Download or read book Combinatorics Ancient Modern written by Robin Wilson and published by OUP Oxford. This book was released on 2013-06-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.
Download or read book Leibniz New Essays on Human Understanding written by Gottfried Wilhelm Freiherr von Leibniz and published by Cambridge University Press. This book was released on 1996-11-07 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the New Essays on Human Understanding, Leibniz argues chapter by chapter with John Locke's Essay Concerning Human Understanding, challenging his views about knowledge, personal identity, God, morality, mind and matter, nature versus nurture, logic and language, and a host of other topics. The work is a series of sharp, deep discussions by one great philosopher of the work of another. Leibniz's references to his contemporaries and his discussions of the ideas and institutions of the age make this a fascinating and valuable document in the history of ideas. The work was originally written in French, and the version by Peter Remnant and Jonathan Bennett, based on the only reliable French edition (published in 1962), first appeared in 1981 and has become the standard English translation. It has been thoroughly revised for this series and provided with a new and longer introduction, a chronology on Leibniz's life and career and a guide to further reading.
Download or read book Discrete Encounters written by Craig Bauer and published by CRC Press. This book was released on 2020-05-14 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated
Download or read book Studia Leibnitiana written by and published by . This book was released on 1976 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertatio de Arte Combinatoria In Qua Ex Arithmeticae Fundamentis written by Gottfried Wilhelm Leibniz and published by Hachette Livre - Bnf. This book was released on 2012-03 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dissertatio de arte combinatoria , in qua, ex arithmeticae fundamentis, complicationum ac transpositionum doctrina novis praeceptis exstruitur et usus ambarum per universum scientiarum orbem ostenditur... Autore Gottfredo Guilielmo Leibnuzio,...Date de l'edition originale : 1666Ce livre est la reproduction fidele d'une oeuvre publiee avant 1920 et fait partie d'une collection de livres reimprimes a la demande editee par Hachette Livre, dans le cadre d'un partenariat avec la Bibliotheque nationale de France, offrant l'opportunite d'acceder a des ouvrages anciens et souvent rares issus des fonds patrimoniaux de la BnF.Les oeuvres faisant partie de cette collection ont ete numerisees par la BnF et sont presentes sur Gallica, sa bibliotheque numerique.En entreprenant de redonner vie a ces ouvrages au travers d'une collection de livres reimprimes a la demande, nous leur donnons la possibilite de rencontrer un public elargi et participons a la transmission de connaissances et de savoirs parfois difficilement accessibles.Nous avons cherche a concilier la reproduction fidele d'un livre ancien a partir de sa version numerisee avec le souci d'un confort de lecture optimal. Nous esperons que les ouvrages de cette nouvelle collection vous apporteront entiere satisfaction.Pour plus d'informations, rendez-vous sur www.hachettebnf.frhttp://gallica.bnf.fr/ark:/12148/bpt6k625780
Download or read book Descartes s Concept of Mind written by Lilli Alanen and published by Harvard University Press. This book was released on 2009-07-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descartes's concept of the mind, as distinct from the body with which it forms a union, set the agenda for much of Western philosophy's subsequent reflection on human nature and thought. This is the first book to give an analysis of Descartes's pivotal concept that deals with all the functions of the mind, cognitive as well as volitional, theoretical as well as practical and moral. Focusing on Descartes's view of the mind as intimately united to and intermingled with the body, and exploring its implications for his philosophy of mind and moral psychology, Lilli Alanen argues that the epistemological and methodological consequences of this view have been largely misconstrued in the modern debate. Informed by both the French tradition of Descartes scholarship and recent Anglo-American research, Alanen's book combines historical-contextual analysis with a philosophical problem-oriented approach. It seeks to relate Descartes's views on mind and intentionality both to contemporary debates and to the problems Descartes confronted in their historical context. By drawing out the historical antecedents and the intellectual evolution of Descartes's thinking about the mind, the book shows how his emphasis on the embodiment of the mind has implications far more complex and interesting than the usual dualist account suggests.
