A First Course in Algebraic Topology
A First Course in Algebraic Topology by Czes Kosniowski is a self-contained introduction published by Cambridge University Press on October 31, 1980. This reissue spans 280 pages and is presented in English. The book serves as a resource for various topology courses, combining elements of general topology and algebraic topology, with a focus on the fundamental group, providing a foundational understanding of the subject.
Readers will find that the text is designed for both self-study and as a course book, making it accessible to senior undergraduates and beginning postgraduates. The leisurely approach, complemented by numerous illustrations and over 350 exercises, enhances the learning experience. This book is particularly relevant for advanced students of pure mathematics, offering insights into algebraic topology while maintaining a geometric perspective throughout.
Official synopsis Publisher
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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