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Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing, 12) - Hardcover
- PublisherSpringer
- Publication date2020
- ISBN 10 3030460398
- ISBN 13 9783030460396
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages792
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Differential Geometry and Lie Groups
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Differential Geometry and Lie Groups
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Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))
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Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))
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Differential Geometry and Lie Groups: A Computational Perspective
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Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))
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Differential Geometry and Lie Groups
Published by
Springer Nature Switzerland AG, 2020
ISBN 10: 3030460398
ISBN 13: 9783030460396
New
Hardcover
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Differential Geometry and Lie Groups
Published by
Springer International Publishing Aug 2020, 2020
ISBN 10: 3030460398
ISBN 13: 9783030460396
New
Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing. Working from basic undergraduate prerequisites, the authors 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.Starting with the matrix exponential, the text begins with an introduction to Lie groups and group actions. Manifolds, tangent spaces, and cotangent spaces follow; a chapter on the construction of manifolds from gluing data is particularly relevant to the reconstruction of surfaces from 3D meshes. Vector fields and basic point-set topology bridge into the second part of the book, which focuses on Riemannian geometry.Chapters on Riemannian manifolds encompass Riemannian metrics, geodesics, and curvature. Topics that follow include submersions, curvature on Lie groups, and the Log-Euclidean framework. The final chapter highlights naturally reductive homogeneous manifolds and symmetric spaces, revealing the machinery needed to generalize important optimization techniques to Riemannian manifolds. Exercises are included throughout, along with optional sections that delve into more theoretical topics.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. Readers looking to continue on to more advanced topics will appreciate the authors' companion volume Differential Geometry and Lie Groups: A Second Course. 796 pp. Englisch. Seller Inventory # 9783030460396
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Differential Geometry and Lie Groups : A Computational Perspective
Published by
Springer International Publishing, Springer International Publishing, 2020
ISBN 10: 3030460398
ISBN 13: 9783030460396
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing. Working from basic undergraduate prerequisites, the authors 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.Starting with the matrix exponential, the text begins with an introduction to Lie groups and group actions. Manifolds, tangent spaces, and cotangent spaces follow; a chapter on the construction of manifolds from gluing data is particularly relevant to the reconstruction of surfaces from 3D meshes. Vector fields and basic point-set topology bridge into the second part of the book, which focuses on Riemannian geometry.Chapters on Riemannian manifolds encompass Riemannian metrics, geodesics, and curvature. Topics that follow include submersions, curvature on Lie groups, and the Log-Euclidean framework. The final chapter highlights naturally reductive homogeneous manifolds and symmetric spaces, revealing the machinery needed to generalize important optimization techniques to Riemannian manifolds. Exercises are included throughout, along with optional sections that delve into more theoretical topics.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. Readers looking to continue on to more advanced topics will appreciate the authors' companion volume Differential Geometry and Lie Groups: A Second Course. Seller Inventory # 9783030460396
Quantity: 1 available
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Differential Geometry and Lie Groups
Published by
Springer International Publishing, 2020
ISBN 10: 3030460398
ISBN 13: 9783030460396
New
Hardcover
Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Illuminates the mathematical theory behind modern geometry processingOffers a uniquely accessible entry-point that is suitable for students and professionals alikeBuilds the mathematical theory behind modern applications in medical imaging, . Seller Inventory # 387385490
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