Can I read An Introduction to Manifolds: Second Edition on EtoBox?

An Introduction to Manifolds: Second Edition by Loring W. Tu is a nonfiction available to read on EtoBox.

What is An Introduction to Manifolds: Second Edition about?

Main subject categories: • Manifolds • Differential manifolds • Differential forms • Global analysisMathematics Subject Classification (2010): 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis • 58Axx General theory of differentiable manifolds • 58A05 Differentiable manifolds, foundations • 58A10 Differential forms in global analysis • 58A12 de Rham theory in global analysisManifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included

Who reads An Introduction to Manifolds: Second Edition?

Author

Loring W. Tu

Publisher

Springer; Springer Science+Business Media, LLC

Published

2011

Language

EN

ISBN

9781441974006

Category

nonfiction

Subjects

Mathematics, Analysis, Stem