A History of Greek Mathematics, Volume I
eBook - ePub

A History of Greek Mathematics, Volume I

From Thales to Euclid

Sir Thomas Heath

  1. 464 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

A History of Greek Mathematics, Volume I

From Thales to Euclid

Sir Thomas Heath

Book details
Table of contents

About This Book

`As it is, the book is indispensable; it has, indeed, no serious English rival.` — Times Literary Supplement.
`Sir Thomas Heath, foremost English historian of the ancient exact sciences in the twentieth century.` — Professor W. H. Stahl
`Indeed, seeing that so much of Greek is mathematics, it is arguable that, if one would understand the Greek genius fully, it would be a good plan to begin with their geometry.`
The perspective that enabled Sir Thomas Heath to understand the Greek genius — deep intimacy with languages, literatures, philosophy, and all the sciences — brought him perhaps closer to his beloved subjects and to their own ideal of educated men, than is common or even possible today. Heath read the original texts with a critical, scrupulous eye, and brought to this definitive two-volume history the insights of a mathematician communicated with the clarity of classically taught English.
`Of all the manifestations of the Greek genius none is more impressive and even awe-inspiring than that which is revealed by the history of Greek mathematics.` Heath records that history with the scholarly comprehension and comprehensiveness that marks this work as obviously classic now as when it first appeared in 1921. The linkage and unity of mathematics and philosophy suggest the outline for the entire history. Heath covers in sequence Greek numerical notation, Pythagorean arithmetic, Thales and Pythagorean geometry, Zeno, Plato, Euclid, Aristarchus, Archimedes, Apollonius, Hipparchus and trigonometry, Ptolemy, Heron, Pappus, Diophantus of Alexandria and the algebra. Interspersed are sections devoted to the history and analysis of famous problems: squaring the circle, angle trisection, duplication of the cube, and an appendix on Archimedes' proof of the subtangent property of a spiral. The coverage is everywhere thorough and judicious; but Heath is not content with plain exposition:
It is a defect in the existing histories that, while they state generally the contents of, and the main propositions proved in, the great treatises of Archimedes and Apollonius, they make little attempt to describe the procedure by which the results are obtained. I have therefore taken pains, in the most significant cases, to show the course of the argument in sufficient detail to enable a competent mathematician to grasp the method used and to apply it, if he will, to other similar investigations. 
Mathematicians, then, will rejoice to find Heath back in print and accessible after many years. Historians of Greek culture and science can renew acquaintance with a standard reference; readers in general will find, particularly in the energetic discourses on Euclid and Archimedes, exactly what Heath means by impressive and awe-inspiring.  

Frequently asked questions

How do I cancel my subscription?
Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is A History of Greek Mathematics, Volume I an online PDF/ePUB?
Yes, you can access A History of Greek Mathematics, Volume I by Sir Thomas Heath in PDF and/or ePUB format, as well as other popular books in Matematica & Storia e filosofia della matematica. We have over one million books available in our catalogue for you to explore.


Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. I. Introductory
  7. II. Greek Numerical Notation and Arithmetical Operations
  8. III. Pythagorean Arithmetic
  9. IV. The Earliest Greek Geometry. Thales
  10. V. Pythagorean Geometry
  11. VI. Progress in the Elements Down to Plato’s Time
  12. VII. Special Problems
  13. VIII. Zeno of Elea
  14. IX. PLATO
  15. X. From Plato to Euclid
  16. XI. Euclid
Citation styles for A History of Greek Mathematics, Volume I

APA 6 Citation

Heath, T. (2012). A History of Greek Mathematics, Volume I ([edition unavailable]). Dover Publications. Retrieved from https://www.perlego.com/book/113609/a-history-of-greek-mathematics-volume-i-from-thales-to-euclid-pdf (Original work published 2012)

Chicago Citation

Heath, Thomas. (2012) 2012. A History of Greek Mathematics, Volume I. [Edition unavailable]. Dover Publications. https://www.perlego.com/book/113609/a-history-of-greek-mathematics-volume-i-from-thales-to-euclid-pdf.

Harvard Citation

Heath, T. (2012) A History of Greek Mathematics, Volume I. [edition unavailable]. Dover Publications. Available at: https://www.perlego.com/book/113609/a-history-of-greek-mathematics-volume-i-from-thales-to-euclid-pdf (Accessed: 14 October 2022).

MLA 7 Citation

Heath, Thomas. A History of Greek Mathematics, Volume I. [edition unavailable]. Dover Publications, 2012. Web. 14 Oct. 2022.