Differential geometry of curves and surfaces [Book] / Manfredo P. do Carmo.

By:

Do Carmo, Manfredo P [author.]

Material type: Text

TextEdition: Revised and Updated Second editionDescription: xvi, 510 pages : illustrations ; 22 cmISBN:

9780486806990 (paperback)
0486806995 (paperback)

Subject(s):

DDC classification:

516.36 23

Other classification:

516.36

Summary: One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	Junaid Zaidi Library, COMSATS University Islamabad Ground Floor	516.36 DOC-D (Browse shelf(Opens below))	Available		10001000060117

Total holds: 0

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Previous	516.36 BUR-A Applied differential geometry	516.36 BUR-D Differential geometry and topology with a view to dynamical systems /	516.36 DE-D Differential geometry of manifolds	516.36 DOC-D Differential geometry of curves and surfaces	516.36 GIB-G Geometry demystified	516.36 GRA-M Modern differential geometry of curves and surfaces with Mathematica.	516.36 KHA-D Differential geometry of manifolds	Next

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume

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