Format: Paperback

Language: English

Format: PDF / Kindle / ePub

Size: 10.25 MB

Downloadable formats: PDF

Pages: 336

Publisher: Brooks Cole; 11th edition (September 23, 2004)

ISBN: 0534464599

The students then worked through the topics of the prose commentary by writing (and drawing diagrams) on chalk- and dust-boards (i.e. boards covered with dust). The latter activity, a staple of mathematical work, was to later prompt mathematician-astronomer, Brahmagupta ( fl. 7th century CE), to characterise astronomical computations as "dust work" (Sanskrit: dhulikarman). [45] It is well known that the decimal place-value system in use today was first recorded in India, then transmitted to the Islamic world, and eventually to Europe. [46] The Syrian bishop Severus Sebokht wrote in the mid-7th century CE about the "nine signs" of the Indians for expressing numbers. [46] However, how, when, and where the first decimal place value system was invented is not so clear. [47] The earliest extant script used in India was the Kharoṣṭhī script used in the Gandhara culture of the north-west , source: http://development.existnomore.com/ebooks/a-treatise-on-special-or-elementary-geometry-including-an-elementary-and-also-in-part-iii-a. It's also a book that most mathematicians with an interest in the history of the subject will want to own."--Rob Bradley, MAA Reviews "I highly recommend the book to all those interested in the way in which the ancient people solve their practical problems and hope that the next volume of this interesting history of spherical and plane trigonometry will appear soon."--Cristina Blaga, Studia Mathematica He wrote a book titled Ganit Saar Sangraha on numerical mathematics, and also wrote treatises about a wide range of mathematical topics ref.: http://nickel-titanium.com/lib/spherical-trigonometry-for-the-use-of-colleges-and-schools-with-numerous-examples-1878. Topics include numerical differentiation and quadrature for functions of a single variable, approximation by polynomials and piece-wise polynomial functions, approximate solution of ordinary differential equations, and solution of nonlinear equations. This course covers topics similar to those of Math 21100 but at a more rigorous level. The emphasis is on proving all of the results http://fgnuernberg.de/freebooks/contemporary-trigonometry-by-hungerford-thomas-w-cengage-learning-2005-hardcover. These relations are sufficient to solve any spherical triangle for the unknown parts, but another relation is quite useful. To derive it, we substitute cos c = cos a cos b + sin a sin b cos C in cos b = cos a cos c + sin a sin c cos B, use cos2 b = 1 - sin2 b, and eliminate the common factor sin a to get sin a cos b = cos a sin b cos C + sin c cos B. Dividing by sin b, we get sin a cot b = cos a cos C + sin c cos B / sin b , source: http://stevenw.net/ebooks/the-normal-elementary-geometry-embracing-a-brief-treatise-on-mensuration-and-trigonometry.

Rated 4.6/5

based on 2413 customer reviews