Introductory analysis : an inquiry approach /

Introductory analysis : an inquiry approach /

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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
Main Authors: Ross, John D. (Author), Richards, Kendall C. (Author)
Format: Book
Language:English
Published: Boca Raton ; London ; New York, New York : CRC Press, [2020]
Boca Raton, FL : [2020]
Subjects:
Inquiry (Theory of knowledge)
Inquiry-based learning
Mathematical analysis
MATHEMATICS > Applied
MATHEMATICS > Arithmetic
MATHEMATICS > General
Electronic books
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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