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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Thomas Banchoff; Stephen Lovett |

ISBN: | 9781568814568 1568814569 |

OCLC Number: | 473119150 |

Description: | xvi, 331 pages : illustrations ; 25 cm |

Contents: | 1. Plane curves: local properties -- 2. Plane curves: global properties -- 3. Curves in space: local properties -- 4. Curves in space: global properties -- 5. Regular surfaces -- 6. The first and second fundamental forms -- 7. The fundamental equations of surfaces -- 8. Curves on surfaces. |

Responsibility: | Thomas Banchoff, Stephen Lovett. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

... a complete guide for the study of classical theory of curves and surfaces and is intended as a textbook for a one-semester course for undergraduates ... The main advantages of the book are the careful introduction of the concepts, the good choice of the exercises, and the interactive computer graphics, which make the text well-suited for self-study. ...The access to online computer graphics applets that illustrate many concepts and theorems presented in the text provides the readers with an interesting and visually stimulating study of classical differential geometry. ... I strongly recommend [this book and Differential Geometry of Manifolds] to anyone wishing to enter into the beautiful world of the differential geometry.-Velichka Milousheva, Journal of Geometry and Symmetry in Physics, 2012Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book ... Some of the more interesting theorems explore relationships between local and global properties. A special feature is the availability of accompanying online interactive java applets coordinated with each section. The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena.-L'Enseignement Mathematique (2) 57 (2011)... an intuitive and visual introduction to the subject is beneficial in an undergraduate course. This attitude is reflected in the text. The authors spent quite some time on motivating particular concepts and discuss simple but instructive examples. At the same time, they do not neglect rigour and precision. ... As a distinguishing feature to other textbooks, there is an accompanying web page containing numerous interactive Java applets. ... The applets are well-suited for use in classroom teaching or as an aid to self-study.-Hans-Peter Schroecker, Zentralblatt MATH 1200Coming from intuitive considerations to precise definitions the authors have written a very readable book. Every section contains many examples, problems and figures visualizing geometric properties. The understanding of geometric phenomena is supported by a number of available Java applets. This special feature distinguishes the textbook from others and makes it recommendable for self studies too. ... highly recommendable ...-F. Manhart, International Mathematical News, August 2011... the authors succeeded in making this modern view of differential geometry of curves and surfaces an approachable subject for advanced undergraduates.-Andrew Bucki, Mathematical Reviews, Issue 2011h... an essential addition to academic library Mathematical Studies instructional reference collections, as well as an ideal classroom textbook.-Midwest Book Review, May 2011 Read more...

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