Curves and Surfaces

Häftad, Engelska, 2011

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Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves.

Produktinformation

Utgivningsdatum2011-10-06
Mått157 x 232 x 19 mm
Vikt706 g
FormatHäftad
SpråkEngelska
SerieUNITEXT
Antal sidor396
FörlagSpringer Verlag
ISBN9788847019409

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From the reviews: "The authors' goal in writing this book is to present the theory of curves and surfaces from the viewpoint of contemporary mathematics. ... New concepts and new definitions are fully motivated, and illustrated by numerous examples. ... the book is beautifully written, very well organized, and most of all it may serve as both a less advanced text and a more advanced text for readers interested in the theory of curves and surfaces." (Andrew Bucki, Mathematical Reviews, June, 2013) "It is dedicated to the study of curves and surfaces both from a local and global viewpoint. It is written and organised in such a way that it can be used by a large scope of students, not only for beginning, intermediate or advanced undergraduate courses in mathematics or physics, but also for engineering or computer science students. ... the book can be useful for post-graduate students, too. The book is well written and includes many examples and figures." (Raul Oset Sinha, Zentralblatt MATH, Vol. 1238, 2012)