Download e-book for iPad: An Introduction to Algebraic Topology (Dover Books on by Andrew H. Wallace

By Andrew H. Wallace

This self-contained therapy of algebraic topology assumes just some wisdom of genuine numbers and genuine research. the 1st 3 chapters specialise in the fundamentals of point-set topology, providing historical past to scholars drawing close the topic with out past wisdom. Readers already conversant in point-set topology can continue on to bankruptcy four, which examines the elemental workforce in addition to homology teams and non-stop mapping, barycentric subdivision and excision, the homology series, and simplicial complexes.
Exercises shape a vital part of the textual content; they contain theorems which are as important as a few of these whose proofs are given in complete. writer Andrew H. Wallace, Professor Emeritus on the collage of Pennsylvania, concludes the textual content with a advisor to extra reading.

Show description

Read or Download An Introduction to Algebraic Topology (Dover Books on Mathematics) PDF

Similar geometry & topology books

Poncelet Porisms and Beyond: Integrable Billiards, - download pdf or read online

The aim of the ebook is to offer, in an entire and accomplished approach, parts of present examine interlacing round the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. an important effects and ideas, classical in addition to glossy, attached to the Poncelet theorem are provided, including a old assessment studying the classical rules and their traditional generalizations.

Read e-book online Handbook of Geometric Topology PDF

Geometric Topology is a foundational portion of sleek arithmetic, regarding the examine of spacial homes and invariants of everyday gadgets corresponding to manifolds and complexes. This quantity, that's meant either as an creation to the topic and as a panoramic resouce for these already grounded in it, contains 21 expository surveys written via top specialists and masking energetic parts of present study.

Download e-book for iPad: Etale Cohomology Theory(Revised Editio) (Nankai Tracts in by Lei Fu

Etale cohomology is a vital department in mathematics geometry. This booklet covers the most fabrics in SGA 1, SGA four, SGA four 0.5 and SGA five on etale cohomology conception, consisting of first rate conception, etale primary teams, Galois cohomology, etale cohomology, derived different types, base swap theorems, duality, and ℓ-adic cohomology.

Download e-book for kindle: The Universe of Conics: From the ancient Greeks to 21st by Georg Glaeser,Hellmuth Stachel,Boris Odehnal

This article offers the classical conception of conics in a latest shape. It contains many novel effects that aren't simply obtainable in different places. The method combines artificial and analytic ways to derive projective, affine and metrical homes, masking either Euclidean and non-Euclidean geometries.

Extra info for An Introduction to Algebraic Topology (Dover Books on Mathematics)

Sample text

Download PDF sample

An Introduction to Algebraic Topology (Dover Books on Mathematics) by Andrew H. Wallace

by Daniel

Rated 4.81 of 5 – based on 6 votes