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by V. M. Tikhomirov

  • ISBN: 0821801651
  • Category: Math & Science
  • Author: V. M. Tikhomirov
  • Subcategory: Mathematics
  • Other formats: mobi txt doc lrf
  • Language: English
  • Publisher: American Mathematical Society (April 1, 1991)
  • Pages: 187 pages
  • FB2 size: 1273 kb
  • EPUB size: 1968 kb
  • Rating: 4.1
  • Votes: 535
Download Stories About Maxima and Minima (Mathematical World/Volume 1) fb2

Tikhomirov concludes with a description of Lagrange multipliers and how to use them, a good peek into where you can .

Tikhomirov concludes with a description of Lagrange multipliers and how to use them, a good peek into where you can go from the book. All in all, I think math should be thought like this: motivate with the reason behind the problem, illustrate with solution attempted or found by the inventor and finish with the guiding principles for the group of problems. It makes math beautiful and useful.

This book 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.

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. This book 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.

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Throughout the history of mathematics, maximum and minimum problems have . ISBN 13: 9780821801659. Series: Mathematical world, v. 1. File: PDF, . 2 MB. Читать онлайн. 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.

Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution . Stories About Maxima and Minima. The greatest scientists of the past - Euclid, Archimedes, Heron, the Bernoullis, Newton, and many others - took part in seeking solutions to these concrete problems. A Mathematical Gift, Volume 1-3. Morita Shigeyuki.

Mathematical World, Volume 1 Stories about Maxima and Minima V. M. Tikhomirov Translated from the Russian by. .The Fourth Story 4 Maxima and Minima in Geometry The history of science contains many examples of applications of pure geometry and of its usefulness. Tikhomirov Translated from the Russian by Abe Shenitzer. B. tmxommpob PACCKA3bI o makcmmymax M mhhmmymax hayka. MOCKBA, 1986 Translated from the Russian by Abe Shenitzer 1991 Mathematics Subject Classification.

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (t.

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.

Fermat, a lawyer by profession, was a mathematical genius

Fermat, a lawyer by profession, was a mathematical genius. Apart from being regarded as the founder of modern number theory, he made seminal contributions to calculus and probability theory. In this article, various mathematical works of Fermat are discussed briefly along with the notoriously difficult FLT associated with him. KeywordsFermat–coordinate geometry–number theory–probability theory–quadrature–tangent to curve–maxima-minima–principle of least time.

FOREWORD Each chapter gives examples of mathematical methods in some of their barest forms.

Solving: Steven G. Krantz Solutions Manual for Techniques of Problem Solving: Luis Fernandez & Haedeh Gooransarab Mathematical World Mathematical Circles (Russian Experience) Dmitri Fomin Sergey Genkin Ilia Itenberg Translated from the Russian by Mark Saul Universities Press Universities Press (India) Private Limited Registered Office 3-5-819 Hyderguda, Hyderabad 500 029 (. ), India Distribllted by Orient Longman Private Limited Regisfered Office. FOREWORD Each chapter gives examples of mathematical methods in some of their barest forms.

Details Coming Soon Stories About Maxima and Minima. Amer Mathematical Society. Mathematical World, Publisher. Assembled Product Dimensions (L x W x H). 4 x . 5 Inches.

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 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. This 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 it remains the same in spite of these changes.


Reviews about Stories About Maxima and Minima (Mathematical World/Volume 1) (2):
Gosar
Great book!
Azago
This is a very nice introduction to maxima and minima. The first part talks about the history of extremal problems (finding max or min) in different fields. For instance, Heron's problem in geometry, Snel's problem in refraction of light, Newton in aerodynamics(control). In these areas, it describes how various people attempted to solve these problems using geometry, trigonometry, algebra, etc. Working with him through these problems is a great highschool overview.

The second part then unifies all these problems, and solves them again using the same general principle (Differentiation method), This replication really knocks the ideas into your head. Tikhomirov concludes with a description of Lagrange multipliers and how to use them, a good peek into where you can go from the book.

All in all, I think math should be thought like this: motivate with the reason behind the problem, illustrate with solution attempted or found by the inventor and finish with the guiding principles for the group of problems.

Very good text. It makes math beautiful and useful.

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