A History Of The Calculus Of Variations In The Eighteenth Century

Download A History Of The Calculus Of Variations In The Eighteenth Century full books in PDF, epub, and Kindle. Read online A History Of The Calculus Of Variations In The Eighteenth Century ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

A History of the Calculus of Variations in the Eighteenth Century

Author : Robert Woodhouse
Publisher : American Mathematical Society
ISBN 13 : 0821836471
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis A History of the Calculus of Variations in the Eighteenth Century by : Robert Woodhouse

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.

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 : 4.4/5 (613 download)

DOWNLOAD NOW!

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.

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author : Ivor Grattan-Guiness
Publisher : Routledge
ISBN 13 : 1134887558
Total Pages : 578 pages
Book Rating : 4.1/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : Ivor Grattan-Guiness

Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

A History of the Calculus of Variations in the Eighteenth Century

Author : Robert Whoodhouse
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (86 download)

DOWNLOAD NOW!

Book Synopsis A History of the Calculus of Variations in the Eighteenth Century by : Robert Whoodhouse

Download or read book A History of the Calculus of Variations in the Eighteenth Century written by Robert Whoodhouse and published by . This book was released on 1900 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author : I. Grattan-Guinness
Publisher : JHU Press
ISBN 13 : 9780801873973
Total Pages : 980 pages
Book Rating : 4.8/5 (739 download)

DOWNLOAD NOW!

Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : I. Grattan-Guinness

Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by I. Grattan-Guinness and published by JHU Press. This book was released on 2003 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.

The Mathematical Monthly

Author :
Publisher :
ISBN 13 :
Total Pages : 1266 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Monthly by :

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:

The Mathematical Monthly

Author : John Daniel Runkle
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.A/5 ( download)

DOWNLOAD NOW!

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.

The Early Period of the Calculus of Variations

Author : Paolo Freguglia
Publisher : Birkhäuser
ISBN 13 : 3319389459
Total Pages : 297 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis The Early Period of the Calculus of Variations by : Paolo Freguglia

Download or read book The Early Period of the Calculus of Variations written by Paolo Freguglia and published by Birkhäuser. This book was released on 2016-06-27 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is immersed in the challenge of theory building. We see what the founders were doing, the difficulties they faced, the mistakes they made, and their triumphs. The authors guide the reader through these works with instructive commentaries and complements to the original proofs, as well as offering a modern perspective where useful. The authors begin in 1697 with Johann Bernoulli’s work on the brachystochrone problem and the events leading up to it, marking the dawn of the calculus of variations. From there, they cover key advances in the theory up to the development of Lagrange’s δ-calculus, including: • The isoperimetrical problems • Shortest lines and geodesics • Euler’s Methodus Inveniendi and the two Additamenta Finally, the authors give the readers a sense of how vast the calculus of variations has become in centuries hence, providing some idea of what lies outside the scope of the book as well as the current state of affairs in the field. This book will be of interest to anyone studying the calculus of variations who wants a deeper intuition for the techniques and ideas that are used, as well as historians of science and mathematics interested in the development and evolution of modern calculus and analysis.

Proceedings of the Royal Society of London

Author : Royal Society (Great Britain)
Publisher :
ISBN 13 :
Total Pages : 566 pages
Book Rating : 4.3/5 (21 download)

DOWNLOAD NOW!

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:

Mathematical monthly

Author :
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.B/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Mathematical monthly by :

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:

A History of Analysis

Author : Hans Niels Jahnke
Publisher : American Mathematical Soc.
ISBN 13 : 0821826239
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

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 2003 with total page 434 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.

A Historian Looks Back

Author : Judith V. Grabiner
Publisher : MAA
ISBN 13 : 0883855720
Total Pages : 307 pages
Book Rating : 4.8/5 (838 download)

DOWNLOAD NOW!

Book Synopsis A Historian Looks Back by : Judith V. Grabiner

Download or read book A Historian Looks Back written by Judith V. Grabiner and published by MAA. This book was released on 2010-10-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: An inspiring collection of a historian's work on the history of mathematics.

Variational Methods in Mathematical Physics

Author : Philippe Blanchard
Publisher : Springer Science & Business Media
ISBN 13 : 3642826989
Total Pages : 419 pages
Book Rating : 4.6/5 (428 download)

DOWNLOAD NOW!

Book Synopsis Variational Methods in Mathematical Physics by : Philippe Blanchard

Download or read book Variational Methods in Mathematical Physics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990).

Leonhard Euler

Author : Robert E. Bradley
Publisher : Elsevier
ISBN 13 : 0080471293
Total Pages : 543 pages
Book Rating : 4.0/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Leonhard Euler by : Robert E. Bradley

Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler's innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.- Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Mathematics Applied to Continuum Mechanics

Author : Lee A. Segel
Publisher : SIAM
ISBN 13 : 9780898719086
Total Pages : 613 pages
Book Rating : 4.7/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Mathematics Applied to Continuum Mechanics by : Lee A. Segel

Download or read book Mathematics Applied to Continuum Mechanics written by Lee A. Segel and published by SIAM. This book was released on 1977-01-01 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Audience: upper-level undergraduate and graduate students in the fields of applied mathematics, science, and engineering.

Anachronisms in the History of Mathematics

Author : Niccol- Guicciardini
Publisher : Cambridge University Press
ISBN 13 : 1108834965
Total Pages : 393 pages
Book Rating : 4.1/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Anachronisms in the History of Mathematics by : Niccol- Guicciardini

Download or read book Anachronisms in the History of Mathematics written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2021-07-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.

The Impossibility and Necessity of Theodicy

Author : Andrea Poma
Publisher : Springer Science & Business Media
ISBN 13 : 9400750307
Total Pages : 319 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis The Impossibility and Necessity of Theodicy by : Andrea Poma

Download or read book The Impossibility and Necessity of Theodicy written by Andrea Poma and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an analytical interpretation of Leibniz's 'Essais de Théodicée' with wide-ranging references to all his works. It shows and upholds many thesis: Leibniz's rational conception of faith, his rational notion of mystery, the reformation of classical ontology, and the importance of Leibniz's thought in the tradition of the critical idealism. In his endeavor to formulate a theodicy, Leibniz emerges as a classic exponent of a non-immanentist modern rationalism, capable of engaging in a close dialogue with religion and faith. This relation implies that God and reason are directly involved in posing the challenge and that the defence of one is the defence of the other. Theodicy and logodicy are two key aspects of a philosophy which is open to faith and of a faith which is able to intervene in culture and history.