|
|
libcats.org
From calculus to cohomology: De Rham cohomology and characteristic classesIb H. Madsen, Jxrgen TornehaveDe Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, Chern and Euler classes, Thom isomorphism, and the general Gauss-Bonnet theorem. The text includes over 150 exercises, and gives the background necessary for the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone who wishes to know about cohomology, curvature, and their applications.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Introduction to Functional Programming (Prentice Hall International Series in Computing Science)Автор: Richard Bird, Автор: Philip WadlerКатегория: Математика, Прикладная математика
Размер книги: 4.73 Mb
The Clean Coder: A Code of Conduct for Professional Programmers (Robert C. Martin Series)Автор: Robert C. Martin
Размер книги: 6.06 Mb
Только что пользователи скачали эти книги:
Ferguson Career Resource Guide to Grants, Scholarships, And Other Financial ResourcesАвтор: Ferguson, Автор: Brad Barnett
Размер книги: 3.13 Mb
Introduction to Complex Plasmas (Springer Series on Atomic, Optical, and Plasma Physics)Автор: Michael Bonitz, Автор: Norman Horing, Автор: Patrick LudwigКатегория: Математика, Математическая физика
Размер книги: 8.54 Mb
Fabuleux Ouest canadien - Vivez la passion des grands espaces ! - Deuxieme editionАвтор: Tracey Arial, Автор: Julie Brodeur, Автор: Alexis de Gheldere, Автор: Daniel Desjardins, Автор: CollectifКатегория: Математика
Размер книги: 46.03 Mb
Optimization of Chemical ProcessesАвтор: Thomas F. Edgar, Автор: David. M. HimmelblauКатегория: Химия
Размер книги: 17.20 Mb
Bioinorganic Chemistry (Structure and Bonding, Volume 72)Автор: Fraser A. Armstrong
Размер книги: 12.48 Mb
The CowboyАвтор: Harper Vonna, Автор: Mellor P J, Автор: Donovan NelissaКатегория: fiction
Размер книги: 511 Kb
|
|
|