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Calculus for a New Century

1988 Mathematics
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Release : 1988
Genre : Mathematics
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Book Synopsis Calculus for a New Century by : Lynn Arthur Steen

Download or read book Calculus for a New Century written by Lynn Arthur Steen. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement. The document contains: (1) a record of presentations prepared for a colloquium; (2) a collage of reactions to the colloquium by a variety of individuals representing diverse calculus constituencies; (3) summaries of 16 discussion groups that elaborate on particular themes of importance to reform efforts; (4) a series of background papers providing context for the calculus colloquium; (5) a selection of final examinations from Calculus I, II, and III from universities, colleges, and two-year colleges around the country; (6) a collection of reprints of documents related to calculus; and (7) a list of colloquium participants. (PK)

A History of the Calculus of Variations from the 17th through the 19th Century

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 061/5 ( reviews)

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Book Synopsis A History of the Calculus of Variations from the 17th through the 19th Century by : H. H. Goldstine

Download or read book A History of the Calculus of Variations from the 17th through the 19th Century written by H. H. Goldstine. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.

The Mathematical Century

2006-10-22 Mathematics
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Release : 2006-10-22
Genre : Mathematics
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Book Rating : 057/5 ( reviews)

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Book Synopsis The Mathematical Century by : Piergiorgio Odifreddi

Download or read book The Mathematical Century written by Piergiorgio Odifreddi. This book was released on 2006-10-22. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics. Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.

Calculus Problems for a New Century

199? Calculus
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Release : 199?
Genre : Calculus
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Book Synopsis Calculus Problems for a New Century by : Robert Fraga

Download or read book Calculus Problems for a New Century written by Robert Fraga. This book was released on 199?. Available in PDF, EPUB and Kindle. Book excerpt:

Perfect Rigour

2011-03-03 Biography & Autobiography
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Release : 2011-03-03
Genre : Biography & Autobiography
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Book Rating : 098/5 ( reviews)

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Book Synopsis Perfect Rigour by : Masha Gessen

Download or read book Perfect Rigour written by Masha Gessen. This book was released on 2011-03-03. Available in PDF, EPUB and Kindle. Book excerpt: In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.

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