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Differential Geometry of Curves and Surfaces : Revised and Updated Second Edition  무료배송

 
지은이 : Manfredo P. do Carmo
출판사 : Dover
판수 : 2nd
페이지수 : 528
ISBN : 9780486806990
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 39,000원 ( 무료배송 )
적립금 : 1,170 Point
     

 
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.

Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1976 edition.

Manfredo P. do Carmo is a Brazilian mathematician and authority in the very active field of differential geometry. He is an emeritus researcher at Rio's National Institute for Pure and Applied Mathematics and the author of Differential Forms and Applications.

Preface
Some Remarks on Using this Book
1. Curves
2. Regular Surfaces
3. The Geometry of the Gauss Map
4. The Intrinsic Geometry of Surfaces
5. Global Differential Geometry
Bibliography and Comments
Hints and Answers to Some Exercises
Index

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