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Continuity Theory

  • Louis┬áNel

Table of contents

  1. Front Matter
    Pages i-xix
  2. Louis Nel
    Pages 1-16
  3. Louis Nel
    Pages 17-51
  4. Louis Nel
    Pages 53-92
  5. Louis Nel
    Pages 93-120
  6. Louis Nel
    Pages 121-174
  7. Louis Nel
    Pages 175-250
  8. Louis Nel
    Pages 251-325
  9. Louis Nel
    Pages 327-335
  10. Louis Nel
    Pages 337-349
  11. Louis Nel
    Pages 351-368
  12. Louis Nel
    Pages 369-392
  13. Louis Nel
    Pages 393-402
  14. Louis Nel
    Pages 403-415
  15. Louis Nel
    Pages 417-445
  16. Back Matter
    Pages 447-460

About this book

Introduction

This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous studies and new material. 

In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from the subject's classical texts and wish to become acquainted with a new approach. The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit.

Keywords

Continuous Mappings Metric Spaces Functional Analysis Continuity Spaces Convergence Axioms

Authors and affiliations

  • Louis┬áNel
    • 1
  1. 1.OSGOODECanada

Bibliographic information