Fundamentals of mathematical analysis

書誌事項

Fundamentals of mathematical analysis

Paul J. Sally, Jr.

(The Sally series, . Pure and applied undergraduate texts ; 20)

American Mathematical Society, 2013

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注記

Includes bibliographical references and indexes

内容説明・目次

内容説明

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first, and most important, feature is the collection of exercises. These are spread throughout the chapters and should be regarded as an essential component of the student's learning. Some of these exercises comprise a routine follow-up to the material, while others challenge the student's understanding more deeply. The second feature is the set of independent projects presented at the end of each chapter. These projects supplement the content studied in their respective chapters. They can be used to expand the student's knowledge and understanding or as an opportunity to conduct a seminar in Inquiry Based Learning in which the students present the material to their class. The third really important feature is a series of challenge problems that increase in impossibility as the chapters progress.

目次

Preface Acknowledgments The construction of real and complex numbers Metric and Euclidean spaces Complete metric spaces Normed linear spaces Differentiation Integration Fourier analysis on locally compact abelian groups Sets, functions, and other basic ideas Linear algebra Bibliography Index of terminology Index of notation definitions

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詳細情報

  • NII書誌ID(NCID)
    BB12323019
  • ISBN
    • 9780821891414
  • LCCN
    2012036735
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    xiii, 362 p.
  • 大きさ
    26 cm
  • 親書誌ID
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