The Ancient Tradition Of Geometric Problems
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The Ancient Tradition Of Geometric Problems
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Author : Wilbur Richard Knorr
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
The Ancient Tradition Of Geometric Problems written by Wilbur Richard Knorr and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.
The Ancient Tradition Of Geometric Problems Pt 1
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Author : Knorr
language : en
Publisher:
Release Date : 1987-01-01
The Ancient Tradition Of Geometric Problems Pt 1 written by Knorr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with categories.
Apollonius Of Perga S Conica
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Author : Michael Fried
language : en
Publisher: BRILL
Release Date : 2017-09-18
Apollonius Of Perga S Conica written by Michael Fried and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Literary Criticism categories.
This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica. It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum. The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica, both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.
A History Of Analysis
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Author : Hans Niels Jahnke
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
A History Of Analysis written by Hans Niels Jahnke and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Using The Mathematics Literature
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Author : Kristine K. Fowler
language : en
Publisher: CRC Press
Release Date : 2004-05-25
Using The Mathematics Literature written by Kristine K. Fowler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-25 with Language Arts & Disciplines categories.
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
Textual Studies In Ancient And Medieval Geometry
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Author : W.R. Knorr
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Textual Studies In Ancient And Medieval Geometry written by W.R. Knorr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.
The History Of Mathematical Proof In Ancient Traditions
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Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-05
The History Of Mathematical Proof In Ancient Traditions written by Karine Chemla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-05 with Philosophy categories.
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.
The Analytic Turn
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Author : Michael Beaney
language : en
Publisher: Routledge
Release Date : 2010-12-22
The Analytic Turn written by Michael Beaney and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-22 with Philosophy categories.
This collection, with contributions from leading philosophers, places analytic philosophy in a broader context comparing it with the methodology of its most important rival tradition in twentieth-century philosophy--phenomenology, whose development parallels the development of analytic philosophy in many ways. The Analytic Turn will be of great interest to historians of philosophy generally, analytic philosophers, and phenomenologists.
Classics In The History Of Greek Mathematics
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Author : Jean Christianidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Classics In The History Of Greek Mathematics written by Jean Christianidis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
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.
The Ancient World
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Author : Frank N. Magill
language : en
Publisher: Routledge
Release Date : 2003-12-16
The Ancient World written by Frank N. Magill and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-16 with Reference categories.
Containing 250 entries, each volume of the Dictionary of World Biography contains 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.