Differential geometry of curves and surfaces (Record no. 36732)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02946 a2200313 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260215094148.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260213b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789811517389 |
| 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 | 514.75 |
| Item number | KOB-D |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kobayashi, Shoshichi |
| 245 10 - TITLE STATEMENT | |
| Title | Differential geometry of curves and surfaces |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Singapore : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xii, 192 pages : |
| Other physical details | illustrations ; |
| Dimensions | 23 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Springer undergraduate mathematics series ; |
| International Standard Serial Number | 1615-2085 |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometry of Surfaces; 4. Gauss–Bonnet Theorem; and 5. Minimal Surfaces. Chapter 1 discusses local and global properties of planar curves and curves in space. Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. Two types of curvatures—the Gaussian curvature K and the mean curvature H —are introduced. The method of the moving frames, a standard technique in differential geometry, is introduced in the context of a surface in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed. The concept of a geodesic introduced in Chapter 2 is extensively discussed, and several examples of geodesics are presented with illustrations. Chapter 4 starts with a simple and elegant proof of Stokes’ theorem for a domain. Then the Gauss–Bonnet theorem, the major topic of this book, is discussed at great length. The theorem is a most beautiful and deep result in differential geometry. It yields a relation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number χ(S). Here again, many illustrations are provided to facilitate the reader’s understanding. Chapter 5, Minimal Surfaces, requires some elementary knowledge of complex analysis. However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2. . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curves on surfaces |
| 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 | Geometry |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Gauss--Bonnet's theorem |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemannian metric |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shinozaki Nagumo, Eriko |
| Relator term | translator |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sumi Tanaka, Makiko |
| Relator term | translator |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of content |
| Uniform Resource Identifier | <a href="https://link.springer.com/content/pdf/bfm:978-981-15-1739-6/1">https://link.springer.com/content/pdf/bfm:978-981-15-1739-6/1</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/48705629-differential-geometry-of-curves-and-surfaces#CommunityReviews">https://www.goodreads.com/book/show/48705629-differential-geometry-of-curves-and-surfaces#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Book |
| Source of classification or shelving scheme | Universal Decimal Classification |
| 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 | 12/02/2026 | 30 | 3305.77 | 514.75 KOB-D | 26487 | 12/02/2026 | 4407.70 | 12/02/2026 | Book |
