Euclid's Phaenomena

A Translation and Study of a Hellenistic Treatise in Spherical Astronomy

Author: Euclid,J. L. Berggren,Robert S. D. Thomas

Publisher: American Mathematical Soc.

ISBN: 082184072X

Category: Mathematics

Page: 132

View: 5479

This book contains a translation and study of ""Euclid's Phaenomena"", a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of ""Ptolemy's Almagest"".""The Phaenomena"" itself begins with an introduction (possibly not by Euclid) followed by eighteen propositions set out in geometrical style about how arcs of the zodiacal circle move across the sky. The astronomical application is to the small arc of that circle occupied by the Sun, but the Sun is not mentioned. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with ""Euclid's Optics"", one has the beginnings of the history of science as an application of mathematics.
Posted in Mathematics

Science and Mathematics in Ancient Greek Culture

Author: Christopher Tuplin

Publisher: Oxford University Press on Demand

ISBN: 9780198152484

Category: History

Page: 379

View: 8995

Ancient Greece was the birthplace of science, which developed in the Hellenized culture of ancient Rome. This book, written by seventeen international experts, examines the role and achievement of science and mathematics in Greek antiquity through discussion of the linguistic, literary, political, religious, sociological, and technological factors which influenced scientific thought and practice. It locates science within ancient Greek society and culture, investigates its impact upon that society, and identifies it as a cultural phenomenon deserving no less attention than literary or artistic creativity.
Posted in History

From Alexandria, Through Baghdad

Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren

Author: Nathan Sidoli,Glen Van Brummelen

Publisher: Springer Science & Business Media

ISBN: 3642367364

Category: Mathematics

Page: 583

View: 5065

This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.
Posted in Mathematics

Geminos's Introduction to the Phenomena

A Translation and Study of a Hellenistic Survey of Astronomy

Author: James Evans,J. Lennart Berggren

Publisher: Princeton University Press

ISBN: 0691187150

Category: Science

Page: N.A

View: 854

Posted in Science

History of Western Philosophy

Collectors Edition

Author: Bertrand Russell

Publisher: Routledge

ISBN: 1135692912

Category: Philosophy

Page: 728

View: 8020

Now in a special gift edition, and featuring a brand new foreword by Anthony Gottlieb, this is a dazzlingly unique exploration of the works of significant philosophers throughout the ages and a definitive must-have title that deserves a revered place on every bookshelf.
Posted in Philosophy

Brill's New Pauly

encyclopaedia of the ancient world. Antiquity

Author: Hubert Cancik,Helmuth Schneider,Christine F. Salazar,David E. Orton

Publisher: Brill Academic Pub

ISBN: 9789004122680

Category: Reference

Page: 598

View: 1532

If you have already purchased volumes of Brill's New Pauly, please click here to register your purchase and ensure that you will receive the latest information about publication schedules and pricing for all future volumes.
Posted in Reference

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6797

Posted in Mathematics

Logic and Knowledge

Author: Carlo Cellucci,Emily Grosholz,Emiliano Ippoliti

Publisher: Cambridge Scholars Pub

ISBN: N.A

Category: Philosophy

Page: 447

View: 8792

The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VIVII of Platos Republic and Aristotles Prior and Posterior Analytics, to Kants Critique of Pure Reason and Mills A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers by Bertrand Russell (Logic and Knowledge. Essays, 19011950). However, it has remained an underdeveloped theme in the last century, because logic has been treated as separate from knowledge. This book does not hope to make up for a century-long absence of discussion. Rather, its ambition is to call attention to the theme and stimulating renewed reflection upon it. The book collects essays of leading figures in the field and it addresses the theme as a topic of current debate, or as a historical case study, or when appropriate as both. Each essay is followed by the comments of a younger discussant, in an attempt to transform what might otherwise appear as a monologue into an ongoing dialogue; each section begins with an historical essay and ends with an essay by one of the editors.
Posted in Philosophy

Euclid's Elements

all thirteen books complete in one volume : the Thomas L. Heath translation

Author: Euclid,Dana Densmore

Publisher: Green Lion Pr

ISBN: N.A

Category: Mathematics

Page: 499

View: 880

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.
Posted in Mathematics

A History of Astronomy

Author: Anton Pannekoek

Publisher: Courier Corporation

ISBN: 0486659941

Category: Science

Page: 521

View: 4859

Well-balanced, carefully reasoned study covers such topics as Ptolemaic theory, work of Copernicus, Kepler, Newton, Eddington's work on stars, much more. Illustrated. References.
Posted in Science

