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Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (9 download)
Download or read book The Method of Fluxions and Infinite Series written by Isaac Newton and published by . This book was released on 1736 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.0/5 (18 download)
Download or read book The Method of Fluxions and Infinite Series; with Its Application to the Geometry of Curve-lines ... Translated from the Author's Latin Original Not Yet Made Publick. To which is Subjoin'd a Perpetual Comment Upon the Whole Work ... by J. Colson written by Sir Isaac Newton and published by . This book was released on 1736 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Colin MacLaurin
Publisher :
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.:/5 (9 download)
Download or read book A treatise of fluxions written by Colin MacLaurin and published by . This book was released on 1742 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (9 download)
Download or read book Analysis Per Quantitatum Series, Fluxiones, Ac Differentias written by Isaac Newton and published by . This book was released on 1711 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.:/5 (19 download)
Download or read book The Method of Fluxions and Infinite Series written by Isaac Newton and published by . This book was released on 1736 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Niccolo Guicciardini
Publisher : MIT Press
ISBN 13 : 0262291657
Total Pages : 449 pages
Book Rating : 4.2/5 (622 download)
Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini and published by MIT Press. This book was released on 2011-08-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
Author : G. Berkeley
Publisher : Springer Science & Business Media
ISBN 13 : 9401125929
Total Pages : 235 pages
Book Rating : 4.4/5 (11 download)
Download or read book De Motu and the Analyst written by G. Berkeley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Chronology of Ancient Kingdoms Amended written by Isaac Newton and published by . This book was released on 1728 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Dunham
Publisher : Princeton University Press
ISBN 13 : 069118285X
Total Pages : 256 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Calculus Gallery written by William Dunham and published by Princeton University Press. This book was released on 2018-11-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.
Author : David D. Nolte
Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (111 download)
Download or read book The Method of Fluxions and Infinite Series written by Isaac Newton and published by . This book was released on 1736 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Bernard Cohen
Publisher : Cambridge University Press
ISBN 13 : 9780521656962
Total Pages : 518 pages
Book Rating : 4.6/5 (569 download)
Download or read book The Cambridge Companion to Newton written by I. Bernard Cohen and published by Cambridge University Press. This book was released on 2002-04-25 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newton's philosophical analysis of space and time /Robert Disalle --Newton's concepts of force and mass, with notes on the Laws of Motion /I. Bernard Cohen --Curvature in Newton's dynamics /J. Bruce Brackenridge and Michael Nauenberg --Methodology of the Principia /George E. Smith --Newton's argument for universal gravitation /William Harper --Newton and celestial mechanics /Curtis Wilson --Newton's optics and atomism /Alan E. Shapiro --Newton's metaphysics /Howard Stein --Analysis and synthesis in Newton's mathematical work /Niccolò Guicciardini --Newton, active powers, and the mechanical philosophy /Alan Gabbey --Background to Newton's chymistry /William Newman --Newton's alchemy /Karin Figala --Newton on prophecy and the Apocalypse /Maurizio Mamiani --Newton and eighteenth-century Christianity /Scott Mandelbrote --Newton versus Leibniz : from geomentry to metaphysics /A. Rupert Hall --Newton and the Leibniz-Clarke correspondence /Domenico Bertoloni Meli.
Author : C.H.Jr. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 1461262305
Total Pages : 363 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Historical Development of the Calculus written by C.H.Jr. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.
Author : Alfred Rupert Hall
Publisher : Cambridge University Press
ISBN 13 : 9780521524896
Total Pages : 358 pages
Book Rating : 4.5/5 (248 download)
Download or read book Philosophers at War written by Alfred Rupert Hall and published by Cambridge University Press. This book was released on 2002-09-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: A blow-by-blow account of the celebrated controversy over the invention of the calculus.
Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1475732406
Total Pages : 754 pages
Book Rating : 4.4/5 (757 download)
Download or read book Pi: A Source Book written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.
Author : Walter William Rouse Ball
Publisher :
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Short Account of the History of Mathematics written by Walter William Rouse Ball and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Asen L. Dontchev
Publisher : Springer
ISBN 13 : 149391037X
Total Pages : 495 pages
Book Rating : 4.4/5 (939 download)
Download or read book Implicit Functions and Solution Mappings written by Asen L. Dontchev and published by Springer. This book was released on 2014-06-18 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.
