An introduction to analysis : from number to integral
著者
書誌事項
An introduction to analysis : from number to integral
Wiley & Sons, c1993
- : hk
- : pbk
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注記
Includes index
内容説明・目次
- 巻冊次
-
: hk ISBN 9780471589884
内容説明
Based on the lifetime work of leading teacher and researcher Jan Mikusinski, this classroom--tested book provides a thorough grounding in mathematical analysis, calculus and mathematical proofing. It introduces natural numbers through a new mathematical approach; replaces the Riemann integral with the more general Lebesgue integral; and rigorously develops the real number system from four simple axioms of natural numbers. Additional features include a wider range of problems than other texts----including simple and routine as well as problems requiring more in depth creativity, answers to common questions, a new approach to the concept of equivalence relation which simplifies the construction of real numbers, and a large number of computational applications.
目次
Natural Numbers. Real Numbers. Functions. Sequences and Series. Complements to the Theory of Limits. Antiderivatives. The Lebesgue Integral. Hints and Answers. Index.
- 巻冊次
-
: pbk ISBN 9780471599777
内容説明
Aims to provide students with a solid background for further studies in mathematical analysis. The text features a new approach to natural numbers which simplifies the construction of real numbers and develops the concepts of calculus more logically and systematically.
目次
- Natural Numbers
- Real Numbers
- Functions
- Sequences and Series
- Complements to the Theory of Limits
- Antiderivatives
- The Lebesgue Integral
- Hints and Answers
- Index.
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