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An Introduction to Real Analysis
 
Yitzhak Katznelson Stanford University, Stanford, CA
Yonatan Katznelson University of California, Santa Cruz, CA
Softcover ISBN:  978-1-4704-7421-8
Product Code:  AMSTEXT/65
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-7725-7
Product Code:  AMSTEXT/65.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7421-8
eBook: ISBN:  978-1-4704-7725-7
Product Code:  AMSTEXT/65.B
List Price: $174.00 $131.50
MAA Member Price: $156.60 $118.35
AMS Member Price: $139.20 $105.20
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An Introduction to Real Analysis
Yitzhak Katznelson Stanford University, Stanford, CA
Yonatan Katznelson University of California, Santa Cruz, CA
Softcover ISBN:  978-1-4704-7421-8
Product Code:  AMSTEXT/65
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-7725-7
Product Code:  AMSTEXT/65.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7421-8
eBook ISBN:  978-1-4704-7725-7
Product Code:  AMSTEXT/65.B
List Price: $174.00 $131.50
MAA Member Price: $156.60 $118.35
AMS Member Price: $139.20 $105.20
  • Book Details
     
     
    Pure and Applied Undergraduate Texts
    Volume: 652024; 264 pp
    MSC: Primary 26

    An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.

    The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.

    Readership

    Undergraduate students interested in a rigorous course in real analysis.

  • Table of Contents
     
     
    • Chapters
    • The real numbers
    • Sequences and series
    • The topology of the real line
    • Continuous functions
    • Sequences and series of functions
    • Differentiation
    • The Riemann integral
    • The Lebesgue integral
    • Appendix A. Set theory and constructing $\mathbb {R}$
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 652024; 264 pp
MSC: Primary 26

An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.

The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.

Readership

Undergraduate students interested in a rigorous course in real analysis.

  • Chapters
  • The real numbers
  • Sequences and series
  • The topology of the real line
  • Continuous functions
  • Sequences and series of functions
  • Differentiation
  • The Riemann integral
  • The Lebesgue integral
  • Appendix A. Set theory and constructing $\mathbb {R}$
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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