**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Algebraic Topology Books **. We hope students and teachers like these **textbooks**, notes and solution manuals.

**Share this page:- **

**About this book :- **
**A First Course in Algebraic Topology ** written by
** Czes Kosniowski **.

This self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is). The book has emerged from courses given at the University of Newcastle-upon-Tyne to senior undergraduates and beginning postgraduates. It has been written at a level which will enable the reader to use it for self-study as well as a course book. The approach is leisurely and a geometric flavour is evident throughout. The many illustrations and over 350 exercises will prove invaluable as a teaching aid. This account will be welcomed by advanced students of pure mathematics at colleges and universities.

**Book Detail :- **
** Title: ** A First Course in Algebraic Topology
** Edition: **
** Author(s): ** Czes Kosniowski
** Publisher: ** Cambridge University Press
** Series: **
** Year: ** 1980
** Pages: **
** Type: ** PDF
** Language: ** English
** ISBN: ** 0521231957,9780521231954
** Country: **
** Get this book from Amazon**

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**A First Course in Algebraic Topology ** written by
** Czes Kosniowski **
cover the following topics.

1. Sets and groups

2. Metric spaces, Topological spaces, Continuous functions

3. Induced topology, Quotient topology (and groups acting on spaces)

4. Product spaces, Compact spaces, Hausdorff spaces, Connected spaces

5. The pancake problems

6. Manifolds and surfaces

7. Paths and path connected spaces, The Jordan curve theorem

8. Homotopy of continuous mappings

9. 'Multiplication' of paths

10. The fundamental group, The fundamental group of a circle

11. Covering spaces, The fundamental group of a covering space, The fundamental group of an orbit space

12. The Borsuk-Ulam and ham-sandwhich theorems, More on covering spaces: lifting theorems, More on covering spaces: existence theorems

13. The SeifertVan Kampen theorem: I Generators; II Relations; III Calculations

14. The fundamental group of a surface

15. Knots: I Background and torus knots, Knots : II Tame knots, Table of Knots

16. Singular homology: an introduction

17. Suggestions for further reading

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis