Basic Real Analysis （2003. XII, 559 p. 24 cm）

Basic Real Analysis （2003. XII, 559 p. 24 cm）

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  • 製本 Hardcover:ハードカバー版／ページ数 400 p.
  • 商品コード 9780817642112

Full Description

Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.

Contents

Preface * Set Theory * Sequences and Series of Real Numbers * Limits of Functions * Topology of R and Continuity * Metric Spaces * The Derivative * The Riemann Integral * Sequences and Series of Functions * Normed and Function Spaces * The Lebesgue Integral * Lebesgue Measure * General Measure and Probability * Appendix A: Construction of Real Numbers * References * Index