Geometric Problems On Maxima And Minima

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Geometric Problems On Maxima And Minima

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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31

Geometric Problems On Maxima And Minima written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.

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

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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-08

Geometric Problems On Maxima And Minima written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-08 with Mathematics categories.

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

Stories About Maxima And Minima

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Author : Vladimir Mikhaĭlovich Tikhomirov
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Stories About Maxima And Minima written by Vladimir Mikhaĭlovich Tikhomirov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

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

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Author : Panos M Pardalos
language : en
Publisher: World Scientific
Release Date : 2023-03-20

Analysis Geometry Nonlinear Optimization And Applications written by Panos M Pardalos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-20 with Mathematics categories.

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

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Author : Ivan Niven
language : en
Publisher: Cambridge University Press
Release Date : 1981

Maxima And Minima Without Calculus written by Ivan Niven and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Describes techniques for solving problems in maxima and minima other than the methods of calculus.

An Elementary Treatise On The Differential And Integral Calculus With Numerous Examples

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Author : Edward Albert Bowser
language : en
Publisher:
Release Date : 1886

An Elementary Treatise On The Differential And Integral Calculus With Numerous Examples written by Edward Albert Bowser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Calculus categories.

An Elementary Treatise On The Differential And Integral Calculus

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Author : Edward Albert Bowser
language : en
Publisher:
Release Date : 1880

An Elementary Treatise On The Differential And Integral Calculus written by Edward Albert Bowser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with Calculus categories.

Andr Marie Amp Re

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Author : James R. Hofmann
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-11

Andr Marie Amp Re written by James R. Hofmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-11 with Biography & Autobiography categories.

Absorbing biography of the creative and destructive scientific genius and tragic life of André-Marie Ampère.

The Secrets Of Triangles

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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2012-08-28

The Secrets Of Triangles written by Alfred S. Posamentier and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-28 with Mathematics categories.

Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.

Doing Honest Work In College

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Author : Charles Lipson
language : en
Publisher: University of Chicago Press
Release Date : 2008-04-15

Doing Honest Work In College written by Charles Lipson and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Education categories.

Now fully updated, this popular guide to academic integrity explains to students how to prepare citations, avoid plagiarism, and achieve real academic success.