BASIC CONCEPTS OF ALGEBRAIC TOPOLOGY CROOM PDF

It seems that you're in Germany. We have a dedicated site for Germany. This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments.

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Dispatched from the UK in 4 business days When will my order arrive? Sheldon Axler. Stephen Abbott. Serge Lang. Tom M. John Stillwell. Charles Chapman Pugh. Robin Hartshorne. Peter J. Kristopher Tapp. Johannes Buchmann. Joseph Bak. Kenneth Allen Ross. Yiannis N. Mark A. John M. Joseph H. Home Contact us Help Free delivery worldwide. Free delivery worldwide. Bestselling Series. Harry Potter. Popular Features. Home Learning. Basic Concepts of Algebraic Topology.

Description This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course.

This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces.

Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing.

The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level. Product details Format Paperback pages Dimensions x x Illustrations note X, p. Other books in this series. Add to basket. Understanding Analysis Stephen Abbott. Linear Algebra Serge Lang. Mathematics and Its History John Stillwell. Naive Lie Theory John Stillwell. Geometry: Euclid and Beyond Robin Hartshorne.

Introduction to Cryptography Johannes Buchmann. Complex Analysis Joseph Bak. Elementary Analysis Kenneth Allen Ross. Notes on Set Theory Yiannis N. Groups and Symmetry Mark A. Numbers and Geometry John Stillwell. Basic Topology Mark A. Combinatorics and Graph Theory John M.

Table of contents 1 Geometric Complexes and Polyhedra. Set Theory. Point-set Topology. Rating details. Book ratings by Goodreads. Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X. Learn about new offers and get more deals by joining our newsletter. Sign up now. Follow us. Coronavirus delivery updates.

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We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 4 business days When will my order arrive? Sheldon Axler.

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Basic Concepts of Algebraic Topology

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