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Books > Science & Mathematics > Science: general issues > History of science
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Stories About Maxima and Minima (Paperback, Illustrated Ed)
Loot Price: R1,199
Discovery Miles 11 990
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Stories About Maxima and Minima (Paperback, Illustrated Ed)
Series: Mathematical World, No. 1
Expected to ship within 12 - 17 working days
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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.
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