Download or read book Introduction to Arithmetic written by Nicomachus (of Gerasa.) and published by . This book was released on 1926 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nicomachus of Gerasa written by Louis C. Karpinski and published by . This book was released on 1926 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Brill s Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance written by Irene Caiazzo and published by BRILL. This book was released on 2021-11-22 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.
Download or read book Nicomachus of Gerasa Introduction to Arithmetic written by Nicomachus (Gerasenus.) and published by . This book was released on 1926 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nicomachus of Gerasa written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a biographical sketch of the Greek philosopher and mathematician Nicomachus of Gerasa (c.100 A.D.), presented by the School of Mathematics and Statistics of the University of Saint Andrews in Scotland. Notes that Nicomachus was one of the leading members of the Pythogareans School.
Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theology of Arithmetic written by Iamblichus and published by Red Wheel/Weiser. This book was released on 1988-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and cosmological symbolism of the first ten numbers. Its is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from ancient Greek, this important sourcework is indispensable for anyone intereted in Pythagorean though, Neoplatonism, or the symbolism of Numbers.
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.
Download or read book Commentary to Nicomachus Introduction to Arithmetic written by Asclepi (de Tral·les.) and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Arithmetic written by Nicomachus (of Gerasa.) and published by . This book was released on 1972 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Arithmetic written by Nicomachus (of Gerasa.) and published by . This book was released on 1989 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
Download or read book Mathematical Theologies written by David Albertson and published by . This book was released on 2014 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of theologians Thierry of Chartres (d. 1157) and Nicholas of Cusa (d. 1464) represent a lost history of momentous encounters between Christianity and Pythagorean ideas before the Renaissance. Their robust Christian Neopythagoreanism reconceived the Trinity and the Incarnation within the framework of Greek number theory, challenging our contemporary assumptions about the relation of religion and modern science. David Albertson surveys the slow formation of theologies of the divine One from the Old Academy through ancient Neoplatonism into the Middle Ages. Against this backdrop, Thierry of Chartres's writings stand out as the first authentic retrieval of Neopythagoreanism within western Christianity. By reading Boethius and Augustine against the grain, Thierry reactivated a suppressed potential in ancient Christian traditions that harmonized the divine Word with notions of divine Number. Despite achieving fame during his lifetime, Thierry's ideas remained well outside the medieval mainstream. Three centuries later Nicholas of Cusa rediscovered anonymous fragments of Thierry and his medieval readers, and drew on them liberally in his early works. Yet tensions among this collection of sources forced Cusanus to reconcile their competing understandings of Word and Number. Over several decades Nicholas eventually learned how to articulate traditional Christian doctrines within a fully mathematized cosmology-anticipating the situation of modern Christian thought after the seventeenth century. Mathematical Theologies skillfully guides readers through the newest scholarship on Pythagoreanism, the school of Chartres, and Cusanus, while revising some of the categories that have separated those fields in the past.
Download or read book Mathematics and the Divine written by T. Koetsier and published by Elsevier Science Limited. This book was released on 2004 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ? The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history. � Mathematics and man's quest for the Absolute � A selective history highlighting key figures, schools and trains of thought � An international team of historians presenting specific new findings as well as general overviews � Confronting and uniting otherwise compartmentalized information
Download or read book Brill s Companion to the Reception of Plato in Antiquity written by Harold Tarrant and published by BRILL. This book was released on 2018-04-03 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brill’s Companion to the Reception of Plato in Antiquity offers a comprehensive account of the ways in which ancient readers responded to Plato, as philosopher, as author, and more generally as a central figure in the intellectual heritage of Classical Greece, from his death in the fourth century BCE until the Platonist and Aristotelian commentators in the sixth century CE. The volume is divided into three sections: ‘Early Developments in Reception’ (four chapters); ‘Early Imperial Reception’ (nine chapters); and ‘Early Christianity and Late Antique Platonism’ (eighteen chapters). Sectional introductions cover matters of importance that could not easily be covered in dedicated chapters. The book demonstrates the great variety of approaches to and interpretations of Plato among even his most dedicated ancient readers, offering some salutary lessons for his modern readers too.
Download or read book A Companion to Byzantine Science written by and published by BRILL. This book was released on 2020-01-13 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science in Byzantium has rarely been systematically explored. A first of its kind, this collection of essays highlights the disciplines, achievements, and contexts of Byzantine science across the eleven centuries of the Byzantine empire. After an introduction on science in Byzantium and the 21st century, and a study of Christianization and the teaching of science in Byzantium, it offers a comprehensive and up-to-date survey of the scientific disciplines cultivated in Byzantium, from the exact to the natural sciences, medicine, polemology, and the occult sciences. The volume showcases the diversity and vivacity of the varied scientific endeavours in the Byzantine world across its long history, and aims to bring the field into broader conversations within Byzantine studies, medieval studies, and history of science. Contributors are Fabio Acerbi, Anne-Laurence Caudano, Gonzalo Andreotti Cruz, Katerina Ierodiakonou, Herve Inglebert, Stavros Lazaris, Divna Manolova, Maria K. Papathanassiou, Inmaculada Pérez Martín, Thomas Salmon, Ioannis Telelis, Anne Tihon, Alain Touwaide, Arnaud Zucker.
Download or read book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators written by Alexei Volkov and published by Springer. This book was released on 2019-01-11 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
