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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Monograph Books |
Release date: |
December 2008 |
Authors: |
O. Ya Viro
• O.A. Ivanov
• N. Yu. Netsvetaev
• V. M. Kharlamov
|
Dimensions: |
262 x 189 x 28mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
400 |
Edition: |
UK ed. |
ISBN-13: |
978-0-8218-4506-6 |
Categories: |
Books
Promotions
|
LSN: |
0-8218-4506-3 |
Barcode: |
9780821845066 |
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