बीजगणित और ज्यामिति का कालक्रम

मुक्त ज्ञानकोश विकिपीडिया से
नेविगेशन पर जाएँ खोज पर जाएँ

1000 ईसापूर्व से पहले

ईसा पूर्व प्रथम सहस्राब्दी

प्रथम सहस्राब्दी

  • ca. 340 — Pappus of Alexandria states his hexagon theorem and his centroid theorem
  • 500 — Aryabhata writes the “Aryabhata-Siddhanta”, which first introduces the trigonometric functions and methods of calculating their approximate numerical values. It defines the concepts of sine and cosine, and also contains the earliest tables of sine and cosine values (in 3.75-degree intervals from 0 to 90 degrees)
  • 600s — Bhaskara I gives a rational approximation of the sine function
  • 700sसाँचा:fixVirasena gives explicit rules for the Fibonacci sequence, gives the derivation of the volume of a frustum using an infinite procedure, and also deals with the logarithm to base 2 and knows its laws
  • 700sसाँचा:fixShridhara gives the rule for finding the volume of a sphere and also the formula for solving quadratic equations
  • 820 — Al-Mahani conceived the idea of reducing geometrical problems such as doubling the cube to problems in algebra.
  • ca. 900 — Abu Kamil of Egypt had begun to understand what we would write in symbols as <math>x^n \cdot x^m = x^{m+n}</math>
  • 975 — Al-Batani — Extended the Indian concepts of sine and cosine to other trigonometrical ratios, like tangent, secant and their inverse functions. Derived the formula: <math> \sin \alpha = \tan \alpha / \sqrt{1+\tan^2 \alpha} </math> and <math> \cos \alpha = 1 / \sqrt{1 + \tan^2 \alpha}</math>.

1000–1500

17वीं शताब्दी

18वीं शताब्दी

19th century

20वीं शताब्दी

21वीं शताब्दी


सन्दर्भ

  1. Arabic mathematics स्क्रिप्ट त्रुटि: "webarchive" ऐसा कोई मॉड्यूल नहीं है।, MacTutor History of Mathematics archive, University of St Andrews, Scotland
  2. Elizabeth A. Thompson, MIT News Office, Math research team maps E8 http://www.huliq.com/15695/mathematicians-map-e8 स्क्रिप्ट त्रुटि: "webarchive" ऐसा कोई मॉड्यूल नहीं है।