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Calculus Problems For A New Century

Calculus Problems for a New Century PDF

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Author: Robert Fraga
Publisher: Mathematical Assn of Amer
ISBN:
Size: 46.33 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 427
View: 542


A Project of the Associated Colleges of the Midwest and the Great Lakes Colleges Association.

Calculus For A New Century

Calculus for a New Century PDF

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Author: Lynn Arthur Steen
Publisher:
ISBN:
Size: 30.68 MB
Format: PDF, ePub, Mobi
Category : Calculus
Languages : en
Pages : 258
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The Art Of Mathematics

The Art of Mathematics PDF

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Author: Jerry P. King
Publisher: Courier Corporation
ISBN: 0486450201
Size: 25.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 313
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Clear, concise, and superbly written, this book reveals the beauty at the heart of mathematics, illustrating the fundamental connection between aesthetics and mathematics. "Witty, trenchant, and provocative." ? Mathematical Association of America.

Maa Notes

MAA Notes PDF

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Author:
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ISBN:
Size: 66.34 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages :
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A Dictionary Of Science Literature And Art

A Dictionary of Science  Literature  and Art PDF

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Author: William Thomas Brande
Publisher:
ISBN:
Size: 17.62 MB
Format: PDF, Docs
Category : Encyclopedias and dictionaries
Languages : en
Pages : 1352
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A History Of The Calculus Of Variations In The Eighteenth Century

A History of the Calculus of Variations in the Eighteenth Century PDF

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Author: Robert Woodhouse
Publisher: American Mathematical Soc.
ISBN: 9780821836477
Size: 19.28 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 154
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Shortly after the invention of differential and integral calculus, the calculus of variations was developed. The new calculus looks for functions that minimize or maximize some quantity, such as the brachistochrone problem, which was solved by Johann Bernoulli, Leibniz, Newton, Jacob Bernoulli and l'Hopital and is sometimes considered as the starting point of the calculus of variations. In Woodhouse's book, first published in 1810, he has interwoven the historical progress with the scientific development of the subject. The reader will have the opportunity to see how calculus, during its first one hundred years, developed by seemingly tiny increments to become the highly polished subject that we know today. Here, Woodhouse's interweaving of history and science gives his special point of view on the mathematics. As he states in his preface: ``Indeed the authors who write near the beginnings of science are, in general, the most instructive; they take the reader more along with them, show him the real difficulties and, which is the main point, teach him the subject, the way they themselves learned it.''

A Century Of Calculus 1894 1968

A Century of Calculus  1894 1968 PDF

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Author: Tom M. Apostol
Publisher: Mathematical Assn of Amer
ISBN:
Size: 13.67 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 462
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Selected papers reprinted from American mathematical monthly (Volumes 1 - 75) and Mathematics magazine (Volumes 1 - 40).

Much Ado About Calculus

Much Ado About Calculus PDF

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Author: R.L. Wilson
Publisher: Springer Science & Business Media
ISBN: 1461596440
Size: 79.10 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 788
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The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century. With the recent development of the digital computer, the range of applications of mathematics, including the calculus, has increased greatly and now includes many disciplines that were formerly thought to be non quantitative. Some of the more traditional applications have been altered, by the presence of a computer, to an extent such that many problems hitherto felt to be intractable are now solvable. This book has been written as a reaction to events that have altered the applications of the calculus. The use of the computer is made possible at an early point, although the extent to which the computer is used in the course is subject to the decision of the instructor. Some less traditional applications are included in order to provide some insight into the breadth of problems that are now susceptible to mathematical solution. The Stieltjes integral is introduced to provide for easier transition from the stated problem to its mathematical formulation, and also to permit the use of functions like step functions in later courses (such as statistics) with relative ease. The course is designed to include all the background material ordinarily associa ted with the first course in the calculus, but it is also designed with the user in mind.

The Century Dictionary The Century Dictionary

The Century Dictionary  The Century dictionary PDF

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Author:
Publisher:
ISBN:
Size: 47.23 MB
Format: PDF, Mobi
Category : Atlases
Languages : en
Pages :
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The Calculus Collection

The Calculus Collection PDF

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Author: Caren L. Diefenderfer
Publisher: MAA
ISBN: 9780883857618
Size: 34.41 MB
Format: PDF, Docs
Category : Juvenile Nonfiction
Languages : en
Pages : 507
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Reader collecting articles from MAA journals between 1977 and 2007, selected for usefulness to high school calculus teachers.

A History Of The Calculus Of Variations From The 17th Through The 19th Century

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

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Author: H. H. Goldstine
Publisher: Springer Science & Business Media
ISBN: 1461381061
Size: 80.39 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 410
View: 7339


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 Origins Of Cauchy S Rigorous Calculus

The Origins of Cauchy s Rigorous Calculus PDF

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Author: Judith V. Grabiner
Publisher: Courier Corporation
ISBN: 0486143740
Size: 55.79 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 272
View: 7747


This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.

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