Differential Geometry and Its Applications (Classroom Resource Materials) (Classroom Resource Materials, 59) - Hardcover

John Oprea

Hardcover

ISBN 10: 147045050X ISBN 13: 9781470450502

Publisher: American Mathematical Society, 2019

Synopsis

Differential Geometry and Its Applications 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. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding 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

Review

... There is a good deal to like about this book: the writing is lucid, drawings and diagrams are plentiful and carefully done, and the author conveys a contagious sense of enthusiasm for his subject. --William J. Satzer, MAA Reviews

Edition details

• Publisher: American Mathematical Society
• Publication date: 2019
• ISBN 10: 147045050X
• ISBN 13: 9781470450502
• Binding: Hardcover
• Language: English
• Edition number: 3
• Number of pages: 469