history hindu mathematics source de bibhutibhushan datta (1 résultats)

Hardcover. Etat : As New. Contents: Vol. I: I. Numeral notation: 1. A glimpse of ancient India. 2. Hindus and mathematics. 3. Scope and development of Hindu mathematics. 4. Numeral terminology. 5. The development of numerical symbolism. 6. Kharosthi numerals. 7. Brahmi numerals. 8. The decimal place value system. 9. Persistence of the old system. 10. Word numerals. 11. Alphabetic notations. 12. The zero symbol. 13. The place value notation in Hindu literature. 14. Date of invention of the place value notation. 15. Hindu numerals in Arabia. 16. Hindu numerals in Europe. 17. Miscellaneous references to the Hindu numerals. 18. Tables. II. Arithmetic: 1. General survey. 2. Addition. 3. Subtraction. 4. Multiplication. 5. Division. 6. Square. 7. Cube. 8. Square root. 9. Cube root. 10. Checks on operations. 11. Fractions. 12. The rule of three. 13. Commercial problems. 14. Miscellaneous problems. 15. The mathematics of zero. Bibliography. Index. Vol. II: Algebra: 1. General features. 2. Technical terms. 3. Symbols. 4. Laws of signs. 5. Fundamentals operations. 6. Equations. 7. Linear equations in one unknown. 8. Linear equations with two unknowns. 9. Linear equations with several unknowns. 10. Quadratic equations. 11. Equations of higher degrees. 12. Simultaneous quadratic equations. 13. Indeterminate equations of the first degree. 14. One linear equation in more than two unknowns. 15. Simultaneous indeterminate than two unknowns. 15. Simultaneous indeterminate equations of the first degree. 16. Solution of Nx. 17. Cycle methods. 18. Solution of Nx2. 19. General indeterminate equations of the second degree: single equations. 20. Rational triangles. 21. Rational quadrilaterals. 22. Single INL terminate equations higher degrees. 23. Linear functions made square of cubes. 24. Double equations of the first degree. 25. Double equations of the second degree. 26. Double equations of higher degrees. 27. Multiple equations. 28. Solution of axy. Index. This book fills up a major deficiency in the organization of the complete history of Hindu Mathematics, by giving a comprehensive account of the growth and development of the science of mathematics in India from the earliest known times down to the seventeenth century of the Christian era. The first volume deals with the history of the numeral notations and of arithmetic. The second volume is devoted to algebra, a science in which the ancient Hindus made remarkable progress in the very early times. (jacket).