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> A First Course in Differential Geometry

A First Course in Differential Geometry Surfaces in Euclidean Space

Authors

Lyndon Woodward, University of Durham, John Bolton, University of Durham
Published 2018

Description

Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativity, and so is an essential tool for astronomers and theoretical physicists. This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years, first by the late L. M. Woodward and later by…

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Key features

  • Explains some of the main classical highlights of the geometry of surfaces (Theorema Egregium, geodesics, Gauss–Bonnet Theorem) using a minimal amount of theory, while presenting some advanced material suitable for self-study at the end
  • Builds up geometric intuition by providing many examples to illustrate definitions and concepts, and drawing analogies with real-life experiences
  • Includes many exercises at the end of each chapter. Students can challenge their understanding of the contents through problem solving, and brief solutions are given to about a third of the exercises

About the book

  • DOI https://doi.org/10.1017/9781108348072
  • Subjects Geometry and Topology,Mathematics
  • Format: Hardback
    • Publication date: 24 January 2019
    • ISBN: 9781108424936
    • Dimensions (mm): 247 x 174 mm
    • Weight: 0.75kg
    • Contains: 135 b/w illus.
    • Page extent: 272 pages
    • Availability: Available
  • Format: Paperback
    • Publication date: 24 January 2019
    • ISBN: 9781108441025
    • Dimensions (mm): 247 x 174 mm
    • Weight: 0.61kg
    • Contains: 135 b/w illus.
    • Page extent: 272 pages
    • Availability: In stock
  • Format: Digital
    • Publication date: 12 December 2018
    • ISBN: 9781108348072

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