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Curves and Surfaces
M. Abate
€ 84.69
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Description for Curves and Surfaces
Paperback.
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. 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 ... Read more
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. 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 ... Read more
Product Details
Publisher
Springer Verlag Italy
Number of pages
210
Format
Paperback
Publication date
2011
Condition
New
Number of Pages
396
Place of Publication
Milan, Italy
ISBN
9788847019409
SKU
V9788847019409
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Curves and Surfaces
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 ... Read more