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Aspects of differential geometry I / (Record no. 562122)

000 -LEADER
fixed length control field 04527nam a2200769 i 4500
001 - CONTROL NUMBER
control field 7056255
003 - CONTROL NUMBER IDENTIFIER
control field IEEE
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200413152917.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m eo d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn |||m|||a
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 150320s2015 caua foab 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781627056632
Qualifying information ebook
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781627056625
Qualifying information print
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.2200/S00632ED1V01Y201502MAS015
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)swl00404796
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)905421782
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641
Item number .G552 2015
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gilkey, Peter B.,
Relator term author.
245 10 - TITLE STATEMENT
Title Aspects of differential geometry I /
Statement of responsibility, etc. Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) :
Name of producer, publisher, distributor, manufacturer Morgan & Claypool,
Date of production, publication, distribution, manufacture, or copyright notice 2015.
300 ## - PHYSICAL DESCRIPTION
Extent 1 PDF (xiii, 140 pages) :
Other physical details illustrations.
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Synthesis lectures on mathematics and statistics,
International Standard Serial Number 1938-1751 ;
Volume/sequential designation # 15
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat Reader.
500 ## - GENERAL NOTE
General note Part of: Synthesis digital library of engineering and computer science.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 131-133) and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Basic notions and concepts -- 1.1 Metric spaces -- 1.2 Linear algebra -- 1.3 The derivative -- 1.4 The inverse and implicit function theorems -- 1.5 The Riemann integral -- 1.6 Improper integrals -- 1.7 The change of variable theorem --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Manifolds -- 2.1 Smooth manifolds -- 2.2 The tangent and cotangent bundles -- 2.3 Stokes' theorem -- 2.4 Applications of stokes' theorem --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Riemannian and pseudo-Riemannian geometry -- 3.1 The pseudo-Riemannian measure -- 3.2 Connections -- 3.3 The Levi-Civita connection -- 3.4 Geodesics -- 3.5 The Jacobi operator -- 3.6 The Gauss-Bonnet theorem -- 3.7 The Chern-Gauss-Bonnet theorem --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Bibliography -- Authors' biographies -- Index.
506 1# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0# - CITATION/REFERENCES NOTE
Name of source Compendex
510 0# - CITATION/REFERENCES NOTE
Name of source INSPEC
510 0# - CITATION/REFERENCES NOTE
Name of source Google scholar
510 0# - CITATION/REFERENCES NOTE
Name of source Google book search
520 3# - SUMMARY, ETC.
Summary, etc. Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. In Book I, we focus on preliminaries. Chapter 1 provides an introduction to multivariable calculus and treats the Inverse Function Theorem, Implicit Function Theorem, the theory of the Riemann Integral, and the Change of Variable Theorem. Chapter 2 treats smooth manifolds, the tangent and cotangent bundles, and Stokes' Theorem. Chapter 3 is an introduction to Riemannian geometry. The Levi-Civita connection is presented, geodesics introduced, the Jacobi operator is discussed, and the Gauss-Bonnet Theorem is proved. The material is appropriate for an undergraduate course in the subject. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the Chern-Gauss-Bonnet Theorem for pseudo-Riemannian manifolds with boundary is new.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF title page (viewed on March 20, 2015).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry, Differential.
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Change of Variable Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term derivative as best linear approximation
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Fubini's Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Gauss-Bonnet Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Gauss's Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term geodesic
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Green's Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Implicit Function Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term improper integrals
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Inverse Function Theorem
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Levi-Civita connection
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term partitions of unity
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term pseudo-Riemannian geometry
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Riemann integral
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Riemannian geometry
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Stokes' Theorem
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Park, JeongHyeong.,
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Vázquez-Lorenzo, Ramón.,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9781627056625
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Synthesis digital library of engineering and computer science.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Synthesis lectures on mathematics and statistics ;
Volume/sequential designation # 15.
International Standard Serial Number 1938-1751
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Abstract with links to resource
Uniform Resource Identifier http://ieeexplore.ieee.org/servlet/opac?bknumber=7056255
Holdings
Withdrawn status Lost status Damaged status Not for loan Permanent Location Current Location Date acquired Barcode Date last seen Price effective from Koha item type
        PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2020-04-13 EBKE622 2020-04-13 2020-04-13 E books

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