Introductory analysis : an inquiry approach

Introductory analysis : an inquiry approach /

Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis. The presentation of the material in the book is intended to be "inquiry-oriented'" in that as each major topic is discussed, details of the proo...

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Main Authors: Ross, John D. (Author), Richards, Kendall C. (Author)
Format: Electronic eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2020
Subjects:
Mathematical analysis.
Inquiry (Theory of knowledge)
Local Note:ProQuest Ebook Central
Table of Contents:
  • Exploring mathematical statements
  • Proving mathematical statements
  • Preliminary content
  • Properties of R
  • Accumulation points and closed sets
  • Open sets and open covers
  • Sequences and convergence
  • Subsequences and Cauchy sequences
  • Functions, limits, and continuity
  • Connected sets and the intermediate value theorem
  • Compact sets
  • Uniform continuity
  • Introduction to the derivative
  • The extreme and mean value theorems
  • The definite integral : part I
  • The definite integral : part II
  • The fundamental theorem(s) of calculus
  • Series
  • Function approximation
  • Power series
  • Sequences and series of functions
  • Metric spaces
  • Iterated functions and fixed point theorems
  • Brief summary of ordered field properties.

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