Details

Autor(en) / Beteiligte

• Puttaswamy, T. K

Titel

Mathematical achievements of pre-modern Indian mathematicians [electronic resource]

Ist Teil von

• Elsevier insights Mathematical achievements of pre-modern Indian mathematicians

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record
• Includes bibliographical references
• Arithmetic ProgressionIndeterminate Equation of the First Degree; Astronomy; Revolutions of Heavenly Bodies; 6 Varahamihira and Bhaskara I; Varahamihira; Bhaskara I; Solution to the Problem of Remainders; Formula for the Base, Altitude and Area of the Triangle; Examples from Bhaskara I's Commentary on "Aryabhatiyam"; Approximate Formula for Calculating H Sine (Alpha) of an Acute Angle; 7 Brahmagupta; Vargaprakrti; Brahmagupta's Lemma 1; Brahmagupta's Corollary; Brahmagupta's Lemma 2; Linear Equations with Several Unknowns; Quadratic Equations; Astronomical Problem; Quadrilateral
• Theorem on "Abadhas" (Brahmagupta)Theorem on the Circum Radius of a Triangle (Brahmagupta); Brahmagupta's Solution for the Rational Isosceles Triangle; To Construct a Rational Scalene Triangle (Brahmagupta); Construction of Cyclic Quadrilateral with Rational Sides; To Construct a Rational Isosceles Trapezium; Inscribed Quadrilaterals; The Formula for the Volume of a Pyramid (Brahmagupta); Frustum; Circum Radius of an Isosceles Trapezium; Shadow Problems; Interpolation Formula; 8 Sridhara and Prthudakaswami Caturveda; Date of Compositions of Sridhara; Solution to Quadratic Equation
• Sridhara's method "Caturāhatavargasamai rūpaih paksadvayam gunayet, sanskrti verse Avyaktavargarūpairyuktan paksau tato mūlam"Application of the Quadratic Formula in Arithmetic Progression; Prthudakaswami Caturveda; Solution of a Remainder Problem Involving Simultaneous Indeterminate Equations; Rational Isosceles Triangle with a Given Altitude; An Example of Constructing an Integral Isosceles Triangle; Rational Scalene Triangle with a Given Altitude; An Example of Constructing an Integral Scalene Triangle; An Example of Constructing an Integral Isosceles Trapezium; 9 Mahavira; Arithmetic
• Garland Numbers
• Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contribut
• English