Download or read book Descartes An Intellectual Biography written by Stephen Gaukroger and published by Clarendon Press. This book was released on 1995-03-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes (1596-1650) is the father of modern philosophy, and one of the greatest of all thinkers. This is the first intellectual biography of Descartes in English; it offers a fundamental reassessment of all aspects of his life and work. Stephen Gaukroger, a leading authority on Descartes, traces his intellectual development from childhood, showing the connections between his intellectual and personal life and placing these in the cultural context of seventeenth century Europe. Descartes' early work in mathematics and science produced ground breaking theories, methods, and tools still in use today. This book gives the first full account of how this work informed and influenced the later philosophical studies for which, above all, Descartes is renowned. Not only were philosophy and science intertwined in Descartes' life; so were philosophy and religion. The Church of Rome found Galileo guilty of heresy in 1633; two decades earlier, Copernicus' theories about the universe had been denounced as blasphemous. To avoid such accusations, Descartes clothed his views about the relation between God and humanity, and about the nature of the universe, in a philosophical garb acceptable to the Church. His most famous project was the exploration of the foundations of human knowledge, starting from the proof of one's own existence offered in the formula Cogito ergo sum, `I am thinking therefore I exist'. Stephen Gaukroger argues that this was not intended as an exercise in philosophical scepticism, but rather to provide Descartes' scientific theories, influenced as they were by Copernicus and Galileo, with metaphysical legitimation. This book offers for the first time a full understanding of how Descartes developed his revolutionary ideas. It will be welcomed by all readers interested in the origins of modern thought.
Download or read book Descartes and Augustine written by Stephen Menn and published by Cambridge University Press. This book was released on 2002-01-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic study of Descartes' relation to Augustine. It offers a complete reevaluation of Descartes' thought and as such will be of major importance to all historians of medieval, neo-Platonic, or early modern philosophy. Stephen Menn demonstrates that Descartes uses Augustine's central ideas as a point of departure for a critique of medieval Aristotelian physics, which he replaces with a new, mechanistic anti-Aristotelian physics. Special features of the book include a reading of the Meditations, a comprehensive historical and philosophical introduction to Augustine's thought, a detailed account of Plotinus, and a contextualization of Descartes' mature philosophical project which explores both the framework within which it evolved and the early writings, to show how the collapse of the early project drove Descartes to the writings of Augustine.
Download or read book Descartes written by Geneviève Rodis-Lewis and published by Cornell University Press. This book was released on 1999 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This major intellectual biography illuminates the personal and historical events of Descartes's life, from his birth and early years in France to his death in Sweden, his burial, and the fate of his remains. Concerned not only with historical events but also with the development of Descartes's personality, Rodis-Lewis speculates on the effect childhood impressions may have had on his philosophy and scientific theories. She considers in detail his friendships, particularly with Isaac Beeckman and Marin Mersenne. Primarily on the basis of his private correspondence, Rodis-Lewis gives a thorough and balanced discussion of his personality. The Descartes she depicts is by turns generous and unforgiving, arrogant and open-minded, loyal in his friendships but eager for the isolation his work required. Drawing on Descartes's writings and his public and private correspondence, she corrects the errors of earlier biographies and clarifies many obscure episodes in the philosopher's life.
Download or read book Descartes Natural Philosophy written by Stephen Gaukroger and published by Routledge. This book was released on 2003-08-27 with total page 1464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive collection of essays on Descartes' scientific writings ever published, this volume offers a detailed reassessment of Descartes' scientific work and its bearing on his philosophy. The 35 essays, written by some of the world's leading scholars, cover topics as diverse as optics, cosmology and medicine, and will be of vital interest to all historians of philosophy or science.
Download or read book A Serious Proposal to the Ladies written by Mary Astell and published by . This book was released on 1701 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Descartes s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2003-11-30 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Download or read book The Ethics of Geometry written by David Rapport Lachterman and published by . This book was released on 1989 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a wide-ranging study of the relationship between philosophy and mathematics, Lachterman discussing the importance of construction from Euclid to Kant and his successors.
Download or read book Leibniz written by Gottfried Wilhelm Freiherr von Leibniz and published by . This book was released on 2020 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first full English translation, with a critical introduction and a comprehensive commentary, of the Dissertation on Combinatorial Art (1666), in which Leibniz introduces some of his most important ideas in philosophy, logic, and mathematics.
Download or read book Philosophy and Its History written by Jorge J. E. Gracia and published by SUNY Press. This book was released on 1992-01-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic and comprehensive treatment of issues involved in philosophical historiography. It deals with such topics as the relation of philosophy to its history, the role of value judgments in historical accounts, the value of the history of philosophy for philosophy, the nature and role of texts and their interpretation in the history of philosophy, historiographical method, and the stages of development of philosophical progress. The book defends two main theses. The first is that the history of philosophy must be done philosophically, that is, it must include philosophical judgments. The second is that one way to bring a rapprochement between Anglo-American and Continental philosophy is through the study of the history of philosophy and its historiography. An extensive bibliography of pertinent materials and detailed indexes close the book.
Download or read book The Analytic Art written by François Viète and published by Courier Corporation. This book was released on 2006-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
