Elementary Differential Geometry (Springer Undergraduate Mathematics Series)

A.N. Pressley

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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

"synopsis" may belong to another edition of this title.

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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Book Description Springer London Ltd, United Kingdom, 2010. Paperback. Book Condition: New. 2nd ed. 2010. 229 x 155 mm. Language: English . Brand New Book. 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. Bookseller Inventory # SPR9781848828902

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Book Description Springer London Ltd, United Kingdom, 2010. Paperback. Book Condition: New. 2nd ed. 2010. 229 x 155 mm. Language: English . Brand New Book. 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. Bookseller Inventory # SPR9781848828902

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Book Description Springer. Book Condition: New. 2010. 2nd ed. 2010. Paperback. This revised and expanded second edition presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are minimized and the most direct and straightforward approach is used throughout. Series: Springer Undergraduate Mathematics Series. Num Pages: 474 pages, 150 black & white illustrations, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 155 x 27. Weight in Grams: 732. . . . . . Books ship from the US and Ireland. Bookseller Inventory # V9781848828902

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Book Description Springer, 2010. Book Condition: New. 2010. 2nd ed. 2010. Paperback. This revised and expanded second edition presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are minimized and the most direct and straightforward approach is used throughout. Series: Springer Undergraduate Mathematics Series. Num Pages: 474 pages, 150 black & white illustrations, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 155 x 27. Weight in Grams: 732. . . . . . . Bookseller Inventory # V9781848828902

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Book Description Springer Verlag, 2010. Paperback. Book Condition: Brand New. 2nd edition. 473 pages. 9.25x6.25x1.25 inches. In Stock. Bookseller Inventory # __184882890X