Balıkesir Üniversitesi
Kütüphane ve Dokümantasyon Daire Başkanlığı

Riemannian manifolds : (Kayıt no. 16829)

MARC ayrıntıları
000 -LEADER
fixed length control field 02894nam a2200361 i 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 970417s1997 nyua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 97014537
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 038798271X
Qualifying information hardcover : acid-free paper
International Standard Book Number 9780387982717
Qualifying information hardcover : acid-free paper
International Standard Book Number 0387983228
Qualifying information softcover : acid-free paper
International Standard Book Number 9780387983226
Qualifying information softcover : acid-free paper
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Transcribing agency DLC
Modifying agency OHX
-- UBA
-- MUQ
-- BAKER
-- NLGGC
-- BTCTA
-- YDXCP
-- OCLCG
-- UAB
-- ZWZ
-- DEBSZ
-- BDX
-- OCLCO
-- OCLCF
-- BAUN
Description conventions rda
049 ## - LOCAL HOLDINGS (OCLC)
Holding library BAUN_MERKEZ
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA649
Item number .L397 1997
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lee, John M.,
Dates associated with a name 1950-
245 10 - TITLE STATEMENT
Title Riemannian manifolds :
Remainder of title an introduction to curvature /
Statement of responsibility, etc John M. Lee.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York :
Name of producer, publisher, distributor, manufacturer Springer,
Date of production, publication, distribution, manufacture, or copyright notice [1997]
Date of production, publication, distribution, manufacture, or copyright notice ©1997
300 ## - PHYSICAL DESCRIPTION
Extent xv, 224 pages :
Other physical details illustrations ;
Dimensions 24 cm.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term unmediated
Media Type Code unmediated
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term volume
Carrier Type Code volume
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Graduate texts in mathematics ;
Volume number/sequential designation 176
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages [209]-211) and index.
505 00 - FORMATTED CONTENTS NOTE
Title 1. What Is Curvature?
-- -- 2. Review of Tensors, Manifolds, and Vector Bundles
-- -- 3. Definitions and Examples of Riemannian Metrics
-- -- 4. Connections
-- -- 5. Riemannian Geodesics
-- -- 6. Geodesics and Distance
-- -- 7. Curvature
-- -- 8. Riemannian Submanifolds
-- -- 9. The Gauss-Bonnet Theorem
-- -- 10. Jacobi Fields
-- -- 11. Curvature and Topology.
520 ## - SUMMARY, ETC.
Summary, etc This text is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced study of Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the curvature tensor as a way of measuring whether a Riemannian manifold is locally equivalent to Euclidean space. Submanifold theory is developed next in order to give the curvature tensor a concrete quantitative interpretation. The remainder of the text is devoted to proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and the characterization of manifolds of constant curvature.
Summary, etc This unique volume will appeal especially to students by presenting a selective introduction to the main ideas of the subject in an easily accessible way. The material is ideal for a single course, but broad enough to provide students with a firm foundation from which to pursue research or develop applications in Riemannian geometry and other fields that use its tools.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Riemannian manifolds.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
9 (RLIN) 19347
Uniform title Graduate texts in mathematics ;
Volume number/sequential designation 176.
900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA]
Personal Name 19989
Numeration Satın
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Kitap
Mevcut
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification     Non-fiction Mehmet Akif Ersoy Merkez Kütüphanesi Mehmet Akif Ersoy Merkez Kütüphanesi Genel Koleksiyon 29/11/2007 Satın Alma 38.38 255.07.02.01.06- QA649 .L397 1997 019989 22/12/2015 11/01/2015 Kitap
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