The geometry of René Descartes : [with a facsimile of the first edition 1637

Felix Klein, Wooster Woodruff Beman, David Eugene Smith

This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849-1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry.DjVulibre:DjVu2TIFF2PDF,loss of text data and larger file sizes.Calibre:produces poorly formatted PDFs and may encounter parsing errorsDjVuToy:1. Maintain the original compression rate of DjVu files.2. Preserve the OCR metadata of DjVu documents.3. The software is very lightweight and completely free.4. Only for Windows DjVuToy Download:https://url26.ctfile.com/f/41895126-925895940-3a0fec?p=9167Password:9167 Leer más…

Descartes R.

lgli/M_Mathematics/MPop_Popular-level/Descartes R. Geometry of Rene Descartes (2ed., Dover, 1979)(fr)(en)(600dpi)(T)(256s)_MPop_.djvu Leer más…

Amir D. Aczel

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 has made our 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 by common consent the greatest mathematician in history, moved to Paris in search of this notebook-and eventually found it in the possession of Claude Clerselier, a friend of Descartes's. Liebniz 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. Liebniz's hastily scribbled notes are all we have today of Descartes's notebook.Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions will lead the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture. Leer más…

Archimedes; Sir Thomas Little Heath

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination. Unabridged reprint of the classic 1897 edition, with supplement of 1912. Leer más…

Frederick Charles Copleston

Conceived originally as a serious presentation of the development of philosophy for Catholic seminary students, Frederick Copleston's nine-volume A History Of Philosophy has journeyed far beyond the modest purpose ofВ В its author to universal acclaimas the best history of philosophy in English. Copleston, an Oxford Jesuit of immense erudition who once tangled with A.J. Ayer in a fabled debate about the existence of God and the possibility of metaphysics, knew that seminary students were fed a woefully inadequate diet of theses and proofs, and that their familiarity with most of history's great thinkers was reduced to simplistic caricatures.В В Copleston set out to redress the wrong by writing a complete history of Western philosophy, one crackling with incident and intellectual excitement - and one that gives full place to each thinker, presenting his thought in a beautifully rounded manner and showing his links to those who came after him. Leer más…

Desmond M. Clarke

Although René Descartes' (1596-1650) is best remembered today for writing "I think, therefore, I am," his unique contribution to the history of ideas was his effort to construct a philosophy that would be sympathetic to the new sciences that emerged in the seventeenth century. In four major publications, he fashioned a philosophical system that accommodated the needs of these new sciences, thereby earning the unrelenting hostility of both Catholic and Calvinist theologians, who relied on the scholastic philosophy that Descartes hoped to replace. His contemporaries claimed that his proofs of God's existence, in the Meditations, were so unsuccessful that he must have been a cryptic atheist, and that his discussion of skepticism served merely to fan the flames of libertinism. Although Descartes died in Stockholm in obscurity, he soon became one of the most famous philosophers of the seventeenth century, a status that he continues to enjoy today. This English-language biography addresses the complete range of Descartes' interests in theology, philosophy, and the sciences, and traces his intellectual development throughout his entire career. Desmond M. Clarke is Professor of Philosophy at University College Cork, Ireland, where he previously served as Dean of Arts and Vice-President. He is author of a number of books on Descartes and the seventeenth century, including Descartes' Philosophy of Science (1982), Occult Powers & Hypotheses (1989) and Descartes' Theory of Mind... Leer más…

Rene Descartes

When we further reflect on the various ideas that are in us, it is easy to perceive that there is not much difference among them, when we consider them simply as certain modes of thinking, but that they are widely different, considered in reference to the objects they represent; and that their causes must be so much the more perfect according to the degree of objective perfection contained in them. Leer más…

René Descartes, Stephen Gaukroger, Karl Ameriks, Desmond M. Clarke

Forget what you thought you learned in your freshman survey of Western philosophy about the Descartes whose thought so nicely compliments "the Matrix". Descartes spent a great deal of time in his other major works such as "The Discourse on Method", "The Principles of Philosophy", and even the "Meditations" trying to prepare his audiences for the mechanist theory he had already worked out in this work, which includes "The Treatise on Light "and "The Treatise on Man". My advice to you is to cut to the chase; this work is what Descartes was really about. "The World" was never published during Descartes's lifetime, having been suppressed after the 1633 condemnation of Galileo. In the first section, Descartes presents through the imaginary figure of a "new world" a mechanist explanation of the universe and its intricate system of vorticies, in which he does his best to refute both the seventeenth century atomist and the long-reigning Aristotelian Scholasticism's cosmological theories. Similarly, in the "The Treatise on Man", Descartes describes, through the heuristic of an imaginary automatist machine, the functions of the human body, including comprehensive accounts of sensation, the circulatory system, and the nervous system (what Descartes famously calls "the animal spirits"). The fact is, Descartes' metaphysics largely simplify Medieval accounts and just reiterate what every Jesuit would have been learning in school anyway. His mechanist physics is what was new and... Leer más…

