Try again. For details, please see the Terms & Conditions associated with these promotions. 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. Topics that follow include submersions, curvature on Lie groups, and the Log-Euclidean framework. Readers looking to continue on to more advanced topics will appreciate the authors’ companion volume Differential Geometry and Lie Groups: A Second Course. $$\circledast $$, Basic Analysis: Review of Series and Derivatives, Riemannian Metrics and Riemannian Manifolds, Isometries, Local Isometries, Riemannian Coverings and Submersions, and Killing Vector Fields, Lie Groups, Lie Algebras, and the Exponential Map, The Derivative of CYBER DEAL: 50% off all Springer eBooks | Get this offer! 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. 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. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. 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. Jean Gallier is Professor of Computer and Information Science at … 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. The final chapter highlights naturally reductive homogeneous manifolds and symmetric spaces, revealing the machinery needed to generalize important optimization techniques to Riemannian manifolds. This item has a maximum order quantity limit. 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. (pdf) Back to Gallier's books (complete list) Back to Gallier Homepage. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. Prime members enjoy fast & free shipping, unlimited streaming of movies and TV shows with Prime Video and many more exclusive benefits. Topics that follow include submersions, curvature on Lie groups, and the Log-Euclidean framework. After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. Sorry, there was a problem saving your cookie preferences. Fast and free shipping free returns cash on delivery available on eligible purchase. 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. JavaScript is currently disabled, this site works much better if you Differential Geometry and Lie Groups: A Computational Perspective (Geometry and Computing Book 12), Due to its large file size, this book may take longer to download, Springer; 1st ed. 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. Differential Geometry and Lie Groups A Second Course. His research interests include geometry and its applications, geometric modeling, and differential geometry. 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. Working from basic undergraduate prerequisites, the authors develop manifold theory and Lie groups from scratch; fundamental topics in Riemannian geometry follow, culminating … Gallier, Jean, Quaintance, Jocelyn.