Elements of Algebra
This book is an edited reprint of Part I of J. Hewlett's 1822 English translation. Leonhard Euler (1707--1783) is one of the most influential and prolific mathematicians of all time. His Elements of Algebra is one of the first books to set out algebra in the modern form we would recognize today. However, it is sufficiently different from most modern approaches to the subject to be interesting for contemporary readers. Indeed, the choices made for setting out the curriculum, and the details of the techniques Euler employs, may surprise even expert readers. It is also the only mathematical work of Euler which is genuinely accessible to all. Euler's style is unhurried, and yet rarely seems long winded."
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Algebra as taught in conventional schools and as taught by the ancient schools are worth comparing. For example on page 8 of this book we find that 1x2x3x4x5x6x7x8x9 gives a number 3628800. In the beejaganitha of Indian astronomers a middle number, an integer of this number is accepted as the squareroot of Time. because if we multiply 19 X19 we get 361 , the nearest number to the degrees of a circle 360. 1900x1900=3610000.1910x1910=3648100.Removing the decimals and zeroes it is near to the number of days taken by earth to complete one revolution around sun (364.8),the nearest numebrs taken to comprehend the squareroot of Time in a cyclical function and the number of actual days taken by earth to complete one round. The number we get by multiplying 1 upto 10 in the book (page 8) is between 361 and 364.8 (362.8 being the number equal to 1x2x3x4x5x6x7x8x9x10)
Algebra is more than mere exercise in mathematics but is applied mathematics in cosmology and calculation of Time in respect to earth, sun,moon,planets and stars and beyond in kalpa and yuga.I have always found it very fascinating!!!!
Dr Suvarna Nalapat