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Differential Geometry and its Applications Classroom Resource Materials Mathematical Association of America Textbooks 2nd Edition by John Oprea ISBN 0883857480 9780883857489

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Differential Geometry and its Applications Classroom Resource Materials Mathematical Association of America Textbooks 2nd Edition John Oprea Digital Instant Download

Author(s): John Oprea
ISBN(s): 9780883857489, 0883857480
Edition: 2
File Details: PDF, 57.99 MB
Year: 2007
Language: english
SKU: EB-2322948 Category: Tag:

Differential Geometry and its Applications Classroom Resource Materials Mathematical Association of America Textbooks 2nd Edition by John Oprea – Ebook PDF Instant Download/Delivery: 0883857480, 9780883857489
Full download Differential Geometry and its Applications Classroom Resource Materials Mathematical Association of America Textbooks 2nd Edition after payment

Product details:

ISBN 10: 0883857480 
ISBN 13: 9780883857489
Author: John Oprea

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.

Differential Geometry and its Applications Classroom Resource Materials Mathematical Association of America Textbooks 2nd Table of contents:

1. The Geometry of Curves
2. Surfaces
3. Curvatures
4. Constant Mean Curvature Surfaces
Color Insert
5. Geodesics, Metrics and Isometries
6. Holonomy and the Gauss-Bonnet Theorem
7. The Calculus of Variations and Geometry
8. A Glimpse at Higher Dimensions
A. List of Examples
B. Hints and Solutions to Selected Problems
C. Suggested Projects for Differential Geometry

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