Apollonius of Perga - Treatise on Conic Sections

Apollonius of Perga - Treatise on Conic Sections

Author: Thomas Little Heath

Publisher: Carruthers Press

ISBN: 9781446021262

Category: Mathematics

Page: 426

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Despite being generally unknown to the greats of contemporary mathematics, Apollonius s Conics is said by Chasles to contain the most interesting properties of conics . Written by one of the great pioneers of geometry, this scarce text contains a comprehensive account of the mathematics of conics, and as such constitutes a valuable to addition to the libraries of serious mathematicians and historians alike. Apollonius of Perga was a Greek geometer and astronomer, most famous for his work pertaining to conic sections and whose methodology and terminology influenced such intellectual giants as Ptolemy, Johannes Kepler, Francesco Maurolico, Isaac Newton, and Rene Descartes. This rare text is proudly republished here with an introductory biography of the author."

Treatise on Conic Sections

Treatise on Conic Sections

Author: Apollonius of Perga

Publisher: Cambridge University Press

ISBN: 9781108062787

Category: Mathematics

Page: 435

View: 335

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Published in 1896, this translation of a classic work of Greek geometry uses modern notation and includes considerable introductory material.

Apollonius of Perga's Conica

Apollonius of Perga's Conica

Author: Michael Fried

Publisher: BRILL

ISBN: 9789004350991

Category: Literary Criticism

Page: 512

View: 102

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This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

Between Tradition and Innovation

Between Tradition and Innovation

Author: Ad J. Meskens

Publisher: BRILL

ISBN: 9789004447905

Category: Education

Page: 307

View: 124

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This book offers an analysis of the ground breaking mathematical work of Gregorio a San Vicente and his student and shows that the Flemish Jesuit Mathematics School had profound influence on mathematics in the seventeenth century.

Collineations and Conic Sections

Collineations and Conic Sections

Author: Christopher Baltus

Publisher: Springer Nature

ISBN: 9783030462871

Category: Mathematics

Page: 187

View: 708

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This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.

A History of Mathematics

A History of Mathematics

Author: Carl B. Boyer

Publisher: John Wiley & Sons

ISBN: 9780470525487

Category: Mathematics

Page: 688

View: 708

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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.

History of Analytic Geometry

History of Analytic Geometry

Author: Carl B. Boyer

Publisher: Courier Corporation

ISBN: 9780486154510

Category: Mathematics

Page: 304

View: 879

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Spinoza and German Idealism

Spinoza and German Idealism

Author: Eckart Förster

Publisher: Cambridge University Press

ISBN: 9781107021983

Category: History

Page: 299

View: 826

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An extensive examination of the profound impact of Spinoza's philosophy on the German Idealists.

Maimonides the Rationalist

Maimonides the Rationalist

Author: Herbert A. Davidson

Publisher: Liverpool University Press

ISBN: 9781909821033

Category: Religion

Page: 335

View: 352

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In his own estimation, Maimonides was neither exclusively a dedicated philosopher nor exclusively a devoted rabbinist: he saw philosophy and the Written and Oral Torahs as a single, harmonious domain, and he believed that this view was similarly fundamental to the lives of the prophets and rabbis of old. In this book, Herbert Davidson examines Maimonides’ efforts to reconstitute this all-embracing, rationalist worldview that he felt had been lost during the millennium-long exile.

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Author: Michael N. Fried

Publisher: Springer Science & Business Media

ISBN: 1461401461

Category: Mathematics

Page: 134

View: 721

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Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.