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Calculus of Variations

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Calculus of Variations

The first truly up-to-date treatment of the calculus of variations, this text is also the first to offer a simple introduction to such key concepts as optimal control and linear-quadratic control design. Suitable for junior/senior–level students of math, science, and engineering, this volume also serves as a useful reference for engineers, chemists, and forest/environmental managers. Its broad perspective features numerous exercises, hints, outlines, and comments, plus several appendixes, including a practical discussion of MATLAB.
Students will appreciate the text's reader-friendly style, which features gradual advancements in difficulty and starts by developing technique rather than focusing on technical details. The examples and exercises offer many citations of engineering-based applications, and the exercises range from elementary to graduate-level projects, including longer projects and those related to classic papers.

Reprint of the Pearson Prentice Hall, Upper Saddle River, New Jersey, 2005 edition.
applied mathematics; calculus; set of functions; real numbers; optimal control; quadratic control; maxima and minima of functionals; definite integrals; derivatives; euler lagrange equation; geodesics; laplace equation; dirichlet principle; math problems; algebra; optimal control; bang bang theorem; linear quadratic control design; calculus of variations; Pontryagin's maximum principle
$14.95
Calculus of Variations—
$14.95

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The first truly up-to-date treatment of the calculus of variations, this text is also the first to offer a simple introduction to such key concepts as optimal control and linear-quadratic control design. Suitable for junior/senior–level students of math, science, and engineering, this volume also serves as a useful reference for engineers, chemists, and forest/environmental managers. Its broad perspective features numerous exercises, hints, outlines, and comments, plus several appendixes, including a practical discussion of MATLAB.
Students will appreciate the text's reader-friendly style, which features gradual advancements in difficulty and starts by developing technique rather than focusing on technical details. The examples and exercises offer many citations of engineering-based applications, and the exercises range from elementary to graduate-level projects, including longer projects and those related to classic papers.

Reprint of the Pearson Prentice Hall, Upper Saddle River, New Jersey, 2005 edition.
applied mathematics; calculus; set of functions; real numbers; optimal control; quadratic control; maxima and minima of functionals; definite integrals; derivatives; euler lagrange equation; geodesics; laplace equation; dirichlet principle; math problems; algebra; optimal control; bang bang theorem; linear quadratic control design; calculus of variations; Pontryagin's maximum principle