MARC details
| 000 -LEADER |
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04467nam a22004695i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-319-91755-9 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210118114613.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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190102s2018 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319917559 |
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978-3-319-91755-9 |
| 024 ## - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-91755-9 |
| Source of number or code |
doi |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA641-670 |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMP |
| Source |
bicssc |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT012030 |
| Source |
bisacsh |
| 072 ## - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMP |
| Source |
thema |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.36 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lee, John M. |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to Riemannian Manifolds |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by John M. Lee. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. 2018. |
| 264 ## - |
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Cham : |
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Springer International Publishing : |
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Imprint: Springer, |
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2018. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XIII, 437 p. 210 illus. |
| Other physical details |
online resource. |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Graduate Texts in Mathematics, |
| International Standard Serial Number |
0072-5285 ; |
| Volume number/sequential designation |
176 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| 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. |
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| 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 |
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| Topical term or geographic name as entry element |
Differential geometry. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential Geometry. |
| -- |
https://scigraph.springernature.com/ontologies/product-market-codes/M21022 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 ## - HOST ITEM ENTRY |
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| Title |
Springer Nature eBook |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9783319917542 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9783319917566 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Graduate Texts in Mathematics, |
| -- |
0072-5285 ; |
| Volume number/sequential designation |
176 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-319-91755-9">https://doi.org/10.1007/978-3-319-91755-9</a> |
| 912 ## - |
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ZDB-2-SMA |
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ZDB-2-SXMS |
