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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. Printed Pages: 0. Buchnummer des Verkäufers 100099
Titel: Mathematical Analysis: A Straightforward ...
Verlag: Cambridge University Press 0
Auflage: 2nd edition.