular attention to the conditions under which theorems hold. Helpful exercises accompany each chapter
Author(s): Jeffreys H., Jeffreys B.
Series: Cambridge Mathematical Library
Edition: 3rd.
Publisher: Cambridge University Press
Year: 1972
Language: English
Pages: X; 718
Title Page
Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Authors' Notes
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
Notes
Addenda
Appendix on Notation
Index