A History of Science

Index

Author: Henry Smith Williams,Edward Huntington Williams

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 8586

Posted in Science

The Mathematics of the Heavens and the Earth

The Early History of Trigonometry

Author: Glen Van Brummelen

Publisher: Princeton University Press

ISBN: 9780691129730

Category: Mathematics

Page: 329

View: 2689

"There does not seem to have been a book-length history of trigonometry in English before this fine book. Van Brummelen takes us from the unnamed Egyptians and Babylonians who created trigonometry to the subject's first few centuries in Europe. In between, he deftly traces how it was studied by the astronomers Hipparchus and Ptolemy in classical Greece, and later by a host of scholars in India and the Islamic world."--John H. Conway, coauthor of "The Book of Numbers" "This book is the first detailed history of trigonometry in more than half a century, and it far surpasses any earlier attempts. "The Mathematics of the Heavens and the Earth" is an extremely important contribution to scholarship. It will be the definitive history of trigonometry for years to come. There is nothing like this out there."--Victor J. Katz, professor emeritus, University of the District of Columbia "A pleasure to read. "The Mathematics of the Heavens and the Earth" is destined to become the standard reference on the history of trigonometry for the foreseeable future. Although other authors have attempted to tell the story, I know of no other book that has either the breadth or the depth of this one. Van Brummelen is one of the leading experts in the world on this subject."--Dennis Duke, Florida State University "Van Brummelen presents a history of trigonometry from the earliest times to the end of the sixteenth century. He has produced a work that rises to the highest standards of scholarship but never strays into pedantry. His extensive bibliography cites every work of consequence for the history of trigonometry, copious footnotes and diagrams illuminate the text, and reproductions from old printed works add interest and texture to the narrative."--J. Lennart Berggren, professor emeritus, Simon Fraser University "This book presents, for the first time in more than a century, a concise history of plane and spherical trigonometry, an important field within applied mathematics. It will appeal to a wide audience thanks to the pleasant style in which it is written, but at the same time it adheres to a very high scholarly standard."--Benno van Dalen, Ludwig Maximilians University, Munich
Posted in Mathematics

The Archimedes Palimpsest

Author: Reviel Netz,William Noel,Nigel Wilson,Natalie Tchernetska

Publisher: Cambridge University Press

ISBN: 9781107014374

Category: History

Page: 352

View: 5369

The Archimedes Palimpsest is the name given to a Byzantine prayer-book which was written over a number of earlier manuscripts. This volume provides colour images and transcriptions of three of the texts recovered from it. Pride of place goes to the treatises of Archimedes, including the only Greek version of Floating Bodies, and the unique copies of Method and Stomachion. This transcription provides many different readings from those made by Heiberg from what he termed Codex C in his edition of the works of Archimedes of 1910-1915. Secondly, fragments of two previously unattested speeches by the Athenian orator Hyperides, which are the only Hyperides texts ever to have been found in a codex. Thirdly, a fragment from an otherwise unknown commentary on Aristotle's Categories. In each case advanced image-processing techniques have been used to create the images, in order to make the text underneath legible.
Posted in History

Encyclopedia of the History of Arabic Science

Author: Roshdi Rashed

Publisher: Routledge

ISBN: 1134977239

Category: History

Page: 1242

View: 4614

The Arabic contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arabic Science documents the history and philosophy of Arabic science from the earliest times to the present day. The set as a whole covers seven centuries. Thirty chapters, written by an international team of specialists from Europe, America, the Middle East and Russia cover such areas as astronomy, mathematics, music, engineering, nautical science and scientific institutions.
Posted in History

Forthcoming Books

Author: Rose Arny

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 450

Posted in American literature

Aristarchus of Samos, the Ancient Copernicus

A History of Greek Astronomy to Aristarchus, Together with Aristarchus's Treatise on the Sizes and Distances of the Sun and Moon

Author: Thomas Heath

Publisher: Cambridge University Press

ISBN: 1108062334

Category: Mathematics

Page: 440

View: 7678

Prefaced by a history of ancient Greek astronomy, this 1913 edition of Aristarchus' only surviving treatise includes a facing-page translation.
Posted in Mathematics