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.
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Editorial Reviews
Book Description
This self-contained introduction to algebraic topology is suitable for a number of topology courses. 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.
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8 of 9 people found the following review helpful:
5.0 out of 5 stars
Very well written introduction.,
By J.-O. MOUSSAFIR (Neuilly sur Seine France) - See all my reviews
This review is from: A First Course in Algebraic Topology (Paperback)
The book is a very well written introduction to algebraic topology. It presents the main basic results, provides geometric insights and computational tools. After reading it one really feels confident and one whishes to go further : the book really is what the title says. It is therefore perfectly suited for a first reading.
5.0 out of 5 stars
Nearly perfect,
By Tosha (USA) - See all my reviews
This review is from: A First Course in Algebraic Topology (Paperback)
Nearly perfect introduction to point-set and algebraic topology.Cons: 1. The mathematical formulas might look better (they are not typed in TeX); 2. Old-fashioned A-B for A\B.
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6
books
cite this book:
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- Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics) by Alexander V. Razumov in Back Matter
- Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics) (v. 145) by James W. Vick in Back Matter
- Introduction to Topology (Student Mathematical Library, V. 14) by V. A. Vassiliev in Front Matter
- Introduction to Geometry of Manifolds with Symmetry (Mathematics and Its Applications (closed)) by V.V. Trofimov in Back Matter
- An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman in Back Matter
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