Introductory Analysis

Introductory Analysis : The Theory of Calculus

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Introductory Analysis, Second Edition, is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space
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Product details

  • Hardback | 335 pages
  • 160.5 x 237 x 25.4mm | 617.08g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 2nd edition
  • 0122676556
  • 9780122676550

Table of contents

Introduction: Mathematical Statements and Proofs.
Ordering of the Real Numbers.
Sequence Limits.
Completeness of the Real Numbers.
Continuous Functions.
Consequences of Continuity.
The Derivative.
The Riemann Integral.
Improper Integrals.
Infinite Series.
The Riemann-Stieltjes Integral.
Function Sequences.
Power Series.
Metric Spaces and Euclidean Spaces.
Continuous Transformations.
Differential Calculus in Euclidean Spaces.
Area and Integration in E(2).
Appendix A. Mathematical Induction.
Appendix B. Countable and Uncountable Sets.
Appendix C. Infinite Products.
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