MARC details
| 000 -LEADER |
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| fixed length control field |
02399nam a2200289 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260511160158.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260511b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470478049 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
516.36 |
| Item number |
C552 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Chow, Bennett, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Lectures on differential geometry / |
| Statement of responsibility, etc |
Bennett Chow and Yutze Chow. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence, Rhode Island : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxvii, 750 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
245 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Geometry of submanifolds of Euclidean space -- Differential calculus of submanifolds -- Tangent and tensor bundles -- Curvature and local geometry -- Smooth manifolds -- Riemannian manifolds -- Differential forms -- Gauss-Bonnet theorem -- Bundles and connections -- Elliptic and parabolic equations -- Minimal surfaces -- Geometric flows and Ricci flow. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This graduate-level textbook provides a comprehensive and vertically integrated introduction to differential geometry and geometric analysis. Beginning with the classical geometry of submanifolds in Euclidean space, the book develops the foundations of smooth manifolds, Riemannian geometry, differential forms, bundles, connections, and curvature. The authors systematically introduce global geometric methods including the Gauss-Bonnet and Chern-Gauss-Bonnet theorems, comparison geometry, harmonic analysis on manifolds, and geometric topology. A substantial portion of the text is devoted to geometric analysis, including elliptic and parabolic partial differential equations, minimal surfaces, curve shortening flow, and Ricci flow on surfaces. Emphasizing both intuition and rigorous mathematical development, the book connects differential geometry with topology, analysis, and mathematical physics through numerous examples, exercises, and applications. Designed for graduate students and researchers, it serves as both a textbook and a reference work for advanced study in modern differential geometry and geometric analysis. |
| 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 |
Riemannian geometry. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Submanifolds. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Geometric analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Ricci flow. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Chow, Yutze, |
| Relator term |
author. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
