A Modern Introduction to Ancient Indian MathematicsNew Age International, 1993 - 214 pàgines The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava. |
Continguts
INTEGERS | 1 |
TOPICS IN SRI BHARATHI KRISHNA | 59 |
xii | 75 |
THE BRAHMAGUPTABHASKARA EQUATION | 103 |
SELECTED TOPICS IN GEOMETRY | 155 |
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A Modern Introduction to Ancient Indian Mathematics T.S. Bhanumurthy,T. S. Bhanu Murthy Previsualització no disponible - 2009 |
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a(mod a₁ Accordingly Aghana an+1 Aryabhata b(mod b₁ b₂ Bharathi Krishna Bhaskara Bhaskara II Brahmagupta C₁ Carana Padhati Chakravala Chakravala method circle circumference common divisor complete quotients computations congruence Consequently continued fraction expansion convergents coprime cosine cube root cyclic quadrilateral Da² decimal expansion Denote divided divisible equation Dx² Example factor Fermat's h₁ h₂ Hence Hypotenuse Hypotenuse Theorem implies induction infinite series last digit least positive residues Lemma m₁ modulus multiplied mutually coprime obtain odd numbers P₁ positive integers prime numbers prove Pythagorean triple q₁ quote quotient r₁ r₂ radius rational approximation recurring decimal remainder Remark residues mod sequence simple continued fraction sine square subtract Sulbasutras t₁ Tantra triangle VEDIC MATHEMATICS verse whence follows x₁ y₁ yields δι