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Differential geometry and lie groups : (Record no. 36730)

MARC details
000 -LEADER
fixed length control field	03375 a2200361 4500
003 - CONTROL NUMBER IDENTIFIER
control field	NISER
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20260109104603.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	260109b \|\|\|\|\|\|\|\| \|\|\|\| 00\| 0 hin d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783030460426
Qualifying information	Paperback
040 ## - CATALOGING SOURCE
Original cataloging agency	NISER LIBRARY
Language of cataloging	eng
Transcribing agency	NISER LIBRARY
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	514.747
Item number	GAL-D
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Gallier, Jean
245 10 - TITLE STATEMENT
Title	Differential geometry and lie groups :
Remainder of title	a computational perspective
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	Cham, Switzerland :
Name of publisher, distributor, etc.	Springer,
Date of publication, distribution, etc.	2020.
300 ## - PHYSICAL DESCRIPTION
Extent	xv, 777 pages :
Other physical details	illustrations (1 b/w illustrations, 32 illustrations in colour) ;
Dimensions	23 cm.
490 ## - SERIES STATEMENT
Series statement	Geometry and computing ;
Volume/sequential designation	volume 12.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc	Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc.	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.<br/><br/>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.<br/><br/>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.<br/><br/>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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Geometry
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Geometry, Differential
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Lie groups
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differential geometry for computing
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differential geometry for machine learning
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Homogeneous spaces
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Lorentz groups
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Riemannian manifold
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Riemannian manifold curvature
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Grassmannian manifold
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Quaintance, Jocelyn
856 41 - ELECTRONIC LOCATION AND ACCESS
Materials specified	Table of contents
Uniform Resource Identifier	<a href="https://link.springer.com/content/pdf/bfm:978-3-030-46040-2/1">https://link.springer.com/content/pdf/bfm:978-3-030-46040-2/1</a>
856 41 - ELECTRONIC LOCATION AND ACCESS
Materials specified	Reviews
Uniform Resource Identifier	<a href="https://www.goodreads.com/book/show/54696262-differential-geometry-and-lie-groups?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/54696262-differential-geometry-and-lie-groups?ref=nav_sb_ss_1_13#CommunityReviews</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	Book
Source of classification or shelving scheme	Universal Decimal Classification

Holdings
Withdrawn status	Lost status	Source of classification or shelving scheme	Damaged status	Not for loan	Home library	Current library	Date acquired	Source of acquisition	Cost, normal purchase price	Total Checkouts	Full call number	Barcode	Date last seen	Cost, replacement price	Price effective from	Koha item type
		Universal Decimal Classification			NISER LIBRARY	NISER LIBRARY	08/01/2026	30	4365.52		514.747 GAL-D	26327	08/01/2026	5820.69	08/01/2026	Book