دانلود کتاب Introduction to Topology
by V. A. Vassiliev
|
عنوان فارسی: مقدمه ای بر توپولوژی |
دانلود کتاب
جزییات کتاب
Readership: Graduate students, research mathematicians, and theoretical physicists.
In little over 140 pages, the book goes all the way from the definition of a topological space to homology and cohomology theory, Morse theory, Poincaré theory, and more ... emphasizes intuitive arguments whenever possible ... a broad survey of the field. It is often useful to have an overall picture of a subject before engaging it in detail. For that, this book would be a good choice." -- MAA Online
From a review of the Russian edition ...
"The book is based on a course given by the author in 1996 to first and second year students at Independent Moscow University ... the emphasis is on illustrating what is happening in topology, and the proofs (or their ideas) covered are those which either have important generalizations or are useful in explaining important concepts ... This is an excellent book and one can gain a great deal by reading it. The material, normally requiring several volumes, is covered in 123 pages, allowing the reader to appreciate the interaction between basic concepts of algebraic and differential topology without being buried in minutiae."