Geometric Problems on Maxima and Minima PDF Download
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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: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644733
Category : Mathematics
Languages : en
Pages : 273
Get Book Here
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: 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: 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: Harris Hancock
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 218
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Book Description
Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477
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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author: Georgiĭ Evgenʹevich Shilov
Publisher:
ISBN:
Category : Graphic methods
Languages : en
Pages : 72
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Book Description
Author: R. Frisch
Publisher: Springer Science & Business Media
ISBN: 9401764085
Category : Business & Economics
Languages : en
Pages : 188
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Book Description
Author: Ramchundra
Publisher:
ISBN:
Category : Maxima and minima
Languages : en
Pages : 239
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Book Description
Author: A.K. Sharma
Publisher: Discovery Publishing House
ISBN: 9788171418626
Category : Calculus
Languages : en
Pages : 392
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Book Description
Contents: Change of Independent Variables, Maxima and Minima (Of Functions of a Single Independent Variable), Maxima and Minima (Of Functions of Two Independent Variable), Maxima and Minima (Of Function of Several Independent Variable), Envelopes and Evolutes, Jacobians, Singular Points, Curve Tracing.
Author: Gregory Hartman
Publisher:
ISBN: 9781514225158
Category : Calculus
Languages : en
Pages : 0
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Book Description
APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
