Advanced Mathematical Methods with Maple
Published on 22. November 2001
Book
Paperback/Softback
878 pages
978-0-521-77981-4 (ISBN)
Description
The last five years have seen an immense growth in the use of symbolic computing and mathematical software packages such as Maple. The first three chapters of this book provide a user-friendly introduction to computer-assisted algebra with Maple. The rest of the book then develops these techniques and demonstrates the use of this technology for deriving approximate solutions to differential equations (linear and nonlinear) and integrals. In each case, the mathematical concepts are comprehensively introduced, with an emphasis on understanding how solutions behave and why various approximations can be used. Where appropriate, the text integrates the use of Maple to extend the utility of traditional approximation techniques. Advanced Mathematical Methods with Maple is the ideal companion text for advanced undergraduate and graduate students of mathematics and the physical sciences. It incorporates over 1000 exercises with different levels of difficulty, for which solutions are provided on the Internet.
Reviews / Votes
'The aspect of the book that I particularly liked followed from the background of the author, who is not a physicist but an applied mathematician. This background meant that a wider view of the material was presented than we might expect from a physicist. For example, most physicists, when asked about perturbation theory might first talk about how a small change in an operator would lead to a small change in eigenvalues and the associated eigenfunctions. It is hard to do full justice here to a substantial book, over 800 pages in length, with its content of interesting and, at times, novel material. ... [The book] represents very good value. Final year undergraduates in theoretical or mathematical physics and theoretically and mathematically oriented postgraduates or researchers should give very serious consideration to purchasing this book.' D. Waxman, Contemporary PhysicsMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Illustrations
31 Tables, unspecified; 337 Line drawings, unspecified
Dimensions
Height: 248 mm
Width: 175 mm
Thickness: 42 mm
Weight
1829 gr
ISBN-13
978-0-521-77981-4 (9780521779814)
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Schweitzer Classification
Other editions
New editions
Book
06/2009
Cambridge University Press
€113.89
Shipment within 15-20 days
Person
Content
1. Introduction to Maple; 2. Simplification; 3. Functions and procedures; 4. Sequences, series and limits; 5. Asymptotic expansions; 6. Continued fractions and Pade approximants; 7. Linear equations and Green's functions; 8. Fourier series and systems of orthogonal functions; 9. Perturbation theory; 10. Sturm-Liouville systems; 11. Special functions; 12. Linear systems and Floquet theory; 13. Integrals and their approximation; 14. Stationary phase approximations; 15. Uniform approximations for differential equations; 16. Dynamical systems I; 17. Dynamical systems II: periodic orbits; 18. Discrete dynamical systems; 19. Periodically driven systems; Appendix I. The gamma and related functions; Appendix II. Elliptic functions; References; Index.