2008;
400 pp;
Hardcover
MSC: Primary 54; 55; 57;
Print ISBN: 978-0-8218-4506-6
Product Code: MBK/54
List Price: $65.00
AMS Member Price: $52.00
MAA Member Price: $58.50
Electronic ISBN: 978-1-4704-1201-2
Product Code: MBK/54.E
List Price: $65.00
AMS Member Price: $52.00
MAA Member Price: $58.50
Supplemental Materials
Elementary Topology: Problem Textbook
Share this pageO. Ya. Viro; O. A. Ivanov; N. Yu. Netsvetaev; V. M. Kharlamov
This textbook on elementary topology contains a detailed introduction to
general topology and an introduction to algebraic topology via its most
classical and elementary segment centered at the notions of fundamental
group and covering space.
The book is tailored for the reader who is determined to work actively.
The proofs of theorems are separated from their formulations and are
gathered at the end of each chapter. This makes the book look like a
pure problem book and encourages the reader to think through each
formulation. A reader who prefers a more traditional style can either
find the proofs at the end of the chapter or skip them altogether. This
style also caters to the expert who needs a handbook and prefers
formulations not overshadowed by proofs. Most of the proofs are simple
and easy to discover.
The book can be useful and enjoyable for readers with quite
different backgrounds and interests. The text is structured in such a
way that it is easy to determine what to expect from each piece and
how to use it. There is core material, which makes up a relatively
small part of the book. The core material is interspersed with
examples, illustrative and training problems, and relevant
discussions.
The reader who has mastered the core material acquires a strong
background in elementary topology and will feel at home in the
environment of abstract mathematics. With almost no prerequisites
(except real numbers), the book can serve as a text for a course on
general and beginning algebraic topology.
Readership
Undergraduate and graduate students interested in topology.
Reviews & Endorsements
With its selection of topics and its interesting, unique format, this book could be very useful as a graduate text for a first course in topology.
-- Mathematical Reviews
Table of Contents
Elementary Topology: Problem Textbook
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents vii8 free
- Introduction xi12 free
- Part 1. General Topology 122 free
- Part 2. Elements of Algebraic Topology 205226
- Hints, Comments, Advices, Solutions, and Answers 317338
- Bibliography 393414
- Index 395416
- Back Cover Back Cover1422