# Elementary Differential Geometry

## A.N. Pressley

3,2 valoración promedio
( 15 valoraciones por Goodreads )

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.

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From the Back Cover:

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

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

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## 1.Elementary Differential Geometry

Editorial: Springer (2000)
ISBN 10: 1852331526 ISBN 13: 9781852331528
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Integrity Books Corp.
(Mayfield Heights, OH, Estados Unidos de America)
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Descripción Springer, 2000. Paperback. Estado de conservación: New. Brand New. Ships within 24 hours with tracking. 100% Money-Back Guarantee. Always packed with care. Nº de ref. de la librería mon0000007560

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## 2.Elementary Differential Geometry

Editorial: Springer (2000)
ISBN 10: 1852331526 ISBN 13: 9781852331528
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Descripción Springer, 2000. Paperback. Estado de conservación: New. FAST SHIPPING & FREE TRACKING! 100% Money Back Guaranteed. The pages of this book are clean and unmarked. There is very little shelf wear. The spine is solid and the binding is tight. Nº de ref. de la librería 133914

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## 3.Elementary Differential Geometry

ISBN 10: 1852331526 ISBN 13: 9781852331528
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Descripción Paperback. Estado de conservación: BRAND NEW. NEW Book in Mint Condition -- Great DEAL !! Fast Shipping -- Friendly Customer Service -- Buy with Confidence!. Nº de ref. de la librería RP1852331526BN

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## 4.Elementary Differential Geometry

Editorial: Springer (2000)
ISBN 10: 1852331526 ISBN 13: 9781852331528
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Irish Booksellers
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Descripción Springer, 2000. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M1852331526

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## 5.Elementary Differential Geometry

Editorial: Springer (2000)
ISBN 10: 1852331526 ISBN 13: 9781852331528
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Descripción Springer, 2000. Paperback. Estado de conservación: New. Corrected. This item is printed on demand. Nº de ref. de la librería DADAX1852331526

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## 6.Elementary Differential Geometry

Editorial: Springer (2000)
ISBN 10: 1852331526 ISBN 13: 9781852331528
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Descripción Springer, 2000. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P111852331526

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## 7.Elementary Differential Geometry

Editorial: Springer
ISBN 10: 1852331526 ISBN 13: 9781852331528