HAPPY HOLIDAYS: Get a special discount on Apress Access! Subscribe today >>

Springer Undergraduate Mathematics Series

Essential Topology

Authors: Crossley, Martin D.

Buy this book

eBook $34.99
price for USA
  • ISBN 978-1-84628-194-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-85233-782-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology.

While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research.

With chapters on:

* continuity and topological spaces

* deconstructionist topology

* the Euler number

* homotopy groups including the fundamental group

* simplicial and singular homology, and

* fibre bundles

Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well prepared for it.

Reviews

From the reviews:

"This book presents the most important aspects of modern topology, essential subjects of research in algebraic topology … . The book contains all the key results of basic topology and the focus throughout is on providing interesting examples that clarify the ideas and motivate the student. … this book contains enough material for two-semester courses and offers interesting material for undergraduate-level topology, motivating students for post-graduate study in the field and giving them a solid foundation." (Corina Mohorianu, Zentralblatt MATH, Vol. 1079, 2006)

"This text provides a concise and well-focused introduction to point set and algebraic topology. The main purpose is to quickly move to relevant notions from algebraic topology (homotopy and homology). Throughout the book the author has taken great care to explain topological concepts by well-chosen examples. It is written in a clear and pleasant style and can certainly be recommended as a basis for an introductory course on the subject." (M. Kunzinger, Monatshefte für Mathematik, Vol. 152 (1), 2007)


Table of contents (11 chapters)

Buy this book

eBook $34.99
price for USA
  • ISBN 978-1-84628-194-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-85233-782-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

Services for this book

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Essential Topology
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2005
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-1-84628-194-5
DOI
10.1007/1-84628-194-6
Softcover ISBN
978-1-85233-782-7
Series ISSN
1615-2085
Edition Number
1
Number of Pages
X, 224
Number of Illustrations and Tables
110 b/w illustrations
Topics