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Alps R Morse's Set Theory and Analysis 2022

Category: eBooks



Alps R  Morse's Set Theory and Analysis 2022


pdf | 3.88 MB | English | Isbn:‎ 978-1951619060 | Author: Steve Warner | Year: 2020



Description:

Real Analysis for Beginners consists of a series of basic to intermediate lessons in real analysis. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Real Analysis for Beginners is perfect for
  • professors teaching an undergraduate course or basic graduate course in real analysis.
  • high school teachers working with advanced math students.
  • students wishing to see the type of mathematics they would be exposed to as a math major.

    The material in this pure math book includes:
  • 16 lessons consisting of basic to intermediate topics in real analysis.
  • A problem set after each lesson arranged by difficulty level.
  • A complete solution guide is included as a downloadable PDF file.

    Real Analysis Book Table Of Contents (Selected)
    Here's a selection from the table of contents:

    Introduction
    Lesson 1 - Basic Set Theory
    Lesson 2 - Relations and Partitions
    Lesson 3 - Functions
    Lesson 4 - Number Systems and Induction
    Lesson 5 - Equinumerosity
    Lesson 6 - Algebraic Structures and Completeness
    Lesson 7 - Basic Topology of R
    Lesson 8 - Limits and Continuity
    Lesson 9 - Topological Continuity
    Lesson 10 - Differentiaton
    Lesson 11 - Riemann Integration
    Lesson 12 - Logarithmic and Exponential Functions
    Lesson 13 - Improper Integration
    Lesson 14 - Sequences
    Lesson 15 - Series
    Lesson 16 - Sequences and Series of Functions


  • Category:Mathematical Set Theory, Mathematical Analysis, Mathematics



       
       
       


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