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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Differential Geometry and Lie Groups
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Differential Geometry and Lie Groups
Jean Gallier, Jocelyn Quaintance (Gebundene Ausgabe, Englisch)
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Beschreibung
This textbook set offers both an introduction to differential geometry designed for readers interested in modern geometry processing, as well as an exploration of more advanced topics. In the first volume, the authors work from basic undergraduate prerequisites to develop manifold theory and Lie groups from scratch; fundamental topics in Riemannian geometry follow, culminating in the theory that… underpins manifold optimization techniques. Students and professionals working in computer vision, robotics, and machine learning will appreciate this pathway into the mathematical concepts behind many modern applications. The second volume then uses analytic and algebraic perspectives to 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.
The first volume,
Differential Geometry and Lie Groups: A Computational Perspective
, offers a uniquely accessible perspective on differential geometry for those interested in the theory behind modern computing applications. Equally suited to classroom use or independent study, the text will appeal to students and professionals alike; only a background in calculus and linear algebra is assumed.
Volume two,
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. As with the first, this volume is suitable for both classroom use and independent study. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
27.09.2022
Sprache
Englisch
EAN
9783031206290
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Jean Gallier, Jocelyn Quaintance
Seitenanzahl
1397
Auflage
1
Einbandart
Unbekannter Einband
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, Homogeneous spaces, Matrix lie groups, Matrix exponential, Adjoint representation, Linear lie groups, Grassmannian manifold, Stiefel manifold, Lie algebras for computing, Lie brackets, Lorentz groups, Riemann manifold, Riemannian manifold curvature, Theory of manifold optimization techniques, Construction of manifolds from gluing data
Thema-Inhalt
PBMP - Differentielle und Riemannsche Geometrie
PBG - Gruppen und Gruppentheorie
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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