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A History Of The Progress Of The Calculus Of Variations During The Nineteenth Century Classic Reprint
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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 American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by . This book was released on 1968 with total page 1366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus of Variations I by : Mariano Giaquinta
Download or read book Calculus of Variations I written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2004-06-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.
Book Synopsis On the Development of Mathematical Thought During the Nineteenth Century by : John Theodore Merz
Download or read book On the Development of Mathematical Thought During the Nineteenth Century written by John Theodore Merz and published by . This book was released on 1906 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first 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.
Book Synopsis The Principle of Least Action by : Alberto Rojo
Download or read book The Principle of Least Action written by Alberto Rojo and published by Cambridge University Press. This book was released on 2018-03-29 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes - with varying levels of mathematical sophistication - explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics.
Book Synopsis Calculus of Variations II by : Mariano Giaquinta
Download or read book Calculus of Variations II written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2004-06-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.
Book Synopsis The Publishers' Circular and Booksellers' Record by :
Download or read book The Publishers' Circular and Booksellers' Record written by and published by . This book was released on 1911 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Mathematics by : Carl B. Boyer
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Author :Yvette Kosmann-Schwarzbach Publisher :Springer Science & Business Media ISBN 13 :0387878688 Total Pages :211 pages Book Rating :4.3/5 (878 download)
Book Synopsis The Noether Theorems by : Yvette Kosmann-Schwarzbach
Download or read book The Noether Theorems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.
Book Synopsis Historical Encyclopedia of Natural and Mathematical Sciences by : Ari Ben-Menahem
Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Download or read book British Books written by and published by . This book was released on 1911 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Publishers' Circular written by and published by . This book was released on 1922 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Journal of Physics written by and published by . This book was released on 2007 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Studies of Pallas in the Early Nineteenth Century by : Clifford J. Cunningham
Download or read book Studies of Pallas in the Early Nineteenth Century written by Clifford J. Cunningham and published by Springer. This book was released on 2016-11-14 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on extensive primary sources, many never previously translated into English, this is the definitive account of the discovery of Pallas as it went from being classified as a new planet to reclassification as the second of a previously unknown group of celestial objects. Cunningham, a dedicated scholar of asteroids, includes a large set of newly translated correspondence as well as the many scientific papers about Pallas in addition to sections of Schroeter's 1805 book on the subject. It was Olbers who discovered Pallas, in 1802, the second of many asteroids that would be officially identified as such. From the Gold Medal offered by the Paris Academy to solve the mystery of Pallas' gravitational perturbations to Gauss' Pallas Anagram, the asteroid remained a lingering mystery to leading thinkers of the time. Representing an intersection of science, mathematics, and philosophy, the puzzle of Pallas occupied the thoughts of an amazing panorama of intellectual giants in Europe in the early 1800s.
Book Synopsis Books about Mathematics by : Else Høyrup
Download or read book Books about Mathematics written by Else Høyrup and published by . This book was released on 1980 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
