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Kasavu is a technique used in handlooms of Kerala, with very fine threads of gold or silver used in weave to make border lines and designs on silk and cotton fabrics. This technique later spread to most of India and the Kasav technique was developed for many other fabrics across India.
In addition, trigonometry [8] was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. [9] These mathematical concepts were transmitted to the Middle East, China, and Europe [7] and led to further developments that now form the foundations of many areas of mathematics.
Jakow Trachtenberg (17 June 1888 – 26 October 1951) was a mathematician who developed the mental calculation techniques called the Trachtenberg system. [1]He was born in Odessa, in the Russian Empire (today Ukraine).
The Trachtenberg Speed System of Basic Mathematics by Jakow Trachtenberg, A. Cutler (Translator), R. McShane (Translator), was published by Doubleday and Company, Inc. Garden City, New York in 1960. [1] The book contains specific algebraic explanations for each of the above operations. Most of the information in this article is from the ...
[8] [21] V. J. Katz notes some of the ideas of the Kerala school have similarities to the work of 11th-century Iraqi scholar Ibn al-Haytham, [9] suggesting a possible transmission of ideas from Islamic mathematics to Kerala. [22] Both Indian and Arab scholars made discoveries before the 17th century that are now considered a part of calculus. [9]
Mathematics in India does not require that its readers have any background in mathematics or the history of mathematics. [7] It makes scholarship in this area accessible to a general audience, [18] for instance by replacing many Sanskrit technical terms by English phrases, [12] although it is "more of a research monograph than a popular book". [16]
Another class of numbers Kaprekar described are Kaprekar numbers. [10] A Kaprekar number is a positive integer with the property that if it is squared, then its representation can be partitioned into two positive integer parts whose sum is equal to the original number (e.g. 45, since 45 2 =2025, and 20+25=45, also 9, 55, 99 etc.)
The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. [10] The word "algebra" itself is derived from the al-Jabr in the title of the book. [11]