Mathematical Analysis

A Straightforward Approach

K. G. Binmore (Autor)

Buch | Softcover

376 Seiten

1982 | 2nd Revised edition
Cambridge University Press (Verlag)
978-0-521-28882-8 (ISBN)

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For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are included where appropriate. The first edition contained numerous worked examples and an ample collection of exercises for all of which solutions were provided at the end of the book. The second edition retains this feature but in addition offers a set of problems for which no solutions are given. Teachers may find this a helpful innovation.

Preface to the first edition; Preface to the second edition; 1. Real numbers; 2. Continuum property; 3. Natural numbers; 4. Convergent sequences; 5. Subsequences; 6. Series; 7. Functions; 8. Limits of functions; 9. Continuity; 10. Differentiation; 11. Mean value theorems; 12. Monotone functions; 13. Integration; 14. Exponential and logarithm; 15. Power series; 16. Trigonometric functions; 17. The gamma function; 18. Vectors; 19. Vector derivatives; 20. Appendix; Solutions to exercises; Further problems; Suggested further reading; Notation; Index.

Erscheint lt. Verlag	2.9.1982
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	540 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-521-28882-7 / 0521288827
ISBN-13	978-0-521-28882-8 / 9780521288828
Zustand	Neuware