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

Author : H. H. Goldstine
Publisher : Springer Science & Business Media
ISBN 13 : 1461381061
Total Pages : 427 pages
Book Rating : 4.68/5 ( download)

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Download or read book A History of the Calculus of Variations from the 17th through the 19th Century written by H. H. Goldstine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. 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.

Author : Herman Heine Goldstine
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.32/5 ( download)

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Download or read book A History of the Calculus of Variations from the 17th Through the 19th Century written by Herman Heine Goldstine and published by . This book was released on 1995 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : I. Todhunter
Publisher : BoD – Books on Demand
ISBN 13 : 3375057849
Total Pages : 553 pages
Book Rating : 4.48/5 ( download)

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Download or read book A History of the Calculus of Variations written by I. Todhunter and published by BoD – Books on Demand. This book was released on 2022-06-12 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1861.

Author : Isaac Todhunter
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.68/5 ( download)

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Download or read book A History of the Progress of the Calculus of Variations During the Nineteenth Century By I. Todhunter written by Isaac Todhunter and published by . This book was released on 1861 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Isaac Todhunter
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.53/5 ( download)

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Download or read book History of Calculus of Variations written by Isaac Todhunter and published by . This book was released on 1861 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : I. Todhunter
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.04/5 ( download)

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Download or read book A History of the Calculus of Variations During the Nineteenth Century written by I. Todhunter and published by . This book was released on 1964 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Robert Woodhouse
Publisher : American Mathematical Society
ISBN 13 : 0821836471
Total Pages : 170 pages
Book Rating : 4.77/5 ( download)

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Download or read book A History of the Calculus of Variations in the Eighteenth Century written by Robert Woodhouse and published by American Mathematical Society. This book was released on 2004-04-13 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : I. (Isaac) Todhunter
Publisher : Franklin Classics Trade Press
ISBN 13 : 9780353107977
Total Pages : 564 pages
Book Rating : 4.72/5 ( download)

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Download or read book A History of the Progress of the Calculus of Variations During the Nineteenth Century written by I. (Isaac) Todhunter and published by Franklin Classics Trade Press. This book was released on 2018-11-10 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Isaac Todhunter
Publisher : Franklin Classics
ISBN 13 : 9780342117048
Total Pages : 572 pages
Book Rating : 4.41/5 ( download)

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Download or read book A History of the Progress of Calculus of Variations During the Nineteenth Century written by Isaac Todhunter and published by Franklin Classics. This book was released on 2018-10-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Isaac Todhunter
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.86/5 ( download)

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Download or read book A History of the Progress of the Calculus of Variations During the Nineteenth Century written by Isaac Todhunter and published by . This book was released on 1962 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: