A First Course in Differential Geometry: Surfaces in Euclidean Space

ISBN-13: 9781108441025
ISBN-10: 1108441025
Edition: 1
Author: Woodward, Lyndon, Bolton, John
Publication date: 2018
Publisher: Cambridge University Press
Format: Paperback 272 pages
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Book details

ISBN-13: 9781108441025
ISBN-10: 1108441025
Edition: 1
Author: Woodward, Lyndon, Bolton, John
Publication date: 2018
Publisher: Cambridge University Press
Format: Paperback 272 pages

Summary

Acknowledged authors Woodward, Lyndon, Bolton, John wrote A First Course in Differential Geometry: Surfaces in Euclidean Space comprising 272 pages back in 2018. Textbook and eTextbook are published under ISBN 1108441025 and 9781108441025. Since then A First Course in Differential Geometry: Surfaces in Euclidean Space textbook was available to sell back to BooksRun online for the top buyback price of $ 2.00 or rent at the marketplace.

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 John Bolton (and others). It provides a thorough introduction by focusing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space. While the main topics are the classics of differential geometry - the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem - the treatment is modern and student-friendly, taking direct routes to explain, prove and apply the main results. It includes many exercises to test students' understanding of the material, and ends with a supplementary chapter on minimal surfaces that could be used as an extension towards advanced courses or as a source of student projects.

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