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Introduction to Smooth Manifolds by John M. Lee - Hardcover
1,520.00 EGP

Introduction to Smooth Manifolds by John M. Lee - Hardcover

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1,520.00 EGP 

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Category Type
Mathematics
ISBN
9781441999818
Author
John M. Lee
Publisher
Springer International Publishing AG
Description:

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded sub manifolds, tensors, differential forms, de rham cohomology, vector fields, ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9781441999818
    Item EAN
    2724444986826
    People
    Author
    John M. Lee
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Mathematics
    ISBN
    9781441999818
    Item EAN
    2724444986826
    People
    Author
    John M. Lee
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Hardcover
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed

    This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded sub manifolds, tensors, differential forms, de rham cohomology, vector fields, flows, foliations, lie derivatives, lie groups, lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably sard's theorem and transversality, a proof that infinitesimal lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.

    Product Features:
    • Genre: Mathematics
    • Author: John M. Lee
    • Format: Hardcover
    • Book Language: English
    • Book Origin: United States
    • Publisher: Springer International Publishing AG
    • Publication Year: 2012
    • ISBN: 9781441999818
    • Edition: Second
    • Number of Pages: 724
    • Product Dimensions: 24.4 x 16.5 x 5.0 cm
    • Product Weight: 1180 g
 

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