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Introduction to analysis

Author: Arthur Mattuck
Publisher: Upper Saddle River, N.J. : Prentice Hall, ©1999.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Designed for a one-semester undergraduate analysis course, this new text is written in a conversational, accessible style offering a great deal of examples. It gradually ascends in difficulty to help  Read more...

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Genre/Form: Einführung
Document Type: Book
All Authors / Contributors: Arthur Mattuck
ISBN: 0130811327 9780130811325
OCLC Number: 39235704
Notes: Includes index.
Description: xvi, 460 pages : illustrations ; 25 cm
Contents: 1. Real Numbers and Monotone Sequences. 2. Estimations and Approximations. 3. The Limit of a Sequence. 4. The Error Term. 5. Limit Theorems for Sequences. 6. The Completeness Principle. 7. Infinite Series. 8. Power Series. 9. Functions of One Variable. 10. Local and Global Behavior. 11. Continuity and Limits of Functions. 12. The Intermediate Value Theorem. 13. Continuous Functions on Compact Intervals. 14. Differentiation: Local Properties. 15. Differentiation: Global Properties. 16. Linearization and Convexity. 17. Taylor Approximation. 18. Integrability. 19. The Riemann Integral. 20. Derivatives and Integrals. 21. Improper Integrals. 22. Sequences and Series of Functions. 23. Infinite Sets and the Lebesgue Integral. 24. Continuous Functions on the Plane. 25. Point-sets in the Plane. 26. Integrals with a Parameter. 27. Differentiating Improper Integrals. Appendix. A. Sets, Numbers, and Logic. B. Quantifiers and Negation. C. Picard's Method. D. Applications to Differential Equations. E. Existence and Uniqueness of ODE Solutions.
Responsibility: Arthur Mattuck.

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