Introduction to Differential and Algebraic Topology is popular PDF and ePub book, written by Yu.G. Borisovich in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Differential and Algebraic Topology can be Read Online from any device for your convenience.
Introduction to Differential and Algebraic Topology Book PDF Summary
Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap ter, according to the authors' intention, should acquaint readers with topolo gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately.
Detail Book of Introduction to Differential and Algebraic Topology PDF
- Author : Yu.G. Borisovich
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401719599
- Genre : Mathematics
- Total Page : 500 pages
- Language : English
- PDF File Size : 20,7 Mb
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