Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))


Author: Jean Gallier, Jocelyn Quaintance

Date: 2020

ISBN: 3030460398

Pages: 792

Language: English

Category: Study

Tag: Mathematics


Posted on 2020-07-21, by temrick.

Description



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.

                                               DOWNLOAD

https://nitroflare.com/view/A6624D24BA73D15/3030460398.pdf


Sponsored High Speed Downloads
7488 dl's @ 2077 KB/s
Download Now [Full Version]
9510 dl's @ 2748 KB/s
Download Link 1 - Fast Download
7458 dl's @ 2585 KB/s
Download Mirror - Direct Download



Search More...
Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))

Search free ebooks in ebookee.com!


Links
Download this book

Download links for "Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))":

External Download Link1:


Related Books

  1. Ebooks list page : 44147
  2. 2012-03-14Lectures on Lie Groups and Lie Algebras By Roger W. Carter, Ian G. MacDonald, Graeme B. Segal, M. Taylor
  3. 2011-07-24Sophus Lies 1884: Differential Invariants Paper (Lie Groups: History, Frontiers & Applications Series No. 3)
  4. 2020-02-04Lie Groups, Differential Equations, and Geometry: Advances and Surveys (UNIPA Springer Series)
  5. 2018-01-19[PDF] Differential Geometry and Lie Groups for Physicists
  6. 2017-12-26[PDF] Classical Differential Geometry of Curves and Surfaces (Lie Groups : History, Frontiers and Applications, Vol XV)
  7. 2017-12-12[PDF] Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics) - Removed
  8. 2017-10-13[PDF] Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80 (Pure and Applied Mathematics)
  9. 2017-01-04[PDF] Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80 (Pure and Applied Mathematics)
  10. 2014-01-26Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems - eazydoc.com
  11. 2013-07-06Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (repost)
  12. 2013-05-14Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces
  13. 2013-05-08Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces
  14. 2013-05-07Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces (Repost)
  15. 2013-04-15Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Repost)
  16. 2013-04-08Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems
  17. 2013-04-07Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems
  18. 2013-04-05Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems [Repost]
  19. 2013-03-21Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems
  20. 2012-02-21Differential Geometry and Lie Groups for Physicists - Marián Fecko

Comments

No comments for "Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing (12))".


    Add Your Comments
    1. Download links and password may be in the description section, read description carefully!
    2. Do a search to find mirrors if no download links or dead links.
    Back to Top