gentle introduction to the subject, leading the reader to
understand the notion of what is important in topology with regard
to geometry. Divided into three sections - The line and the plane,
Metric spaces and Topological spaces -, the book eases the move
into higher levels of abstraction. Students are thereby informally
assisted in learning new ideas while remaining on familiar
territory. The authors do not assume previous knowledge of
axiomatic approach or set theory. Similarly, they have restricted
the mathematical vocabulary in the book so as to avoid overwhelming
the reader, and the concept of convergence is employed to allow
students to focus on a central theme while moving to a natural
understanding of the notion of topology. The pace of the book is
relaxed with gradual acceleration: the first nine sections form a
balanced course in metric spaces for undergraduates while also
containing ample material for a two-semester graduate course.
Finally, the book illustrates the many connections between topology
and other subjects, such as analysis and set theory, via the
inclusion of "Extras" at the end of each chapter presenting a brief
foray outside topology.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Undergraduate Texts in Mathematics |
Release date: |
March 2013 |
First published: |
1997 |
Authors: |
Gerard Buskes
• Arnoud Van Rooij
|
Dimensions: |
235 x 155 x 17mm (L x W x T) |
Format: |
Paperback
|
Pages: |
313 |
Edition: |
Softcover reprint of the original 1st ed. 1997 |
ISBN-13: |
978-1-4612-6862-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
|
LSN: |
1-4612-6862-1 |
Barcode: |
9781461268628 |
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