Elementary Differential Geometry (Record no. 110919)

000 -LEADER
fixed length control field 03603nam a22004455i 4500
001 - CONTROL NUMBER
control field 978-1-84882-891-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084514.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100316s2010 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781848828919
-- 978-1-84882-891-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-84882-891-9
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641-670
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBMP
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012030
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Pressley, Andrew.
Relator term author.
245 10 - TITLE STATEMENT
Title Elementary Differential Geometry
Medium [electronic resource] /
Statement of responsibility, etc by Andrew Pressley.
250 ## - EDITION STATEMENT
Edition statement 2.
264 #1 -
-- London :
-- Springer London,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Extent XI, 395p. 150 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Springer Undergraduate Mathematics Series,
International Standard Serial Number 1615-2085
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Curves in the plane and in space -- How much does a curve curve? -- Global properties of curves -- Surfaces in three dimensions -- Examples of surfaces -- The first fundamental form -- Curvature of surfaces -- Gaussian, mean and principal curvatures -- Geodesics -- Gauss’ Theorema Egregium -- Hyperbolic geometry -- Minimal surfaces -- The Gauss–Bonnet theorem.
520 ## - SUMMARY, ETC.
Summary, etc Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com Praise for the first edition: "The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure." Australian Mathematical Society Gazette "Excellent figures supplement a good account, sprinkled with illustrative examples." Times Higher Education Supplement
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global differential geometry.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Geometry.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781848828902
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Undergraduate Mathematics Series,
-- 1615-2085
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-84882-891-9
912 ## -
-- ZDB-2-SMA

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