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Mapping Degree Theory Enrique Outerelo Jess M Ruiz

Name: Mapping Degree Theory Enrique Outerelo Jess M Ruiz
SKU: BELL-36901712
Price: 31.00 USD
Availability: InStock
Rating: 4.8 (64 reviews)

SKU: BELL-36901712

$ 31.00 ~~$ 45.00~~ (-31%)

4.8

64 reviews

Mapping Degree Theory Enrique Outerelo Jess M Ruiz instant download after payment.

Publisher: AMS

File Extension: PDF

File size: 9.67 MB

Pages: 244

Author: Enrique Outerelo; Jesús M. Ruiz

ISBN: 9781470411718, 1470411717

Language: English

Year: 2009

Product desciption

Mapping Degree Theory Enrique Outerelo Jess M Ruiz by Enrique Outerelo; Jesús M. Ruiz 9781470411718, 1470411717 instant download after payment.

This textbook treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. After a historical first chapter, the remaining four chapters develop the mathematics. An effort is made to use only elementary methods, resulting in a self-contained presentation. Even so, the book arrives at some truly outstanding theorems: the classification of homotopy classes for spheres and the Poincaré-Hopf Index Theorem, as well as the proofs of the original formulations by Cauchy, Poincaré, and others.
Although the mapping degree theory you will discover in this book is a classical subject, the treatment is refreshing for its simple and direct style. The straightforward exposition is accented by the appearance of several uncommon topics: tubular neighborhoods without metrics, differences between class 1 and class 2 mappings, Jordan Separation with neither compactness nor cohomology, explicit constructions of homotopy classes of spheres, and the direct computation of the Hopf invariant of the first Hopf fibration.