A First Course in Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book A First Course in Analysis by Donald Yau, World Scientific Publishing Company
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Author: Donald Yau ISBN: 9789814417877
Publisher: World Scientific Publishing Company Publication: November 29, 2012
Imprint: WSPC Language: English
Author: Donald Yau
ISBN: 9789814417877
Publisher: World Scientific Publishing Company
Publication: November 29, 2012
Imprint: WSPC
Language: English

This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.

Contents:

  • Sets, Functions, and Real Numbers
  • Sequences
  • Series
  • Continuous Functions
  • Differentiation
  • Integration
  • Sequences and Series of Functions

Readership: Undergraduates and graduate students in analysis.

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This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.

Contents:

Readership: Undergraduates and graduate students in analysis.

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