Springer Undergraduate Mathematics Series

Elementary Differential Geometry

Authors: Pressley, A.N.

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    • Taking a unique approach to the subject, the book allows the reader to see some amazing results of claissical differential geometry using nothing more than basic calculus
    • The technical definitions are kept simple and there are many examples
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eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4471-3696-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

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, and with trying to answer them using calculus techniques. 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 while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.

The book will provide an invaluable resource to all those taking a first course in differential geometry, for their lecturers, and for all others interested in the subject.

Andrew Pressley is Professor of Mathematics at King’s College London, UK.

The Springer Undergraduate Mathematics Series (SUMS) is a series designed for undergraduates in mathematics and the sciences worldwide. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully worked solutions.

About the authors

Andrew Pressley is Professor of Mathematics at King’s College London, UK.

Reviews

From the 1st edition reviews:
"By the inclusion of 200 exercises with full solutions, this book has become a helpful tool for everyone teaching in its field. Summing up, it is a very good first book on the topic." (Internationale Mathematische Nachrichten, 187, August 2001)

"…Pressley takes the simplest route with respect to all the technical setup: avoid it all. Instead of covariant derivatives, use derivatives with respect to local coordinates. Use moving frames without mentioning connections. Mention the Christoffel symbols very quickly, but don’t do very much with them. For the most part, it works…the book does include several versions of the Gauss-Bonnett theorem, allowing the professor to end the course with a bang. All in all, I was quite happy with the book." (MAA Online)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4471-3696-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Elementary Differential Geometry
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2001
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-3696-5
DOI
10.1007/978-1-4471-3696-5
Series ISSN
1615-2085
Edition Number
1
Number of Pages
IX, 332
Number of Illustrations
74 b/w illustrations
Topics