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Differential Geometry and Lie Groups: A Second Course (Geometry and Computing Book 13) by [Jean Gallier, Jocelyn Quaintance]

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Jean H. Gallier
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Differential Geometry and Lie Groups: A Second Course (Geometry and Computing Book 13) 1st ed. 2020 Edition, Kindle Edition

by Jean Gallier (Author), Jocelyn Quaintance (Author) Format: Kindle Edition
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  1. ISBN-13
    978-3030460464
  2. Edition
    1st ed. 2020
  3. Sticky notes
    Not Enabled
  4. Publisher
    Springer
  5. Publication date
    August 18, 2020
  6. Book 12 of 12
    Geometry and Computing
  7. Language
    English
  8. File size
    11185 KB
  9. See all details
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Editorial Reviews

From the Back Cover

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing.  Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many modern applications.

Beginning with an in-depth study of tensors and differential forms, the authors go on to explore a selection of topics that showcase these tools. An analytic theme unites the early chapters, which cover distributions, integration on manifolds and Lie groups, spherical harmonics, and operators on Riemannian manifolds. An exploration of bundles follows, from definitions to connections and curvature in vector bundles, culminating in a glimpse of Pontrjagin and Chern classes. The final chapter on Clifford algebras and Clifford groups draws the book to an algebraic conclusion, which can be seen as a generalized viewpoint of the quaternions.

Differential Geometry and Lie Groups: A Second Course captures the mathematical theory needed for advanced study in differential geometry with a view to furthering geometry processing capabilities. Suited to classroom use or independent study, the text will appeal to students and professionals alike. A first course in differential geometry is assumed; the authors’ companion volume Differential Geometry and Lie Groups: A Computational Perspective provides the ideal preparation. --This text refers to the hardcover edition.

About the Author

Jean Gallier is Professor of Computer and Information Science at the University of Pennsylvania, Philadelphia. His research interests include geometry and its applications, geometric modeling, and differential geometry. He is also a member of the University of Pennsylvania’s Department of Mathematics, and its Center for Human Modelling and Simulation.

Jocelyn Quaintance is postdoctoral researcher at the University of Pennsylvania who has contributed to the fields of combinatorial identities and power product expansions. Her recent mathematical books investigate the interplay between mathematics and computer science. Covering areas as diverse as differential geometry, linear algebra, optimization theory, and Fourier analysis, her writing illuminates the mathematics behind topics relevant to engineering, computer vision, and robotics. --This text refers to the hardcover edition.

Product details

  • ASIN ‏ : ‎ B08G48L42B
  • Publisher ‏ : ‎ Springer; 1st ed. 2020 edition (August 18, 2020)
  • Publication date ‏ : ‎ August 18, 2020
  • Language ‏ : ‎ English
  • File size ‏ : ‎ 11185 KB
  • Text-to-Speech ‏ : ‎ Not enabled
  • Enhanced typesetting ‏ : ‎ Not Enabled
  • X-Ray ‏ : ‎ Not Enabled
  • Word Wise ‏ : ‎ Not Enabled
  • Sticky notes ‏ : ‎ Not Enabled
  • Print length ‏ : ‎ 634 pages
  • Customer Reviews:
    5.0 out of 5 stars 2 ratings

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Jean H. Gallier

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