An Introduction to Manifolds is popular PDF and ePub book, written by Loring W. Tu in 2010-10-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction to Manifolds can be Read Online from any device for your convenience.
An Introduction to Manifolds Book PDF Summary
Manifolds, 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 in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Detail Book of An Introduction to Manifolds PDF
- Author : Loring W. Tu
- Release : 05 October 2010
- Publisher : Springer Science & Business Media
- ISBN : 9781441974006
- Genre : Mathematics
- Total Page : 426 pages
- Language : English
- PDF File Size : 21,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book An Introduction to Manifolds by Loring W. Tu, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.