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A History Of The Progress Of The Calculus Of Variations During The Nineteenth
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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 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.
Book Synopsis A History of the Progress of the Calculus of Variations During the Nineteenth Century by : Isaac Todhunter
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 1861 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A History of the Progress of the Calculus of Variations During the Nineteenth Century By I. Todhunter by : Isaac Todhunter
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:
Download or read book Philosophical Magazine written by and published by . This book was released on 1861 with total page 1562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Royal Society of London by : Royal Society (Great Britain)
Download or read book Proceedings of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1884 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A History of Analysis by : Hans Niels Jahnke
Download or read book A History of Analysis written by Hans Niels Jahnke and published by American Mathematical Soc.. This book was released on with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Book Synopsis The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science by :
Download or read book The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1861 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A History of the Progress of Calculus of Variations During the Nineteenth Century by : Isaac Todhunter
Download or read book A History of the Progress of Calculus of Variations During the Nineteenth Century written by Isaac Todhunter and published by Arkose Press. This book was released on 2015-11-09 with total page 552 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Author :Stefan Hildebrandt Publisher :Springer Science & Business Media ISBN 13 :9780387979915 Total Pages :370 pages Book Rating :4.9/5 (799 download)
Book Synopsis The Parsimonious Universe by : Stefan Hildebrandt
Download or read book The Parsimonious Universe written by Stefan Hildebrandt and published by Springer Science & Business Media. This book was released on 1996-07-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some simple universal laws down through the ages has increased our understanding of nature. The Parsimonious Universe looks at examples from the world around us at a non-mathematical, non-technical level to show that nature achieves efficiency by being stingy with the energy it expends.
Book Synopsis A First Course in the Calculus of Variations by : Mark Kot
Download or read book A First Course in the Calculus of Variations written by Mark Kot and published by American Mathematical Society. This book was released on 2014-10-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Book Synopsis Introduction to the Calculus of Variations by : Hans Sagan
Download or read book Introduction to the Calculus of Variations written by Hans Sagan and published by Courier Corporation. This book was released on 2012-04-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
Download or read book Mathematical monthly written by and published by . This book was released on 1861 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematical Monthly written by and published by . This book was released on 1859 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis London, Edinburgh and Dublin Philosophical Magazine and Journal of Science by :
Download or read book London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1861 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Monthly by : John Daniel Runkle
Download or read book The Mathematical Monthly written by John Daniel Runkle and published by . This book was released on 1861 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227.
Book Synopsis Dictionary of National Biography by :
Download or read book Dictionary of National Biography written by and published by . This book was released on 1898 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dictionary of National Biography by : Leslie Stephen
Download or read book Dictionary of National Biography written by Leslie Stephen and published by . This book was released on 1898 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
