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The Geometry Of Rene Descartes
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Book Synopsis The Geometry of René Descartes by : René Descartes
Download or read book The Geometry of René Descartes written by René Descartes and published by Courier Corporation. This book was released on 2012-09-19 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.
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.
Book Synopsis Descartes' Dream by : Philip J. Davis
Download or read book Descartes' Dream written by Philip J. Davis and published by Courier Corporation. This book was released on 2005-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.
Book Synopsis Descartes on Polyhedra by : P. J. Federico
Download or read book Descartes on Polyhedra written by P. J. Federico and published by Springer Science & Business Media. This book was released on 1982-12 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present essay stems from a history of polyhedra from 1750 to 1866 written several years ago (as part of a more general work, not published). So many contradictory statements regarding a Descartes manuscript and Euler, by various mathematicians and historians of mathematics, were encountered that it was decided to write a separate study of the relevant part of the Descartes manuscript on polyhedra. The contemplated short paper grew in size, as only a detailed treatment could be of any value. After it was completed it became evident that the entire manuscript should be treated and the work grew some more. The result presented here is, I hope, a complete, accurate, and fair treatment of the entire manuscript. While some views and conclusions are expressed, this is only done with the facts before the reader, who may draw his or her own conclusions. I would like to express my appreciation to Professors H. S. M. Coxeter, Branko Griinbaum, Morris Kline, and Dr. Heinz-Jiirgen Hess for reading the manuscript and for their encouragement and suggestions. I am especially indebted to Dr. Hess, of the Leibniz-Archiv, for his assistance in connection with the manuscript. I have been greatly helped in preparing the translation ofthe manuscript by the collaboration of a Latin scholar, Mr. Alfredo DeBarbieri. The aid of librarians is indispensable, and I am indebted to a number of them, in this country and abroad, for locating material and supplying copies.
Book Synopsis The Scientific Work of René Descartes (1596-1650) by : J F (Joseph Frederick) Scott
Download or read book The Scientific Work of René Descartes (1596-1650) written by J F (Joseph Frederick) Scott and published by Hassell Street Press. This book was released on 2021-09-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Discourse on Method and Related Writings by : Rene Descartes
Download or read book Discourse on Method and Related Writings written by Rene Descartes and published by Penguin. This book was released on 2000-03-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is not enough to have a good mind; it is more important to use it well" René Descartes was a central figure in the scientific revolution of the seventeenth century. In his Discourse on Method he outlined the contrast between mathematics and experimental sciences, and the extent to which each one can achieve certainty. Drawing on his own work in geometry, optics, astronomy and physiology, Descartes developed the hypothetical method that characterizes modern science, and this soon came to replace the traditional techniques derived from Aristotle. Many of Descartes’ most radical ideas—such as the disparity between our perceptions and the realities that cause them—have been highly influential in the development of modern philosophy. This edition sets the Discourse on Method in the wider context of Descartes’ work, with the Rules for Guiding One’s Intelligence in Searching for the Truth (1628), extracts from The World (1633) and selected letters from 1636-9. A companion volume, Meditations and Other Metaphysical Writings, is also published in Penguin Classics.
Book Synopsis Meditations on First Philosophy by : René Descartes
Download or read book Meditations on First Philosophy written by René Descartes and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essential Mathematics for Computer Graphics fast by : John Vince
Download or read book Essential Mathematics for Computer Graphics fast written by John Vince and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works in the series (Essential Computer Animation fast and Essential Virtual Reality fast) and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Book Synopsis The Geometry of Rene Descartes by : René Descartes
Download or read book The Geometry of Rene Descartes written by René Descartes and published by Cosimo, Inc.. This book was released on 2007-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in English in 1925, The Geometry of Rene Descartes brings to audiences one of the most revolutionary works in mathematics since Euclid. Descartes changed the field of mathematics with his invetion of analytic geometry. He loved Euclid, because Euclidean geometry offered truth and certainty, and all of its conclusions were drawn from irrefutable axioms. Descartes wanted to have this kind of certainty in all areas of life, and so he sought to answer questions about the real world using algebra combined with geometry. This produced the Cartesian plane, which suddenly allowed equations to be graphed. It was a revolution. In this book, mathematicians can follow a true genius as he explains his mathematical principles and truths. -- from back cover.
Book Synopsis The Birth of Science by : Alex Ely Kossovsky
Download or read book The Birth of Science written by Alex Ely Kossovsky and published by Springer Nature. This book was released on 2020-08-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals the multi-generational process involved in humanity's first major scientific achievement, namely the discovery of modern physics, and examines the personal lives of six of the intellectual giants involved. It explores the profound revolution in the way of thinking, and in particular the successful refutation of the school of thought inherited from the Greeks, which focused on the perfection and immutability of the celestial world. In addition, the emergence of the scientific method and the adoption of mathematics as the central tool in scientific endeavors are discussed. The book then explores the delicate thread between pure philosophy, grand unifying theories, and verifiable real-life scientific facts. Lastly, it turns to Kepler’s crucial 3rd law and shows how it was derived from a mere six data points, corresponding to the six planets known at the time. Written in a straightforward and accessible style, the book will inform and fascinate all aficionados of science, history, philosophy, and, in particular, astronomy.
Book Synopsis A Short Account of the History of Mathematics by : Walter William Rouse Ball
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:
Book Synopsis The Fly on the Ceiling by : Julie Glass
Download or read book The Fly on the Ceiling written by Julie Glass and published by Random House Books for Young Readers. This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Geometry's Great Thinkers by : Bonnie Leech
Download or read book Geometry's Great Thinkers written by Bonnie Leech and published by The Rosen Publishing Group, Inc. This book was released on 2006-08-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces several mathematicians who contributed significantly to the history of geometry.
Book Synopsis Descartes's Secret Notebook by : Amir D. Aczel
Download or read book Descartes's Secret Notebook written by Amir D. Aczel and published by Crown. This book was released on 2006-10-10 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes (1596–1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook—and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages—which, though written in code, he amazingly deciphered there on the spot. Leibniz’s hastily scribbled notes are all we have today of Descartes’s notebook, which has disappeared. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.
Book Synopsis Meditations and Other Metaphysical Writings by : René Descartes
Download or read book Meditations and Other Metaphysical Writings written by René Descartes and published by Penguin UK. This book was released on 2003-08-28 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all the works of the man claimed by many as the father of modern philosophy, the MEDITATIONS, first published in 1641, must surely be Rene Descartes' masterpiece. This volume consists of not only a new translation of the original Latin text and the expanded objections and replies, but also includes selected correspondence and other metaphysical writings from the period 1641-49.
Book Synopsis Discourse on Method and Meditations by : Rene Descartes
Download or read book Discourse on Method and Meditations written by Rene Descartes and published by Courier Corporation. This book was released on 2003-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two works from the father of modern philosophy. In Discourse on Method, he formulated a scientific approach comprising four principles, including to accept only what reason recognizes as "clear and distinct." In Meditations, he explores the mind/body distinction, the nature of truth and error, the existence of God, and the essence of material things.
Book Synopsis From Cardano's Great Art to Lagrange's Reflections by : Jacqueline A. Stedall
Download or read book From Cardano's Great Art to Lagrange's Reflections written by Jacqueline A. Stedall and published by European Mathematical Society. This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
