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Elementary Analysis: The Theory of Calculus, 2ed (Undergraduate Texts in Mathematics) 요약정보 및 구매

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지은이 Kenneth A. Ross
발행년도 2013-04-17
판수 2판
페이지 428
ISBN 9781461462705
도서상태 구매가능
판매가격 72,000원
포인트 0점
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  • Elementary Analysis: The Theory of Calculus, 2ed (Undergraduate Texts in Mathematics)
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  • From the reviews of the first edition: "This book is intended for the student who has a good, but naive, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer's opinion, has succeeded admirably." MATHEMATICAL REVIEWS "This book occupies a niche between a calculus course and a full-blown real analysis course... I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis .... Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." Allen Stenger (The Mathematical Association of America, June, 2008)

  • 1 Introduction.

    2 Sequences. 

    3 Continuity. 

    4 Sequences and Series of Functions. 

    5 Differentiation.

    6 Integration. 

    7 Capstone. 


    - Appendix on Set Notation. 

    - Selected Hints and Answers. 

    - References.

    - Index.

  • Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.
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선택된 옵션

  • Elementary Analysis: The Theory of Calculus, 2ed (Undergraduate Texts in Mathematics)
    +0원