A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Mesterton-Gibbons, Mike 作者

American Mathematical Society

译者

2009 出版日期

252 页数

348.00 元价格

Student Mathematical Library 丛书系列

9780821847725 图书编码

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A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书著者简介

Mike Mesterton-Gibbons: Florida State University, Tallahassee, FL

A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书图书目录

A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

A Primer on the Calculus of Variations and Optimal Control Theory 在线电子书图书描述

The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations.

This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting.

The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.

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