Elementary topics in differential geometry (अभिलेख संख्या 51776)

मार्क जानकारी
000 -LEADER
fixed length control field 02343nam a2200277Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260108121442.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220909b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 8181281446
037 ## - SOURCE OF ACQUISITION
Terms of availability Textbook
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Language of cataloging eng
Transcribing agency CSL
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
084 ## - COLON CLASSIFICATION NUMBER
Classification number B6:3 L9;1 TB
Assigning agency CSL
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Thorpe, John A
9 (RLIN) 863070
245 #0 - TITLE STATEMENT
Title Elementary topics in differential geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York,
Name of publisher, distributor, etc. Springer-Verlag:
Date of publication, distribution, etc. 1979.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 253p.
490 ## - SERIES STATEMENT
Series statement Undergraduate texts in mathematics
500 ## - GENERAL NOTE
General note Bibliography 245p; Index 249-253p
520 ## - SUMMARY, ETC.
Summary, etc. This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. The calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary dicussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text,which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. Table of Contents Chapter 1 Graphs and Level Sets Chapter 2 Vector Fields Chapter 3 The Tangent Space Chapter 4 Surfaces Chapter 5 Vector Fields on Surfaces; Orientation Chapter 6 The Gauss Map Chapter 7 Geodesies Chapter 8 Parallel Transport Chapter 9 The Weingarten Map Chapter 10 Curvature of Plane Curves Chapter 11 Arc Length and Line Integrals Chapter 12 Curvature of Surfaces Chapter 13 Convex Surfaces Chapter 14 Parameterized Surfaces Chapter 15 Local Equivalance of Surfaces and Parameterized Surfaces Chapter 16 Focal Points Chapter 17 Surface Area and Volume Chapter 18 Minimal Surfaces Chapter 19 The Exponential Map Chapter 20 Surfaces with Boundary Chapter 21 The Gauess-Boness Theorem Chapter 22 Regid Motio
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential geometry
9 (RLIN) 863071
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
9 (RLIN) 863072
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Thorpe, John A
9 (RLIN) 863070
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Classification part B6:3 L9;1 TB
Koha item type Textbook
Source of classification or shelving scheme Colon Classification (CC)
Suppress in OPAC No
होल्डिंग्स
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date due Date last seen Date last checked out Price effective from Koha item type
    Colon Classification (CC)     Central Science Library Central Science Library 2022-09-12 352, 24/03/2006, Ashutosh Technical Books 3 B6:3 L9;1 TB SL1378212 2026-01-19 2026-01-12 2026-01-12 2022-09-12 Textbook