Theory of Maxima and Minima PDF Download
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Author: Harris Hancock
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 218
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Book Description
Author: Harris Hancock
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 218
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Book Description
Author: Vladimir Mikhaĭlovich Tikhomirov
Publisher: American Mathematical Soc.
ISBN: 0821801651
Category : Mathematics
Languages : en
Pages : 201
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Book Description
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the past - Euclid, Archimedes, Heron, the Bernoullis, Newton and many others - took part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book, copublished with the Mathematical Association of America (MAA), presents fifteen "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. Unlike most AMS publications, the book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how to remains the same in spite of these changes.
Author: R. Frisch
Publisher: Springer Science & Business Media
ISBN: 9401764085
Category : Business & Economics
Languages : en
Pages : 188
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Book Description
Author: Charles Fox
Publisher: Courier Corporation
ISBN: 9780486654997
Category : Mathematics
Languages : en
Pages : 308
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Book Description
In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644733
Category : Mathematics
Languages : en
Pages : 273
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Book Description
Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts
Author: Ernest William Hobson
Publisher: CUP Archive
ISBN:
Category : Calculus
Languages : en
Pages : 804
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Book Description
Author: Ivan Niven
Publisher: Cambridge University Press
ISBN: 9780883853061
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Describes techniques for solving problems in maxima and minima other than the methods of calculus.
Author: Oskar Bolza
Publisher: University of Michigan Library
ISBN:
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Author: Donald A. Pierre
Publisher: Courier Corporation
ISBN: 0486136957
Category : Mathematics
Languages : en
Pages : 644
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Book Description
Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.
Author: Daniel Liberzon
Publisher: Princeton University Press
ISBN: 0691151873
Category : Mathematics
Languages : en
Pages : 255
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Book Description
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
