For the second edition of this very successful text, Professor Binmore has written two new 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.
For the second edition of this very successful text, Professor Binmore has written two new 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.
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.
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.
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