René Descartes, John Cottingham, Bernard Williams

What Can Be Called Into Doubt -- The Nature Of The Human Mind, And How It Is Better Known Than The Body -- The Existence Of God -- Truth And Falsity -- The Essence Of Material Things, And The Existence Of God Considered A Second Time -- The Existence Of Material Things, And The Real Distinction Between Mind And Body. Selections From The Objections And Replies : The Rejection Of Previous Beliefs -- The Reliability Of The Senses -- The Dreaming Argument -- Centainty In Dreams -- Cogito Ergo Sum ('i Am Thinking, Therefore I Exist') -- Sum Res Cogitans ('i Am A Thinking Thing') -- The Nature Of Thought -- The Piece Of Wax -- Innate Ideas -- The Idea Of God -- Objective Reality -- God, Author Of My Existence -- The Cause Of Error -- The Indifference Of The Will -- Whether God's Essence Implies His Existence -- Clear And Distinct Perception And The 'cartesian Circle' -- The Real Distinction Between Mind And Body. René Descartes ; Translated And Edited By John Cottingham ; With An Introductory Essay By Bernard Williams And A New Introduction For This Edition By John Cottingham. Includes Bibliographical References (p. Xli-xlii) And Index. Leer más…

René Descartes, John Cottingham, Robert Stoothoff, Dugald Murdoch

These two volumes provide a completely new translation of the philosophical works of Descartes, based on the best available Latin and French texts. They are intended to replace the only reasonably comprehensive selection of his works in English, by Haldane and Ross, first published in 1911. All the works included in that edition are translated here, together with a number of additional texts crucial for an understanding of Cartesian philosophy, including important material from Descartes' scientific writings. The result should meet the widespread demand for an accurate and authoritative edition of Descartes' philosophical writings in clear and readable modern English. Leer más…

René Descartes, John Cottingham, Dugald Murdoch, Robert Stoothoff, Anthony Kenny

Volumes I and II provided a completely new translation of the philosophical works of Descartes, based on the best available Latin and French texts. Volume III contains 207 of Descartes' letters, over half of which have previously not been translated into English. It incorporates, in its entirety, Anthony Kenny's celebrated translation of selected philosophical letters, first published in 1970. In conjunction with Volumes I and II it is designed to meet the widespread demand for a comprehensive, authoritative and accurate edition of Descartes' philosophical writings in clear and readable modern English. Leer más…

Princess Elisabeth Of Bohemia And Rene Descartes; Edited And Translated By Lisa Shapiro

Annotation Between the years 1643 and 1649, Princess Elisabeth of Bohemia (1618-80) and René Descartes (1596-1650) exchanged fifty-eight letters--thirty-two from Descartes and twenty-six from Elisabeth. Their correspondence contains the only known extant philosophical writings by Elisabeth, revealing her mastery of metaphysics, analytic geometry, and moral philosophy, as well as her keen interest in natural philosophy. The letters are essential reading for anyone interested in Descartes's philosophy, in particular his account of the human being as a union of mind and body, as well as his ethics. They also provide a unique insight into the character of their authors and the way ideas develop through intellectual collaboration. Philosophers have long been familiar with Descartes's side of the correspondence. Now Elisabeth's letters--never before available in translation in their entirety--emerge this volume, adding much-needed context and depth both to Descartes's ideas and the legacy of the princess. Lisa Shapiro's annotated edition--which also includes Elisabeth's correspondence with the Quakers William Penn and Robert Barclay--will be heralded by students of philosophy, feminist theorists, and historians of the early modern period. Leer más…

