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A Course in Differential Geometry and Lie Groups
 
S. Kumaresan University of Mumbai, India
A publication of Hindustan Book Agency
A Course in Differential Geometry and Lie Groups
Hardcover ISBN:  978-81-85931-29-6
Product Code:  HIN/9
List Price: $48.00
AMS Member Price: $38.40
Please note AMS points can not be used for this product
A Course in Differential Geometry and Lie Groups
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A Course in Differential Geometry and Lie Groups
S. Kumaresan University of Mumbai, India
A publication of Hindustan Book Agency
Hardcover ISBN:  978-81-85931-29-6
Product Code:  HIN/9
List Price: $48.00
AMS Member Price: $38.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 92002; 295 pp
    MSC: Primary 22; 53;

    This book arose out of courses taught by the author. It covers the traditional topics of differential manifolds, tensor fields, Lie groups, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working knowledge of the topic. Motivations are given, exercises are included, and illuminating nontrivial examples are discussed.

    Important features include the following:

    • Geometric and conceptual treatment of differential calculus with a wealth of nontrivial examples.
    • A thorough discussion of the much-used result on the existence, uniqueness, and smooth dependence of solutions of ODEs.
    • Careful introduction of the concept of tangent spaces to a manifold.
    • Early and simultaneous treatment of Lie groups and related concepts.
    • A motivated and highly geometric proof of the Frobenius theorem.
    • A constant reconciliation with the classical treatment and the modern approach.
    • Simple proofs of the hairy-ball theorem and Brouwer's fixed point theorem.
    • Construction of manifolds of constant curvature à la Chern.

    This text would be suitable for use as a graduate-level introduction to basic differential and Riemannian geometry.

    A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

    Readership

    Graduate students, research mathematicians, and physicists interested in topological groups, Lie groups, and differential geometry.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 92002; 295 pp
MSC: Primary 22; 53;

This book arose out of courses taught by the author. It covers the traditional topics of differential manifolds, tensor fields, Lie groups, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working knowledge of the topic. Motivations are given, exercises are included, and illuminating nontrivial examples are discussed.

Important features include the following:

  • Geometric and conceptual treatment of differential calculus with a wealth of nontrivial examples.
  • A thorough discussion of the much-used result on the existence, uniqueness, and smooth dependence of solutions of ODEs.
  • Careful introduction of the concept of tangent spaces to a manifold.
  • Early and simultaneous treatment of Lie groups and related concepts.
  • A motivated and highly geometric proof of the Frobenius theorem.
  • A constant reconciliation with the classical treatment and the modern approach.
  • Simple proofs of the hairy-ball theorem and Brouwer's fixed point theorem.
  • Construction of manifolds of constant curvature à la Chern.

This text would be suitable for use as a graduate-level introduction to basic differential and Riemannian geometry.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students, research mathematicians, and physicists interested in topological groups, Lie groups, and differential geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.