Woodward, Lyndon
A First Course in Differential Geometry: Surfaces in Euclidean Space
- ISBN 13:
- 9781108441025
- author:
- Woodward, Lyndon
- format:
- Paperback / softback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 2018
- Pages:
- 272
- Dimensions:
- 24.5 x 18.8 x 1.4 centimetres (0
- Genre:
- Science, Mathematics, Topology
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
A First Course in Differential Geometry Surfaces in Euclidean Space by Lyndon Woodward and John Bolton is an introduction to the study of curved spaces using calculus. This textbook, developed from a popular course at Durham University, provides a thorough understanding of differential geometry, focusing on the beginnings of the subject as studied by Gauss. The book covers key topics such as curves and surfaces in Euclidean space, including Gaussian curvature, geodesics, and the Gauss-Bonnet Theorem. It offers a modern and student-friendly approach to explaining, proving, and applying these concepts. With numerous exercises to test understanding, this textbook is suitable for those looking to expand their knowledge of differential geometry. A supplementary chapter on minimal surfaces concludes the book, providing an extension towards advanced courses or as a source of student projects.
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