Date and Time

Introduction to Riemannian Manifolds (Record no. 9356)

000 -LEADER
fixed length control field 04467nam a22004695i 4500
001 - CONTROL NUMBER
control field 978-3-319-91755-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118114613.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190102s2018 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319917559
-- 978-3-319-91755-9
024 ## - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-91755-9
Source of number or code doi
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641-670
072 ## - SUBJECT CATEGORY CODE
Subject category code PBMP
Source bicssc
072 ## - SUBJECT CATEGORY CODE
Subject category code MAT012030
Source bisacsh
072 ## - SUBJECT CATEGORY CODE
Subject category code PBMP
Source thema
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Lee, John M.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 ## - TITLE STATEMENT
Title Introduction to Riemannian Manifolds
Medium [electronic resource] /
Statement of responsibility, etc by John M. Lee.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2018.
264 ## -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2018.
300 ## - PHYSICAL DESCRIPTION
Extent XIII, 437 p. 210 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 ## - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume number/sequential designation 176
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 1. What Is Curvature? -- 2. Riemannian Metrics -- 3. Model Riemannian Manifolds -- 4. Connections -- 5. The Levi-Cevita Connection -- 6. Geodesics and Distance -- 7. Curvature -- 8. Riemannian Submanifolds -- 9. The Gauss–Bonnet Theorem -- 10. Jacobi Fields -- 11. Comparison Theory -- 12. Curvature and Topology -- Appendix A: Review of Smooth Manifolds -- Appendix B: Review of Tensors -- Appendix C: Review of Lie Groups -- References -- Notation Index -- Subject Index.
520 ## - SUMMARY, ETC.
Summary, etc This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction to Curvature. Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannian metrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights. Reviews of the first edition: Arguments and proofs are written down precisely and clearly. The expertise of the author is reflected in many valuable comments and remarks on the recent developments of the subjects. Serious readers would have the challenges of solving the exercises and problems. The book is probably one of the most easily accessible introductions to Riemannian geometry. (M.C. Leung, MathReview) The book’s aim is to develop tools and intuition for studying the central unifying theme in Riemannian geometry, which is the notion of curvature and its relation with topology. The main ideas of the subject, motivated as in the original papers, are introduced here in an intuitive and accessible way…The book is an excellent introduction designed for a one-semester graduate course, containing exercises and problems which encourage students to practice working with the new notions and develop skills for later use. By citing suitable references for detailed study, the reader is stimulated to inquire into further research. (C.-L. Bejan, zBMATH).
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential geometry.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Geometry.
-- https://scigraph.springernature.com/ontologies/product-market-codes/M21022
710 ## - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 ## - HOST ITEM ENTRY
Title Springer Nature eBook
776 ## - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319917542
776 ## - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319917566
830 ## - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
-- 0072-5285 ;
Volume number/sequential designation 176
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/978-3-319-91755-9
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912 ## -
-- ZDB-2-SXMS
Holdings
Koha item type Withdrawn status Lost status Date last seen Price effective from Permanent Location Current Location Date acquired Damaged status Not for loan
E-Books  2021-01-182021-01-18Central Library, IISER BhopalCentral Library, IISER Bhopal2021-01-18  



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