Description

Book Synopsis
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.

Table of Contents
  • 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

Fundamentals of Mathematical Analysis

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    £71.10

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    Order before 4pm today for delivery by Wed 24 Jun 2026.

    A Hardback by Paul Sally Jr.

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      View other formats and editions of Fundamentals of Mathematical Analysis by Paul Sally Jr.

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2013 12:00:00 AM
      ISBN13: 9780821891414, 978-0821891414
      ISBN10: 0821891413

      Description

      Book Synopsis
      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.

      Table of Contents
      • 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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