Cantitate/Preț
Produs

Elementary Differential Geometry

Autor Christian Bär
en Limba Engleză Paperback – 5 mai 2010
The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss–Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.
Citește tot Restrânge

Preț: 43136 lei

Preț vechi: 48468 lei
-11% Nou

Puncte Express: 647

Preț estimativ în valută:
8255 8608$ 6861£

Carte tipărită la comandă

Livrare economică 20 martie-03 aprilie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521721493
ISBN-10: 0521721490
Pagini: 330
Ilustrații: 147 b/w illus. 4 colour illus. 125 exercises
Dimensiuni: 175 x 247 x 16 mm
Greutate: 0.66 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

Preface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index.

Recenzii

'The book under review presents a detailed and pedagogically excellent study about differential geometry of curves and surfaces by introducing modern concepts and techniques so that it can serve as a transition book between classical differential geometry and contemporary theory of manifolds. the concepts are discussed through historical problems as well as motivating examples and applications. Moreover, constructive examples are given in such a way that the reader can easily develop some understanding for extensions, generalizations and adaptations of classical differential geometry to global differential geometry.' Zentralblatt MATH

Notă biografică


Descriere

This easy-to-read introduction takes the reader from elementary problems through to current research. Ideal for courses and self-study.