<p>Designed not just for the math major but for all readers of science, this book 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.</p>

Differential Geometry and Its Applications

Science & Math

John Oprea

Mathematics

Prentice Hall College Div.

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) (Classroom Resource Materials, 59)

American Mathematical Society

Differential Geometry and Its Applications (Classroom Resource Materials)

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Books by John Oprea