Articoli correlati a Differential Geometry and its Applications

Differential Geometry and its Applications - Rilegato

Oprea, John

 
9780883857489: Differential Geometry and its Applications
Rilegato
ISBN 10: 0883857480 ISBN 13: 9780883857489
Casa editrice: The Mathematical Association of America, 2007

Sinossi

This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull'autore

John Oprea is a Professor of mathematics at Cleveland State University in Ohio and a Lester R. Ford award recipient

Dal risvolto di copertina interno

Differential geometry has a long, wonderful history it has found relevance in areas ranging from machinery design of the classification of four-manifolds to the creation of theories of natures fundamental forces to the study of DNA. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole, it mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Differential geometry is not just for mathematics majors, it is also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. Students will not only see geodesics on surfaces, but they will also see the effect that an abstract result such as the Clairaut relation can have on geodesics. Furthermore, the book shows how the equations of motion of particles constrained to surfaces are actually types of geodesics. Students will also see how particles move under constraints. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
The Mathematical Association of America
Data di pubblicazione
2007
Lingua
Inglese
ISBN 10 
0883857480
ISBN 13 
9780883857489
Rilegatura
Copertina rigida
Numero edizione
2
Numero di pagine
487
Contatto del produttore
non disponibile
Persona responsabile
non disponibile