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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Differential Geometry and Lie Groups
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Differential Geometry and Lie Groups
Jean Gallier, Jocelyn Quaintance (Broschiert, Englisch)
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Beschreibung
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. 64,19 €
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Technische Daten
Erscheinungsdatum
19.08.2021
Sprache
Englisch
EAN
9783030460495
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Geometry and Computing
Sonderedition
Nein
Autor
Jean Gallier, Jocelyn Quaintance
Seitenanzahl
620
Einbandart
Broschiert
Buch Untertitel
A Second Course
Schlagwörter
Differential geometry for computing, Differential geometry for geometry processing, Differential geometry textbook, differential geometry for computer vision, differential geometry for robotics, differential geometry for machine learning, Tensor algebra, Differential forms, Frobenius theorem, Tensor products, Stokes' theorem, Clifford algebras, Clifford groups, Spherical harmonics, Riemannian manifolds, Pinor and Spinor groups, Pin group, Spin group, Vector bundles, Curvature form
Thema-Inhalt
PBMP - Differentielle und Riemannsche Geometrie
PBG - Gruppen und Gruppentheorie
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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