Fundamental Groups and Covering Spaces

Author:   Elon Lages Lima
Publisher:   Taylor & Francis Inc
ISBN:  

9781568811314


Pages:   214
Publication Date:   22 July 2003
Format:   Hardback
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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Fundamental Groups and Covering Spaces


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Full Product Details

Author:   Elon Lages Lima
Publisher:   Taylor & Francis Inc
Imprint:   A K Peters
Weight:   0.453kg
ISBN:  

9781568811314


ISBN 10:   1568811314
Pages:   214
Publication Date:   22 July 2003
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Part I: Fundamental Groups 1. Homotopy 2. The Fundamental Group 3. Some Examples and Applications 4. Classical Matrix Groups 5. The Winding Number Part II: Covering Spaces 6. Covering Spaces 7. Covering Maps and Fundamental Groups 8. Oriented Double Covering

Reviews

A welcome addition to the library of basic topology. - J. McCleary, Vassar College -J. McCleary, Vassar College, CHOICE Magazine, March 2004 In addition to the lucid writing... and plentiful exercises, another nice feature of Lima's book is a number of references to the history of the ideas which he is presenting. -Darren Glass, MAA Online , March 2004 This is a book that all libraries should have, not because it is encyclopedic, but because it introduces the student to a variety of accessible applications and insights too quickly skimmed over in standard texts. -Iain Aitchison, Australian Mathematical Society , November 2005 Here is an excellent self-contained introduction to fundamental groups and covering spaces. It assumes only a few basic notions from topology ... Though the book has a definite textbook feel to it, it provides an absorbing read for anyone interested in an introduction to algebraic topology. The text is interspersed with over 70 illustrative examples and over 50 well-drawn explanatory pictures. Overall, the book is clearly written and has a good flow to it and succeeds admirably in the task it set itself. -Philip Maynard, The Mathematical Gazette , July 2004


A welcome addition to the library of basic topology. - J. McCleary, Vassar College -J. McCleary, Vassar College, CHOICE Magazine, March 2004 In addition to the lucid writing... and plentiful exercises, another nice feature of Lima's book is a number of references to the history of the ideas which he is presenting. -Darren Glass, MAA Online , March 2004 This is a book that all libraries should have, not because it is encyclopedic, but because it introduces the student to a variety of accessible applications and insights too quickly skimmed over in standard texts. -Iain Aitchison, Australian Mathematical Society , November 2005 Here is an excellent self-contained introduction to fundamental groups and covering spaces. It assumes only a few basic notions from topology ... Though the book has a definite textbook feel to it, it provides an absorbing read for anyone interested in an introduction to algebraic topology. The text is interspersed with over 70 illustrative examples and over 50 well-drawn explanatory pictures. Overall, the book is clearly written and has a good flow to it and succeeds admirably in the task it set itself. -Philip Maynard, The Mathematical Gazette , July 2004


A welcome addition to the library of basic topology. - J. McCleary, Vassar College -J. McCleary, Vassar College, CHOICE Magazine, March 2004 In addition to the lucid writing... and plentiful exercises, another nice feature of Lima's book is a number of references to the history of the ideas which he is presenting. -Darren Glass, MAA Online , March 2004 This is a book that all libraries should have, not because it is encyclopedic, but because it introduces the student to a variety of accessible applications and insights too quickly skimmed over in standard texts. -Iain Aitchison, Australian Mathematical Society , November 2005 Here is an excellent self-contained introduction to fundamental groups and covering spaces. It assumes only a few basic notions from topology . . . Though the book has a definite textbook feel to it, it provides an absorbing read for anyone interested in an introduction to algebraic topology. The text is interspersed with over 70 illustrative examples and over 50 well-drawn explanatory pictures. Overall, the book is clearly written and has a good flow to it and succeeds admirably in the task it set itself. -Philip Maynard, The Mathematical Gazette , July 2004


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Lima, Elon Lages

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