Methods of Mathematical Physics

Author:   Harold Jeffreys (University of Cambridge and St John's College, Cambridge) ,  Bertha Jeffreys (Girton College, Cambridge)
Publisher:   Cambridge University Press
Edition:   3rd Revised edition
ISBN:  

9781139168489


Publication Date:   12 September 2018
Format:   Undefined
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Methods of Mathematical Physics


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Overview

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.

Full Product Details

Author:   Harold Jeffreys (University of Cambridge and St John's College, Cambridge) ,  Bertha Jeffreys (Girton College, Cambridge)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Edition:   3rd Revised edition
ISBN:  

9781139168489


ISBN 10:   1139168487
Publication Date:   12 September 2018
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. The real variable; 2. Scalars and vectors; 3. Tensors; 4. Matrices; 5. Multiple integrals; 6. Potential theory; 7. Operational methods; 8. Physical applications of the operational method; 9. Numerical methods; 10. Calculus of variations; 11. Functions of a complex variable; 12. Contour integration and Bromwich's integral; 13. Contour integration; 14. Fourier's theorem; 15. The factorial and related functions; 16. Solution of linear differential equations of the second order; 17. Asymptotic expansions; 18. The equations of potential, waves and heat conduction; 19. Waves in one dimension and waves with spherical symmetry; 20. Conduction of heat in one and three dimensions; 21. Bessel functions; 22. Applications of Bessel functions; 23. The confluent hypergeometric function; 24. Legendre functions and associated functions; 25. Elliptic functions; Notes; Appendix on notation; Index.

Reviews

From reviews of the first edition: 'There must be very few major techniques in theoretical physics which are not explained here and illustrated by some genuine examples. It remains, and is likely to continue for many years, an almost indispensable work of reference for anyone attempting research in theoretical physics.' Proceedings of the Physical Society 'The most important single book on the applied mathematician's or theoretical physicist's bookshelf.' British Journal of Applied Physics 'This outstandingly excellent mathematical treatise ... The work is a fine product of British mathematical scholarship, and a benefaction to the cause of progress in natural philosophy.' Nature


From reviews of the first edition: 'There must be very few major techniques in theoretical physics which are not explained here and illustrated by some genuine examples. It remains, and is likely to continue for many years, an almost indispensable work of reference for anyone attempting research in theoretical physics.' Proceedings of the Physical Society 'The most important single book on the applied mathematician's or theoretical physicist's bookshelf.' British Journal of Applied Physics 'This outstandingly excellent mathematical treatise … The work is a fine product of British mathematical scholarship, and a benefaction to the cause of progress in natural philosophy.' Nature


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