History of Hindu Mathematics: A Source Book; 2 Volumes > Datta, Bibhutibhushan & Singh, Avadhesh Narayan

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History of Hindu Mathematics: A Source Book; 2 Volumes

Datta, Bibhutibhushan & Singh, Avadhesh Narayan

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	Book ID : 35201
	ISBN-10 : 81-212-4972-4 / 8121249724
	ISBN-13 : 978-81-212-4972-0 / 9788121249720
	Place of Publication : Delhi
	Year of Publication : 2021
	Edition : (Reprint)
	Language : English
	xxxvi, 575p., Index, 23 cm.

CONTENTS

CONTENTS:-

VOLUME I: NUMERAL NOTATION AND ARITHMETIC

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. World 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.

VOLUME II: ALGEBRA

III. Algebra:
1. General features.
2. Technical terms.
3. Symbols.
4. Laws and signs.
5. Fundamental 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 equations of the first degree.
16. Solution of Nx+1=y.
17. Cyclic method.
18. Solution of Nxc=y.
19. General indeterminate equations of the second degree: single equations.
20. Rational triangles.
21. Rational quadrilaterals.
22. Single indeterminate equations of higher degrees.
23. Linear functions made squares or 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. Solutions of axy=bx+cy+d.

DESCRIPTION

History of Hindu Mathematics: A Source Book is a treatise on the history of Indian mathematics. Originally published in two parts in 1930's. Part 1 of the book is divided into chapters. Chapter 1 gives details of the various methods employed by the Hindus for denoting numbers. The chapter also contains details of the gradual evolution of the decimal place value notation in India. Chapter 2 deals with arithmetic in general and it contains the details of various methods for performing the arithmetical operations using a "board". The evolution of the operations of addition, subtraction, multiplication, division, squaring, cubing, and the extraction square root and cube root are all discussed in detail. The whole of Part 2, running to about 307 pages, constitutes just one chapter numbered as Chapter 3 of the book. Some of the topics discussed in this chapter are linear equations with one unknown and with two unknowns, quadratic equations, linear indeterminate equations, solutions of equations of the form Nx2 + 1 = y2, indeterminate equations of higher degrees, and rational triangles.

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