Analytical Methods of Optimization (Dover Books on Mathematics) by D. F. Lawden (PDF)

Description

Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. It takes the approach most appropriate for applications to problems of optimizing the behavior of engineering systems. Two of these problem areas have strongly influenced this presentation: the design of the control systems and the choice of rocket trajectories to be followed by terrestrial and extraterrestrial vehicles.Topics include static systems, control systems, additional constraints, the Hamilton-Jacobi equation, and the accessory optimization problem. Prerequisites include a course in the analysis of functions of many real variables and a familiarity with the elementary theory of ordinary differential equations, especially linear equations. Emphasis throughout the text is placed upon methods and principles, which are illustrated by worked problems and sets of exercises. Solutions to the exercises are available from the publisher upon request.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Being an engineer it is hard to find anyone interested in analytical optimal control/functional optimization or find good courses teaching this stuff (no, convex optimization or linear optimization is sometimes not enough)Pure math books can be daunting, and although philosophically satisfying, practically useless. This books fills that gap in concise and precise manner. I could teach myself optimal control and use it for research (engineering research) in solving some practical problems analytically!

⭐This is one of the classic books on the spectral theory of Sturm-Liouville equations with periodic coefficients. Sadly it is out of print with no sign of a reprint appearing in the near future.

⭐Se interessati a controllo ottimo e ottimizzazione funzionale si tratta di un libro abbastanza buono per autodidatti. Abbastanza rapido e coinciso

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