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Mathematical Analysis

Mathematical Analysis

Mathematical Analysis

A Straightforward Approach
2nd Edition
K. G. Binmore
September 1982
Paperback
9780521288828
$105.00
USD
Paperback
USD
eBook

    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.

    Product details

    September 1982
    Paperback
    9780521288828
    376 pages
    229 × 152 × 21 mm
    0.54kg
    Available

    Table of Contents

    • 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.
      Author
    • K. G. Binmore