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Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compac
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 201904
  • Antal sidor: 282
  • Vikt i gram: 658
  • ISBN10:0999811770
  • ISBN13:9780999811771

Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compac

(Häftad)
Beskrivning:

Topology for Beginners consists of a series of basic to intermediate lessons in topology. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Topology for Beginners is perfect for

  • professors teaching an undergraduate course or basic graduate course in topology.
  • 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 set theory and topology.
  • A problem set after each lesson arranged by difficulty level.
  • A complete solution guide is included as a downloadable PDF file.
Topology Book Table Of Contents (Selected) Here's a selection from the table of contents:

Introduction

Lesson 1 - Sets and Subsets

Lesson 2 - Operations on Sets

Lesson 3 - Relations

Lesson 4 - Functions and Equinumerosity

Lesson 5 - Number Systems and Induction

Lesson 6 - Algebraic Structures and Completeness

Lesson 7 - Basic Topology of R and C

Lesson 8 - Continuity in R and C

Lesson 9 - Topological Spaces

Lesson 10 - Separation and Countability

Lesson 11 - Metrizable Spaces

Lesson 12 - Compactness

Lesson 13 - Continuity and Homeomorphisms

Lesson 14 - Connectedness

Lesson 15 - Function Spaces

Lesson 16 - Algebraic Topology

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