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Author: William McGowen Priestley
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 136
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Book Description
Author: William McGowen Priestley
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 136
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Book Description
Author: W. M. Priestley
Publisher:
ISBN: 9781468493504
Category :
Languages : en
Pages : 464
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Book Description
Author: David M. Bressoud
Publisher: Princeton University Press
ISBN: 0691218781
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.
Author: Heinrich Brarens Sloman
Publisher: Rarebooksclub.com
ISBN: 9781230161877
Category :
Languages : en
Pages : 48
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Book Description
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1860 edition. Excerpt: ...a la meme part a cette gloire, sentirent par le peu qu'ils voyoient de ce calcul quelle en devait etre Vetendue et la beaute, ils s'appliquerent opiniatriment a en chercher le secret, et Venlever a Vinventeur, ils y reussirent, et perfectionnerent cette Methode au point que M. Leibnits par une sincerite digne d'un grand homme a declare qu'elle leur appartenait autant qu'a lui. Gerhardt endorses the above assertion, and we do so with him. He namely tells us, Leib. Math. Works, III, p. 5, 1855. "In the "Acta Erud., in 1684, Leibnitz had made known his new method; "James Bernoulli could readily imagine of what importance it was; "yet he was unable to raise the veil which, as it appeared, concealed "almost impenetrably the very concisely enunciated principle. At "last in the year 1687 an opportunity presented itself to James "Bernoulli to enter upon a correspondence with Leibnitz, the author "of the new method, and request him to furnish explanations and "directions by which to understand it. This letter of Bernoulli's was "delivered, while Leibnitz was absent upon a long journey;and "so it happened that Leibnitz did not furnish James Bernoulli with "an answer to it, till after his return in the year 1690, when however "he had no longer any need to instruct Bernoulli in the principle of "this higher analysis. For Bernoulli had, propria Marte, and by a "persevering study, penetrated the mystery, and had already manifested "the proficiency he had acquired by the solution of the isochronous"curve-problem, which Leibnitz had proposed to the Cartesians." "In den Actis erud. hatte...
Author: Paolo Freguglia
Publisher: Birkhäuser
ISBN: 3319389459
Category : Mathematics
Languages : en
Pages : 297
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Book Description
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.
Author: Heinrich Brarens Sloman
Publisher: Palala Press
ISBN: 9781358953095
Category :
Languages : en
Pages :
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Book Description
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: Daniel E. Otero
Publisher:
ISBN: 9781586920395
Category :
Languages : en
Pages : 234
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Book Description
Author: C. H. Jr. Edwards
Publisher:
ISBN: 9781461262312
Category :
Languages : en
Pages : 368
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Book Description
Author: Charles Henry Edwards
Publisher:
ISBN: 9783540943136
Category : Calculus
Languages : en
Pages : 351
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Book Description
Author: J.B. Shank
Publisher: University of Chicago Press
ISBN: 022650932X
Category : History
Languages : en
Pages : 457
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Book Description
We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general. Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
