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Differential Geometry and its Applications Hardback (Mathematical Association of America Textbooks) - Tapa dura

Oprea

 
9780883857489: Differential Geometry and its Applications Hardback (Mathematical Association of America Textbooks)
Tapa dura
ISBN 10: 0883857480 ISBN 13: 9780883857489
Editorial: The Mathematical Association of America, 2007

Sinopsis

This book studies the differential geometry of surfaces and aims to help students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

De la solapa interior

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
The Mathematical Association of America
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0883857480
ISBN 13 
9780883857489
Encuadernación
Tapa dura
Número de páginas
487
Contacto del fabricante
no disponible
Persona responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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