Mapping Degree Theory
nóv. 2009 · American Mathematical Soc.
Rafbók
244
Síður
reportEinkunnir og umsagnir eru ekki staðfestar Nánar
Um þessa rafbók
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 Poincare-Hopf Index Theorem, as well as the proofs of the original formulations by Cauchy, Poincare, 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. The book is suitable for a one-semester graduate course. There are 180 exercises and problems of different scope and difficulty. This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).
Gefa þessari rafbók einkunn.
Segðu okkur hvað þér finnst.
Upplýsingar um lestur
Snjallsímar og spjaldtölvur
Settu upp forritið Google Play Books fyrir Android og iPad/iPhone. Það samstillist sjálfkrafa við reikninginn þinn og gerir þér kleift að lesa með eða án nettengingar hvar sem þú ert.
Fartölvur og tölvur
Hægt er að hlusta á hljóðbækur sem keyptar eru í Google Play í vafranum í tölvunni.
Lesbretti og önnur tæki
Til að lesa af lesbrettum eins og Kobo-lesbrettum þarftu að hlaða niður skrá og flytja hana yfir í tækið þitt. Fylgdu nákvæmum leiðbeiningum hjálparmiðstöðvar til að flytja skrár yfir í studd lesbretti.