Rene Descartes, Roger Ariew, Descartes, Rene, Ariew, Roger

A superb text for teaching the philosophy of Descartes, this volume includes all his major works in their entirety, important selections from his lesser known writings, and key selections from his philosophical correspondence. The result is an anthology that enables the reader to understand the development of Descartes's thought over his lifetime. Includes a biographical introduction, chronology, bibliography, and index. Leer más…

René Descartes

Is it possible to be certain of anything? If so, how? The father of modern philosophy and the founder of rational method in philosophical thought, René Descartes (1596–1650) sought the answers to these questions and in doing so, addressed the most important of methods of thinking and understanding truth. In he applies a scientific approach to philosophy that comprises four principles: to accept only what reason recognizes as "clear and distinct"; to analyze complex ideas by dividing them into smaller elements; to reconstruct the ideas; and to make accurate and complete enumerations of the data. His proceed according to this method, exploring the mind/body distinction, the nature of truth and error, the existence of God, and the essence of material things. Leer más…

René Descartes; Translated With An Introduction And Notes By Michael Moriarty

Here is a brilliant new translation of Descartes's Meditations , one of the most influential books in the history of Western philosophy, including the full texts of the Third and Fourth Objections and Replies, and a selection from the other exchanges. Discovering his own existence as a thinking entity in the very exercise of doubt--in the famous formulation cogito, ergo sum --Descartes goes on to develop new conceptions of body and mind, capable of serving as foundations for a new science of nature. Subsequent philosophy has grappled with Descartes's ideas, but his arguments set the agenda for many of the greatest philosophical thinkers, and their fascination endures. This new translation pays particular attention to Descartes's terminology and style, with its elaborate but beautifully lucid syntax, careful balancing, and rhetorical signposting. The wide-ranging introduction places the work in the intellectual context of the time and discusses the nature of the work, its structure, key issues, and its influence on later thinkers. The book also includes notes, an up-to-date bibliography, a chronology, and an index. About the Series: For over 100 years Oxford World's Classics has made available the broadest spectrum of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, voluminous notes to... Leer más…

Euclid, Sir Thomas Little Heath

An accessible, streamlined, and user-friendly approach to calculus Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure.Fernandez begins by offering an intuitive introduction to the three key ideas in calculus—limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources—including video tutorials and interactive graphs—are available on the book's website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions—these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics—chapter... Leer más…

David Eugene Smith

00000001......Page 1 00000002......Page 2 00000003......Page 3 00000004......Page 4 00000005......Page 5 00000006......Page 6 00000007......Page 7 00000008......Page 8 00000009......Page 9 00000010......Page 10 00000011......Page 11 00000012......Page 12 00000013......Page 13 00000014......Page 14 00000015......Page 15 00000016......Page 16 00000017......Page 17 00000018......Page 18 00000019......Page 19 00000020......Page 20 00000021......Page 21 00000022......Page 22 00000023......Page 23 00000024......Page 24 00000025......Page 25 00000026......Page 26 00000027......Page 27 00000028......Page 28 00000029......Page 29 00000030......Page 30 00000031......Page 31 00000032......Page 32 00000033......Page 33 00000034......Page 34 00000035......Page 35 00000036......Page 36 00000037......Page 37 00000038......Page 38 00000039......Page 39 00000040......Page 40 00000041......Page 41 00000042......Page 42 00000043......Page 43 00000044......Page 44 00000045......Page 45 00000046......Page 46 00000047......Page 47 00000048......Page 48 00000049......Page 49 00000050......Page 50 00000051......Page 51 00000052......Page 52 00000053......Page 53 00000054......Page 54 00000055......Page 55 00000056......Page 56 00000057......Page 57 00000058......Page 58 00000059......Page 59 00000060......Page 60 00000061......Page 61 00000062......Page 62 00000063......Page 63 00000064......Page 64 00000065......Page 65 00000066......Page 66 00000067......Page 67 00000068......Page... Leer más…

René Descartes; Translated By Donald A. Cress

This new edition contains Donald Cress's completely revised translation of the Meditations (from the corrected Latin edition) and recent corrections to Discourse on Method, bringing this version even closer to Descartes's original, while maintaining the clear and accessible style of a classic teaching edition. Leer más…

René Descartes

One of the most influential books ever written, Descartes' Discourse on the Method delves into some of the most basic and profound philosophical problems facing humanity. Follow this great mind through the logical processes that ultimately led him to conclude, "I think, therefore I am"—and to change Western philosophy forever in the process. Leer más…