This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.
Difference between revisions of "Topology Illustrated"
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Below are some sections of an early online draft (11/15/2015). Because of the extensive editing that had happened prior to publication, some of the sections had to be omitted.  Below are some sections of an early online draft (11/15/2015). Because of the extensive editing that had happened prior to publication, some of the sections had to be omitted.  
−  A bird'seye view of discrete calculus is given in Chapter 4. I recently created  +  A bird'seye view of discrete calculus is given in Chapter 4. I recently created an article [https://en.wikipedia.org/wiki/Discrete_calculus “Discrete calculus” for Wikipedia]. It’ll need a lot of work. 
If you have any questions, please email me or try the [http://facebook.com/topologybook/ facebook page] (until a better place is found).  If you have any questions, please email me or try the [http://facebook.com/topologybook/ facebook page] (until a better place is found). 
Latest revision as of 13:12, 11 September 2019
Topology Illustrated by Peter Saveliev
Contains 1000 illustrations.
Sold on Amazon.com. If you are an instructor considering using the book for your class, contact me about a copy.
Below are some sections of an early online draft (11/15/2015). Because of the extensive editing that had happened prior to publication, some of the sections had to be omitted.
A bird'seye view of discrete calculus is given in Chapter 4. I recently created an article “Discrete calculus” for Wikipedia. It’ll need a lot of work.
If you have any questions, please email me or try the facebook page (until a better place is found).
CONTENTS
Preface 1
Chapter 1. Cycles

Chapter 2. Topologies

Chapter 3. Complexes

Chapter 4. Spaces

Chapter 5. Maps

Chapter 6. Forms

Chapter 7. Flows

 Appendix: Notation 4
 Appendix: Student's guide to proof writing 3
 Index
 Link: Spreadsheets
 Link: Errata
 Link: Addenda
 Addendum: The political spectrum is a circle
 Addendum: Integervalued calculus