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Synopsis
For undergraduate courses in Differential Geometry.
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.
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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.
About the Author
John Oprea is a Professor of mathematics at Cleveland State University in Ohio and a Lester R. Ford award recipient
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Differential Geometry and Its Applications
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