Notes on algebra, arithmetic, and geometric series (October 1674) -- The series of all numbers, and on binary progression (before 15/25 March 1679) -- Binary progression (before 15/25 March 1679) -- Geometric progressions and positional notation (before 15 March 1679) -- Binary arithmetic machine (before 15/25 March 1679) -- On the binary progression (15/25 March 1679) -- Attempted expression of the circle in binary progression (c. 1679) -- Sedecimal progression (1679) -- Binary progression is for theory, sedecimal for practice (c. 1679) -- On the organon or great art of thinking (first half [?] of 1679) -- Binary ancestral calculations (early 1680s [?]) -- Sedecimal on an envelope (c. 1682-1685) -- Remarks on Weigel (1694-mid March 1695) -- Leibniz to Duke Rudolph August (7/17-8/18 May 1696) -- A wonderful expression of all numbers by 1 and 0 representing the origin of things from God and nothing, or the mystery of creation (7/17 May 1696) -- Wonderful origin of all numbers from 1 and 0, which serves as a beautiful representation of the mystery of creation, since everything arises from God and nothing else (8/18 May 1696) -- Leibniz to Duke Rudolph August (2/12 January 1697) -- Duke Rudolph August to Johan Urban Müller (5/15 January 1697) -- Leibniz to Claudio Filippo Grimaldi (mid-January-early February 1697) -- Periods (May 1698-first half of January 1701) -- Leibniz to Philippe Naudé (15 January 1701) -- Leibniz to Joachim Bouvet (15 February 1701) -- Essay on a new science of numbers (26 February 1701) -- Binary addition (spring-summer 1701 [?]) -- Periods in binary (spring-fall 1701) -- Periods and powers (mid-to-late June 1701[?]) -- Demonstration that columns of sequences exhibiting powers of arithmetic progressions, or numbers composed from these, are periodic (November 1701) -- Joachim Bouvet to Leibniz (4 November 1701) -- Leibniz to Bouvet (early April [?] 1703) -- Explanation of binary arithmetic, which uses only the digits 0 and 1, with some remarks on its usefulness, and on the light it throws on the ancient Chinese figures of Fuxi (7 April 1703) -- Leibniz to César Caze (23 June 1705) -- On binary (late June 1705).
"Among his extraordinary mathematical and philosophical achievements, Gottfried Wilhelm Leibniz (1646-1716) invented binary arithmetic, the representational basis for today's world of digital computing and communications. This book will be the first to make a selection of his writings available in English. Strickland and Lewis provide an accessible introduction to Leibniz through some twenty mostly unpublished manuscripts dealing with binary notation, algorithms for binary arithmetic, and related topics. The book includes an introduction analyzing the history of the binary system and Leibniz's claim to priority and short introductions to each of the chapters"--