Name: Advanced Mathematical Methods with Maple von Derek Richards (The Open University, Milton Keynes)
SKU: 9780521779814
Price: 65.00 CHF
Availability: InStock

Advanced Mathematical Methods with Maple Zusammenfassung

Advanced Mathematical Methods with Maple Derek Richards (The Open University, Milton Keynes)

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.

Advanced Mathematical Methods with Maple Bewertungen

'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 Physics

Inhaltsverzeichnis

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. SturmLiouville 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.

Zusätzliche Informationen

Sku

GOR008646472

ISBN 13

9780521779814

ISBN 10

0521779812

Titel

Advanced Mathematical Methods with Maple Derek Richards (The Open University, Milton Keynes)

Autor

Derek Richards (The Open University, Milton Keynes)

Zustand

Gebraucht - Sehr Gut

Bindung

Broschiert

Verlag

Cambridge University Press

Datum

2001-11-22

Anzahl der Seiten

878

Preise

N/A

Begleitschreiben

Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.

Hinweis

Dies ist ein gebrauchtes Buch. Es wurde schon einmal gelesen und weist von der früheren Nutzung Gebrauchsspuren auf. Wir gehen davon aus, dass es im Großen und Ganzen in einem sehr guten Zustand ist. Sollten Sie jedoch nicht vollständig zufrieden sein, setzen Sie sich bitte mit uns in Verbindung.