Differential Geometry and its Applications (Mathematical Association of America Textbooks) - Hardcover

Oprea, John

Hardcover

ISBN 10: 0883857480 ISBN 13: 9780883857489

Publisher: The Mathematical Association of America, 2007

Synopsis

Differential geometry has a long, wonderful history and has found relevance in many areas. This book studies the differential geometry of surfaces with the goal of helping 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. Differential geometry is not just for mathematics majors, but 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. 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.

About this title

Book Description:

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.

From the Publisher:

Designed not just for the math major but for all students of science, this text provides an introduction to the basics of the calculus of variations and optimal control theory as well as differential geometry. It then applies these essential ideas to understand various phenomena, such as soap film formation and particle motion on surfaces.

About this edition

• Publisher: The Mathematical Association of America
• Publication date: 2007
• ISBN 10: 0883857480
• ISBN 13: 9780883857489
• Binding: Hardcover
• Edition number: 2
• Number of pages: 487