Geometric Problems On Maxima And Minima PDF Download
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Author | : Titu Andreescu |
Publisher | : Springer Science & Business Media |
Total Pages | : 273 |
Release | : 2007-12-31 |
Genre | : Mathematics |
ISBN | : 0817644733 |
Download Geometric Problems on Maxima and Minima Book in PDF, ePub and Kindle
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 | : Ivan Niven |
Publisher | : American Mathematical Soc. |
Total Pages | : 303 |
Release | : 1981-12-31 |
Genre | : Mathematics |
ISBN | : 1470448750 |
Download Maxima and Minima Without Calculus Book in PDF, ePub and Kindle
The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima minima other than the methods of calculus and linear programming. The emphasis is not on individual problems, but on methods that solve large classes of problems. The many chapters of the book can be read independently, without references to what precedes or follows. Besides the many problems solved in the book, others are left to the reader to solve, with sketches of solutions given in the later pages.
Author | : Vladimir Mikhaĭlovich Tikhomirov |
Publisher | : American Mathematical Soc. |
Total Pages | : 201 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0821801651 |
Download Stories about Maxima and Minima Book in PDF, ePub and Kindle
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 | : Murray H. Protter |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 990 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 9780867200935 |
Download Calculus with Analytic Geometry Book in PDF, ePub and Kindle
Author | : James McMahon |
Publisher | : |
Total Pages | : 368 |
Release | : 1898 |
Genre | : Differential calculus |
ISBN | : |
Download Elements of the Differential Calculus Book in PDF, ePub and Kindle
Author | : Virgil Snyder |
Publisher | : |
Total Pages | : 388 |
Release | : 1912 |
Genre | : Calculus |
ISBN | : |
Download Elementary Textbook on the Calculus Book in PDF, ePub and Kindle
Author | : Virgil Snyder |
Publisher | : |
Total Pages | : 386 |
Release | : 1902 |
Genre | : Calculus |
ISBN | : |
Download Differential and Integral Calculus Book in PDF, ePub and Kindle
Author | : James Morford Taylor |
Publisher | : |
Total Pages | : 264 |
Release | : 1886 |
Genre | : Calculus |
ISBN | : |
Download Elements of the Differential and Integral Calculus with Examples and Applications Book in PDF, ePub and Kindle
Author | : Panos M Pardalos |
Publisher | : World Scientific |
Total Pages | : 895 |
Release | : 2023-03-20 |
Genre | : Mathematics |
ISBN | : 981126158X |
Download Analysis, Geometry, Nonlinear Optimization And Applications Book in PDF, ePub and Kindle
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.
Author | : Ivan Niven |
Publisher | : Cambridge University Press |
Total Pages | : 328 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : 9780883853061 |
Download Maxima and Minima Without Calculus Book in PDF, ePub and Kindle
Describes techniques for solving problems in maxima and minima other than the methods of calculus.