The Resource Elementary Differential Geometry, by A.N. Pressley, (electronic resource)

Elementary Differential Geometry, by A.N. Pressley, (electronic resource)

Label
Elementary Differential Geometry
Title
Elementary Differential Geometry
Statement of responsibility
by A.N. Pressley
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Pressley, A.N
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
MAPc6rfLSC0
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Global differential geometry
  • Differential Geometry
Label
Elementary Differential Geometry, by A.N. Pressley, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (468 p.)
Form of item
online
Isbn
9781848828919
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84882-891-9
Specific material designation
remote
System control number
  • (CKB)2510000000006521
  • (EBL)884457
  • (OCoLC)776813370
  • (SSID)ssj0000449365
  • (PQKBManifestationID)11270357
  • (PQKBTitleCode)TC0000449365
  • (PQKBWorkID)10429250
  • (PQKB)10917721
  • (DE-He213)978-1-84882-891-9
  • (MiAaPQ)EBC884457
  • (EXLCZ)992510000000006521
Label
Elementary Differential Geometry, by A.N. Pressley, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (468 p.)
Form of item
online
Isbn
9781848828919
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84882-891-9
Specific material designation
remote
System control number
  • (CKB)2510000000006521
  • (EBL)884457
  • (OCoLC)776813370
  • (SSID)ssj0000449365
  • (PQKBManifestationID)11270357
  • (PQKBTitleCode)TC0000449365
  • (PQKBWorkID)10429250
  • (PQKB)10917721
  • (DE-He213)978-1-84882-891-9
  • (MiAaPQ)EBC884457
  • (EXLCZ)992510000000006521

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