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Author : Open University
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.0/5 ( download)
Download or read book Arts/Mathematics: Newton and Leibniz written by Open University and published by . This book was released on 1974 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Margaret E. Baron
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.E/5 ( download)
Download or read book Newton and Leibniz written by Margaret E. Baron and published by . This book was released on 1974 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jason Socrates Bardi
Publisher : Basic Books
ISBN 13 : 0786733640
Total Pages : 226 pages
Book Rating : 4.7/5 (867 download)
Download or read book The Calculus Wars written by Jason Socrates Bardi and published by Basic Books. This book was released on 2009-04-29 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz. Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret. This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.
Author : Niccolò Guicciardini
Publisher : MIT Press
ISBN 13 : 0262013177
Total Pages : 449 pages
Book Rating : 4.2/5 (62 download)
Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolò Guicciardini and published by MIT Press. This book was released on 2009 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.
Author : Lynn Gamwell
Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)
Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Author : Isaac Newton
Publisher : Univ of California Press
ISBN 13 : 9780520009295
Total Pages : 292 pages
Book Rating : 4.0/5 (92 download)
Download or read book Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World written by Isaac Newton and published by Univ of California Press. This book was released on 1962-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: I consider philosophy rather than arts and write not concerning manual but natural powers, and consider chiefly those things which relate to gravity, levity, elastic force, the resistance of fluids, and the like forces, whether attractive or impulsive; and therefore I offer this work as the mathematical principles of philosophy.In the third book I give an example of this in the explication of the System of the World. I derive from celestial phenomena the forces of gravity with which bodies tend to the sun and other planets.
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 : Open University. Faculty of Arts
Publisher :
ISBN 13 : 9780335050024
Total Pages : pages
Book Rating : 4.0/5 (5 download)
Download or read book History of Mathematics. 21v written by Open University. Faculty of Arts and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Jarvis
Publisher : Brush Education
ISBN 13 : 1550593986
Total Pages : 338 pages
Book Rating : 4.5/5 (55 download)
Download or read book Exploring the Math and Art Connection written by Daniel Jarvis and published by Brush Education. This book was released on 2012 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Daniel Jarvis and Irene Naested highlight the natural association between math and art in a series of practical ideas for the classroom, because when students understand the math/art connection, their understanding and confidence increase in both subjects. Through innovative teaching strategies and more than 100 rich learning experiences, Jarvis and Naested give teachers a wealth of engaging tools to explore the math/art connection with their own students. This connection is established through examinations of natural and human-designed objects, from how pine cone scales spiral out in a Fibonacci sequence to how geometric shapes combine in architecture to form some of the most beautiful structures on the planet.
Author : Open University
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.0/5 ( download)
Download or read book Arts/Mathematics: The calculus written by Open University and published by . This book was released on 1975 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph K. Blitzstein
Publisher : CRC Press
ISBN 13 : 1466575573
Total Pages : 599 pages
Book Rating : 4.4/5 (665 download)
Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Author : Jerry P. King
Publisher : Courier Corporation
ISBN 13 : 0486450201
Total Pages : 322 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Art of Mathematics written by Jerry P. King and published by Courier Corporation. This book was released on 2006-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, concise, and superbly written, this book reveals the beauty at the heart of mathematics, illustrating the fundamental connection between aesthetics and mathematics. "Witty, trenchant, and provocative." ? Mathematical Association of America.
Author : W.M. Priestley
Publisher : Springer Science & Business Media
ISBN 13 : 1461216583
Total Pages : 420 pages
Book Rating : 4.4/5 (612 download)
Download or read book Calculus: A Liberal Art written by W.M. Priestley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.
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 : 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 : Open University
Publisher :
ISBN 13 : 9780335050000
Total Pages : pages
Book Rating : 4.0/5 (5 download)
Download or read book History of Mathematics written by Open University and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1139497758
Total Pages : 1139 pages
Book Rating : 4.1/5 (394 download)
Download or read book Sources in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2011-06-13 with total page 1139 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
