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Author : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.4/5 (91 download)
Download or read book The Geometrical Lectures of Isaac Barrow written by Isaac Barrow and published by . This book was released on 1916 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mordechai Feingold
Publisher : Cambridge University Press
ISBN 13 : 9780521306942
Total Pages : 404 pages
Book Rating : 4.3/5 (69 download)
Download or read book Before Newton written by Mordechai Feingold and published by Cambridge University Press. This book was released on 1990-03-30 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive reevaluation of Isaac Barrow (1630-1677), one of the more prominent and intriguing of all seventeenth-century men of science. Barrow is remembered today--if at all--only as Sir Isaac Newton's mentor and patron, but he in fact made important contributions to the disciplines of optics and geometry. Moreover, he was a prolific and influential preacher as well as a renowned classical scholar. By seeking to understand Barrow's mathematical work, primarily within the confines of the pre-Newtonian scientific framework, the book offers a substantial rethinking of his scientific acumen. In addition to providing a biographical study of Barrow, it explores the intimate connections among his scientific, philological, and religious worldviews in an attempt to convey the complexity of the seventeenth-century culture that gave rise to Isaac Barrow, a breed of polymath that would become increasingly rare with the advent of modern science.
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 : 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 : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (66 download)
Download or read book The Mathematical Works written by Isaac Barrow and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emily Thomas
Publisher : Oxford University Press
ISBN 13 : 0198807937
Total Pages : 253 pages
Book Rating : 4.1/5 (988 download)
Download or read book Absolute Time written by Emily Thomas and published by Oxford University Press. This book was released on 2018 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is time? This is one of the most fundamental questions we can ask. Traditionally, the answer was that time is a product of the human mind, or of the motion of celestial bodies. In the mid-seventeenth century, a new kind of answer emerged: time or eternal duration is 'absolute', in the sense that it is independent of human minds and material bodies. Emily Thomas explores the development of absolute time or eternal duration during one of Britain's richest and most creative metaphysical periods, from the 1640s to the 1730s. She introduces an interconnected set of main characters - Henry More, Walter Charleton, Isaac Barrow, Isaac Newton, John Locke, Samuel Clarke, and John Jackson - alongside a large and varied supporting cast, whose metaphysical views are all read in their historical context and given a place in the seventeenth- and eighteenth-century development of thought about time. In addition to interpreting the metaphysics of these thinkers, Absolute Time advances two general, developmental theses. First, the complexity of positions on time (and space) defended in early modern thought is hugely under-appreciated. Second, distinct kinds of absolutism emerged in British philosophy, helping us to understand why some absolutists considered time to be barely real, whilst others identified it with the most real being of all: God.
Author : Jason M. Rampelt
Publisher :
ISBN 13 : 9789004409132
Total Pages : 0 pages
Book Rating : 4.4/5 (91 download)
Download or read book Distinctions of Reason and Reasonable Distinctions written by Jason M. Rampelt and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Wallis's autobiography : text and context -- Early life and education -- The foundation of a career -- Mathematical lecturer -- Doctor of Divinity -- Pedagogue, pastor, and protector -- Mathematical method -- The languages of philosophy.
Author : Vladimir I. Arnold
Publisher : Birkhäuser
ISBN 13 : 3034891296
Total Pages : 120 pages
Book Rating : 4.0/5 (348 download)
Download or read book Huygens and Barrow, Newton and Hooke written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
Author : Noah Bryan Rosenberger
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.F/5 ( download)
Download or read book The Place of the Elementary Calculus in the Senior High-school Mathematics written by Noah Bryan Rosenberger and published by . This book was released on 1921 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Neal
Publisher : Springer Science & Business Media
ISBN 13 : 940170077X
Total Pages : 182 pages
Book Rating : 4.4/5 (17 download)
Download or read book From Discrete to Continuous written by K. Neal and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways. This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.
Author : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.F/5 ( download)
Download or read book The Usefulness of Mathematical Learning Explained and Demonstrated written by Isaac Barrow and published by . This book was released on 1734 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.:/5 (89 download)
Download or read book The Works of Isaac Barrow written by Isaac Barrow and published by . This book was released on 1845 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.M/5 ( download)
Download or read book The Works of Isaac Barrow, D. D. written by Isaac Barrow and published by . This book was released on 1845 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)
Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author : John D. Barrow
Publisher : W. W. Norton & Company
ISBN 13 : 9780393061772
Total Pages : 636 pages
Book Rating : 4.0/5 (617 download)
Download or read book Cosmic Imagery written by John D. Barrow and published by W. W. Norton & Company. This book was released on 2008 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... a tour through the most influential images in science"--Jacket.
Author : Christoph J. Scriba
Publisher : Birkhäuser
ISBN 13 : 3034808984
Total Pages : 638 pages
Book Rating : 4.0/5 (348 download)
Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
Author : Isaac Barrow
Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.A/5 ( download)
Download or read book The Works of Dr. Isaac Barrow: Sermons written by Isaac Barrow and published by . This book was released on 1830 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
