Treatise on Conic Sections
Author: Apollonius (of Perga.)
Publisher:
Published: 1896
Total Pages: 444
ISBN-13:
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Author: Apollonius (of Perga.)
Publisher:
Published: 1896
Total Pages: 444
ISBN-13:
DOWNLOAD EBOOKAuthor: Apollonius (of Perga.)
Publisher:
Published: 1939
Total Pages: 328
ISBN-13:
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Publisher: CUP Archive
Published:
Total Pages: 438
ISBN-13:
DOWNLOAD EBOOKAuthor: Apollonius of Perga
Publisher:
Published: 2013
Total Pages: 0
ISBN-13: 9781888009408
DOWNLOAD EBOOKA single volume that combines Conics Books I-III and Conics Book IV (both by Apollonius of Perga). It supersedes the two-volume edition.
Author: Michael Fried
Publisher: BRILL
Published: 2017-09-18
Total Pages: 512
ISBN-13: 9004350993
DOWNLOAD EBOOKThis 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.
Author: Apollonius (of Perga.)
Publisher:
Published: 2002
Total Pages: 114
ISBN-13:
DOWNLOAD EBOOKA first English translation of Book IV of Apollonius's Conics, translated and annotated by Michael N. Fried, as a companion volume to our edition of Conics Books I-III. Conics IV deals with the way pairs of conic sections can intersect or touch each other. In his Introduction to the translation, Fried shows that this book has been misappraised by scholars too much inclined to see Apollonius's work merely as a precursor to the analytic geometry of the seventeenth century. He writes, Playfulness is one of the real delights of Book IV. One can see in this playfulness the artful way Apollonius contends with the main challenge of the book -the problem of how the opposite sections, specifically, meet other sections of a cone and other opposite sections - how he gives this problem both foundation and context."
Author: Pergaeus Appolonius
Publisher:
Published: 1896
Total Pages: 440
ISBN-13:
DOWNLOAD EBOOKAuthor: John Tabak
Publisher: Infobase Publishing
Published: 2014-05-14
Total Pages: 241
ISBN-13: 0816068763
DOWNLOAD EBOOKGreek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years.
Author: Ekkehard Kopp
Publisher: Open Book Publishers
Published: 2020-10-23
Total Pages: 280
ISBN-13: 1800640978
DOWNLOAD EBOOKMaking up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author: Pergaeus Apollonius (v262-v190)
Publisher:
Published: 1896
Total Pages: 440
ISBN-13:
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