An introduction to analysis : from number to integral

Jan Mikusiński, Piotr Mikusiński

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.

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[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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この本の情報

書名 An introduction to analysis : from number to integral
著作者等 Mikusiński, Jan
Mikusiński, Piotr
Mikunsinski Piotr
Mikunsinski Jan
出版元 Wiley & Sons
刊行年月 c1993
ページ数 xiii, 290 p.
大きさ 25 cm
ISBN 0471599778
0471589888
NCID BA20959871
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言語 英語
出版国 アメリカ合衆国
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