DIFFERENTIAL GEOMETRY AND LIE GROUPS
4,880.00₹ 7,041.00₹
- Author: JEAN GALLIER
- ISBN: 9783030460464
- Availability: In Stock
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ABOUT THE BOOK
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.
TABLE OF CONTENTS
Back Matter