An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119) - Image 1

Price loading...

Springer An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)

Name: An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)
Brand: Springer

Geometry & Topology

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g. , most students know very little homological algebra); the second obstacle is that the basic defini tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g. , homology with coeffi cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal discussion describing their origins (e. g. , winding numbers are discussed before computing 1tl (Sl), Green's theorem occurs before defining homology, and differential forms appear before introducing cohomology). We assume that the reader has had a first course in point-set topology, but we do discuss quotient spaces, path connectedness, and function spaces.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 0387966781
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 17 August 1988
Listed Since: 08 February 2007

Barcode

No barcode data available

Springer An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)

Basic Algebraic Topology

Elements of Homotopy Theory: 61 (Graduate Texts in Mathematics, 61)

Differential Forms in Algebraic Topology: 82 (Graduate Texts in Mathematics, 82)

Beginner’s Course in Topology: Geometric Chapters (Universitext)

Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics, 72)

Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics, 72)

Basic Concepts of Algebraic Topology (Undergraduate Texts in Mathematics)

Algebraic Topology: Constructions, Retractions, and Fixed Point Theory (De Gruyter Textbook)

Homology Theory: An Introduction to Algebraic Topology: 145 (Graduate Texts in Mathematics, 145)

Homology Theory: An Introduction to Algebraic Topology: 145 (Graduate Texts in Mathematics, 145)

Topology of Surfaces (Undergraduate Texts in Mathematics)

Elementary Topology: Problem Textbook (Monograph Books)

Algebraic Topology: A Structural Introduction

Elements of Algebraic Topology (Textbooks in Mathematics)

Lectures on Differential Topology (Graduate Studies in Mathematics)

An Illustrated Introduction to Topology and Homotopy

Topology: 153 (UNITEXT, 153)

Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics)

A User’s Guide to Algebraic Topology: 387 (Mathematics and Its Applications, 387)

General Topology (Undergraduate Texts in Mathematics)

Basic Algebraic Topology and its Applications

The Topology of CW Complexes (The university series in higher mathematics)

Basic Homological Algebra: 196 (Graduate Texts in Mathematics, 196)