ThesaHelp: references cd
Topic: history of mathematics
Topic: kinds of numbers
Topic: number as a named set of numbers
Topic: notation for constants
Topic: what is a number
Topic: number representation
Topic: undefined, null, and other signal values
Topic: what is a computer
Topic: probability
Topic: vivid representation of programs
Group: formalism
Topic: education
Topic: reductionism
Topic: infinity and infinitesimal
 
Reference
Datta, B., Singh, A.N.,
History of Hindu Mathematics: a source book, part 1, numeral notation and arithmetic, Lahore, Motilal Banarsi Das, 1935.
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Notes
Harvard University library
Quotations
9 ;;Quote: ten has always been the basis of numeration in India
 9 ;;Quote: India used immense numbers from ancient times; for example, the Hindus used 18 denominations and in the Lalitavistara, tallaksana is 10^53
 38 ;;Quote: the decimal number system appears to be of Hindu origin sometime before 595 A.D.; only India switched from the old system to the new one using the same numerical signs
 53 ;;Quote: India has a placevalue system of word numerals; 1 is anything markedly unique, e.g., the moon, the earth; 0 is denoted by words meaning void, sky, complete; still used today
 75 ;;Quote: the earliest known use of the zero symbol is by Pingala (before 200 B.C.)
 75+;;Quote: Pingala (before 200 B.C.) gives an algorithm for computing the total number of arrangements of two things in n places
 126 ;;Quote: in India, conciseness of composition, especially in scientific matters, was highly prized; more pronounced in earlier works
 126 ;;Quote: description of early, Indian instruction in arithmetic: memorized problems and solutions; calculated by writing in dust spread on a board
 130 ;;Quote: all arithmetical operations resolve to increase and decrease, i.e., addition and subtraction
 175 ;;Quote: first description of an algorithm for computing the cuberoot
 185 ;;Quote: in India, the knowledge of fractions can be traced to very early times
 208 ;;Quote: the Hindus admired the Rule of Three for its simple and universal solution of proportion problems
 234 ;;Quote: Aryabhata (499) gave a solution for quadratic equations. Here is a sample problem
 239 ;;Quote: the Hindus define zero as the result of aa
 243 ;;Quote: Bhaskara II (1150): in a/0 there is no alteration, as no change takes place in the infinite and immutable God

Related Topics
ThesaHelp: references cd (337 items)
Topic: history of mathematics (57 items)
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Topic: number as a named set of numbers (15 items)
Topic: notation for constants (14 items)
Topic: what is a number (55 items)
Topic: number representation (16 items)
Topic: undefined, null, and other signal values (33 items)
Topic: what is a computer (62 items)
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Topic: infinity and infinitesimal (37 items)
