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## QuoteRef: dattB_1935

topics > all references > ThesaHelp: references c-d

ThesaHelp:
references c-d
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. Google

#### 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 place-value 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 cube-root 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 a-a 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 c-d (337 items)
Topic: history of mathematics (57 items)
Topic: kinds of numbers (24 items)
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)
Topic: probability (21 items)
Topic: vivid representation of programs (22 items)
Group: formalism   (9 topics, 473 quotes)
Topic: education (35 items)
Topic: reductionism (51 items)
Topic: infinity and infinitesimal (37 items)

Collected barberCB 3/98 excerpts