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Selections Illustrating The History Of Greek Mathematics Volume I
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Book Synopsis Classics in the History of Greek Mathematics by : Jean Christianidis
Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
Book Synopsis Selections illustrating the history of Greek mathematics : in two volumes. 1. From Thales to Euclid by :
Download or read book Selections illustrating the history of Greek mathematics : in two volumes. 1. From Thales to Euclid written by and published by . This book was released on 1951 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Beginnings of Greek Mathematics by : A. Szabó
Download or read book The Beginnings of Greek Mathematics written by A. Szabó and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the 'Elements'. I hoped that this appendix, although different in some ways from the rest of the book, would serve to illustrate the kind of research which needs to be undertaken, if we are to acquire a new understanding of the historical development of Greek mathematics. It should perhaps be mentioned that this book is not intended to be an introduction to Greek mathematics for the general reader; its aim is to bring the problems associated with the early history of deductive science to the attention of classical scholars, and historians and philos ophers of science. I should like to conclude by thanking my translator, Mr. A. M. Ungar, who worked hard to produce something more than a mechanical translation. Much of his work was carried out during the year which I spent at Stanford as a fellow of the Center for Advanced Study in the Behavioral Sciences. This enabled me to supervise the work of transla tion as it progressed. I am happy to express my gratitude to the Center for providing me with this opportunity. Arpad Szabo NOTE ON REFERENCES The following books are frequently referred to in the notes. Unless otherwise stated, the editions are those given below. Burkert, W. Weisheit und Wissensclzaft, Studien zu Pythagoras, Philo laos und Platon, Nuremberg 1962.
Book Synopsis Selections Illustrating the History of Greek Mathematics by :
Download or read book Selections Illustrating the History of Greek Mathematics written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean by : Victor J. Katz
Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
Book Synopsis Greek Mathematical Thought and the Origin of Algebra by : Jacob Klein
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Book Synopsis The Renaissance and 17th Century Rationalism by : Prof G H R Parkinson
Download or read book The Renaissance and 17th Century Rationalism written by Prof G H R Parkinson and published by Taylor & Francis. This book was released on 2023-05-09 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth volume traces the history of Renaissance philosophy and seventeenth century rationalism, covering Descartes and the birth of modern philosophy.
Book Synopsis Dictionary of World Biography by : Frank Northen Magill
Download or read book Dictionary of World Biography written by Frank Northen Magill and published by Taylor & Francis. This book was released on 2003-01-23 with total page 1354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing 250 entries, each volume of theDictionary of World Biographycontains examines the lives of the individuals who shaped their times and left their mark on world history. Much more than a 'Who's Who', each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements, and conclude with a fully annotated bibliography. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. Any student in the field will want to have one of these as a handy reference companion.
Book Synopsis Galen, De diebus decretoriis, from Greek into Arabic by : Glen M. Cooper
Download or read book Galen, De diebus decretoriis, from Greek into Arabic written by Glen M. Cooper and published by Routledge. This book was released on 2017-03-02 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the first edition of the Arabic translation, by Hunayn ibn Ishaq, of Galen's Critical Days (De diebus decretoriis), together with the first translation of the text into a modern language. The substantial introduction contextualizes the treatise within the Greek and Arabic traditions. Galen's Critical Days was a founding text of astrological medicine. In febrile illnesses, the critical days are the days on which an especially severe pattern of symptoms, a crisis, was likely to occur. The crisis was thought to expel the disease-producing substances from the body. If its precise timing were known, the physician could prepare the patient so that the crisis would be most beneficial. After identifying the critical days based on empirical data and showing how to use them in therapy, Galen explains the critical days via the moon's influence. In the historical introduction Glen Cooper discusses the translation of the Critical Days in Arabic, and adumbrates its possible significance in the intellectual debates and political rivalries among the 9th-century Baghdad elite. It is argued that Galen originally composed the Critical Days both to confound the Skeptics of his own day and to refute a purely mathematical, rationalist approach to science. These features made the text useful in the rivalries between Baghdad scholars. Al-Kindi (d.c. 866) famously propounded a mathematical approach to science akin to the latter. The scholar-bureaucrat responsible for funding this translation, Muhammad ibn Musa (d. 873), al-Kindi's nemesis, may have found the treatise useful in refuting that approach. The commentary and notes to the facing page translation address issues of translation, as well as important concepts.
Book Synopsis A History of Mathematics by : Carl B. Boyer
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Book Synopsis A Mathematical History of the Golden Number by : Roger Herz-Fischler
Download or read book A Mathematical History of the Golden Number written by Roger Herz-Fischler and published by Courier Corporation. This book was released on 2013-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Book Synopsis A Mathematical History of Division in Extreme and Mean Ratio by : Roger Herz-Fischler
Download or read book A Mathematical History of Division in Extreme and Mean Ratio written by Roger Herz-Fischler and published by Wilfrid Laurier Univ. Press. This book was released on 1987 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constantin Carathéodory by : Maria Georgiadou
Download or read book Constantin Carathéodory written by Maria Georgiadou and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: With breathtaking detail, Maria Georgiadou sheds light on the work and life of Constantin Carathéodory, who until now has been ignored by historians. In her thought-provoking book, Georgiadou maps out the mathematician’s oeuvre, life and turbulent historical surroundings. Descending from the Greek élite of Constantinople, Carathéodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a lifetime to mathematics and education. He significantly contributed to: calculus of variations, the theory of point set measure, the theory of functions of a real variable, pdes, and complex function theory. An exciting and well-written biography, once started, difficult to put down.
Book Synopsis Logic for Applications by : Anil Nerode
Download or read book Logic for Applications written by Anil Nerode and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the recent dramatic growth in the applications of logic to computer science. Thus our choice of topics has been heavily influenced by such applications. Of course, we cover the basic traditional topics - syntax, semantics, soundness, completeness and compactness - as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much of our book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic, especially in its application to Logic Programming and PROLOG. We deal extensively with the mathematical foundations of all three of these subjects. In addition, we include two chapters on nonclassical logic- modal and intuitionistic - that are becoming increasingly important in computer science. We develop the basic material on the syntax and se mantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method introduced for classical logic. We indicate how it can easily be adapted to various other special types of modal log ics. A number of more advanced topics (including nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.
Book Synopsis Amazing Traces of a Babylonian Origin in Greek Mathematics by : Jran Friberg
Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the authorOCOs intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian OC metric algebra, OCO a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets. The bookOCOs use of OC metric algebra diagramsOCO in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract OC lettered diagramsOCO in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The authorOCOs comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics."
Book Synopsis Speusippus of Athens by : Leonardo Tarán
Download or read book Speusippus of Athens written by Leonardo Tarán and published by BRILL. This book was released on 1981 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Imagination and Art: Explorations in Contemporary Theory by : Keith Moser
Download or read book Imagination and Art: Explorations in Contemporary Theory written by Keith Moser and published by BRILL. This book was released on 2020-07-27 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This transdisciplinary project represents the most comprehensive study of imagination to date. The eclectic group of international scholars who comprise Imagination and Art propose bold and innovative theoretical frameworks for (re-) conceptualizing imagination in all of its divergent forms.
