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This book is an edited reprint of Part I of J. Hewlett's 1822 English translation. You can preview this book. This edition is in hardcover. The paperback edition is available from Tarquin books. 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.