Geometric Problems on Maxima and Minima

Geometric Problems on Maxima and Minima PDF 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

Geometric Problems on Maxima and Minima

Geometric Problems on Maxima and Minima PDF 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

Elements of the Differential Calculus

Elements of the Differential Calculus PDF Author: James McMahon
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages : 364

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Book Description


Elementary Textbook on the Calculus

Elementary Textbook on the Calculus PDF Author: Virgil Snyder
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 388

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Book Description


Differential and Integral Calculus

Differential and Integral Calculus PDF Author: Virgil Snyder
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 382

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Book Description


Calculus with Analytic Geometry

Calculus with Analytic Geometry PDF Author: Murray H. Protter
Publisher: Jones & Bartlett Learning
ISBN: 9780867200935
Category : Mathematics
Languages : en
Pages : 990

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Book Description


Stories about Maxima and Minima

Stories about Maxima and Minima PDF 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.

Analysis, Geometry, Nonlinear Optimization And Applications

Analysis, Geometry, Nonlinear Optimization And Applications PDF Author: Panos M Pardalos
Publisher: World Scientific
ISBN: 981126158X
Category : Mathematics
Languages : en
Pages : 895

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Book Description
This volume features an extensive account of both research and expository papers in a wide area of engineering and mathematics and its various applications.Topics treated within this book include optimization of control points, game theory, equilibrium points, algorithms, Cartan matrices, integral inequalities, Volterra integro-differential equations, Caristi-Kirk theorems, Laplace type integral operators, etc.This useful reference text benefits graduate students, beginning research engineers and mathematicians as well as established researchers in these domains.

Maxima and Minima Without Calculus

Maxima and Minima Without Calculus PDF 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.

Plane Geometry, with Problems and Application

Plane Geometry, with Problems and Application PDF Author: Herbert Ellsworth Slaught
Publisher: Wentworth Press
ISBN:
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

An Elementary Treatise on the Differential and Integral Calculus

An Elementary Treatise on the Differential and Integral Calculus PDF Author: Edward Albert Bowser
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 424

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Book Description