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eBook A First Course in Algebraic Topology epub

by Czes Kosniowski

eBook A First Course in Algebraic Topology epub
  • ISBN: 0521298644
  • Author: Czes Kosniowski
  • Genre: Science
  • Subcategory: Mathematics
  • Language: English
  • Publisher: Cambridge University Press; Reissue edition (October 31, 1980)
  • Pages: 280 pages
  • ePUB size: 1243 kb
  • FB2 size 1804 kb
  • Formats txt mbr docx azw


This self-contained introduction to algebraic topology is suitable for a number of topology courses.

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. The book has emerged from courses given at the University of Newcastle-upon-Tyne to senior undergraduates and beginning postgraduates

Cambridge ; New York : Cambridge University Press. inlibrary; printdisabled; ; china. Books for People with Print Disabilities. Internet Archive Books. Uploaded by Lotu Tii on August 7, 2014.

algebraic topology Czes Kosniowski is Lecturer in Mathematics The . This book provides a variety of self-contained introductory courses on algebraic topology for the average student.

algebraic topology Czes Kosniowski is Lecturer in Mathematics The Umversify of Newcastle upon Tyne. British Library Cataloguing in Publication Data Kosniowski, Czes A first course in algebraic topology. 1. Algebraic topology I. Title. 2 QA612 79-41682 ISBN 0 521 23195 7 hard covers ISBN 0 521 29864 4 paperback. It has been written with a geometric flavour and is profusely illustrated (after all, topology is a branch of geo-.

Will be shipped from US. Used books may not include companion materials, may have some shelf wear, may contain highlighting/notes. Find all the books, read about the author, and more. Are you an author? Learn about Author Central. Czes Kosniowski; (Author).

1. What is algebraic topology? A topological space X is a set in which there is a notion of nearness of points.

Before that, the topologists, including me, thought that it would be impossible to squeeze a serious introduction to al-gebraic topology into a one quarter course, but we were overruled by the analysts and algebraists, who felt that it was unacceptable for graduate students to obtain their PhDs without having some contact with algebraic topology.

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.

Algebraic topology czes kosniwski PD. First published 1980 Printed and bound in Great Britain by Morrison & Gibb [td. ondon and Pdinbat ph: British Library Catalowuiny, in Publication Data Kosniowski, C705 A first couse nn alpebrite topelops, 1. Alvebraic topolory 1 Title S14'. 2 QAGL2 [416K ISBN 58 7 hatd covers ISBN . 21 29864 4 paperback 13 14 15 16 17 18 19.

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.
Comments: (5)
Braned
This rate considered four stars just for the use of an old typographic style, because the content is very good and the level is adequate.
Jaberini
For the Mathematicians, who does not want to lost time, this is a good book to review Topology. Good Book
Tinavio
What a great little book! I remember getting it as an undergraduate; a contrast with point-set topology I was studying at the time was remarkable. I soon came to appreciate geometric aspects of topology as well as its visualization. In retrospect, I just wish that an introduction to algebraic topology was not via the fundamental group but homology. The advantages are the following: (1) you can start with homology without any point-set topology, (2) with homology you study topological features of all dimensions instead of just one (cuts, tunnels, voids, etc.), and (3) you can connect homology back to calculus (via cohomology). Eventually, this line of thinking had lead me to writing my own book, Topology Illustrated. But I still think that Kosniowski's book is the best of its kind.
Jeyn
Nearly perfect introduction to point-set and algebraic topology.

Cons:
1. The new (re-issued red) edition has many new misprints.
2. The mathematical formulas might look better (they are not typed in TeX);
3. Old-fashioned notations: A-B for AB, fg for composition f and g and so on.
Dyni
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.
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