A History Of The Calculus Of Variations From The 17th Through The 19th Century
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A History Of The Calculus Of Variations From The 17th Through The 19th Century
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Author : H. H. Goldstine
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A History Of The Calculus Of Variations From The 17th Through The 19th Century written by H. H. Goldstine and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
A History Of The Calculus Of Variations From The 17th Through The 19th Century
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Author : Herman Heine Goldstine
language : en
Publisher:
Release Date : 1995
A History Of The Calculus Of Variations From The 17th Through The 19th Century written by Herman Heine Goldstine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century By I Todhunter
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1861
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century By I Todhunter written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1861 with Calculus of variations categories.
A History Of The Calculus Of Variations
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Author : I. Todhunter
language : en
Publisher: BoD – Books on Demand
Release Date : 2022-06-12
A History Of The Calculus Of Variations written by I. Todhunter and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-12 with Fiction categories.
Reprint of the original, first published in 1861.
History Of Calculus Of Variations
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1861
History Of Calculus Of Variations written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1861 with categories.
A History Of The Calculus Of Variations During The Nineteenth Century
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Author : I. Todhunter
language : en
Publisher:
Release Date : 1964
A History Of The Calculus Of Variations During The Nineteenth Century written by I. Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1962
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus of variations categories.
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century
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Author : I (Isaac) 1820-1884 Todhunter
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century written by I (Isaac) 1820-1884 Todhunter and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with categories.
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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A History Of The Progress Of Calculus Of Variations During The Nineteenth Century
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Author : Isaac Todhunter
language : en
Publisher: Franklin Classics
Release Date : 2018-10-10
A History Of The Progress Of Calculus Of Variations During The Nineteenth Century written by Isaac Todhunter and has been published by Franklin Classics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-10 with categories.
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.
A History Of The Calculus Of Variations In The Eighteenth Century
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Author : Robert Woodhouse
language : en
Publisher: American Mathematical Society
Release Date : 2004-04-13
A History Of The Calculus Of Variations In The Eighteenth Century written by Robert Woodhouse and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-13 with Mathematics categories.
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.