George Boole


Book Description

George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a non-technical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written.







The Life and Work of George Boole


Book Description

First edition published in 1985 as: George Boole: his life and work. Dublin: Boole Press, 1985.




The Logician and the Engineer


Book Description

Third printing. First paperback printing. Original copyright date: 2013.










The Laws of Thought (1854)


Book Description




A Treatise on the Calculus of Finite Differences


Book Description

Written by the founder of symbolic logic (and Boolean algebra), this classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods with clarity and rigor. Includes more than 200 problems. 1872 edition.




The Poetry of George Boole


Book Description

The purpose of this little book is twofold. First, and most importantly, it is to collect and preserve the seventy or so surviving poems written by the mathematician and logician George Boole (1815-1864) and to comment upon what light his poetry throws on his character and personality. Second, it is to discuss a much-neglected topic, the interaction between Science and the Arts, with particular reference to mathematics and poetry. Poetry clearly meant a great deal to George Boole, both to read and compose. From his early teens until about 1855, he used poetry as a form of recreational activity, possibly as a form of relaxation from his more serious work in logic and mathematics. He was a competent, if not exceptional, translator and versifier, who now and then wrote lines of real poetic merit. And in the debate about reciprocal contributions by artists to the sciences, it would be difficult to find even a single established poet who made even a minor contribution to mathematics.




Cryptographic Boolean Functions and Applications


Book Description

Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference. Beginning with the basics of the necessary theory the book goes on to examine more technical topics, some of which are at the frontier of current research. Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource Organized logically to help the reader easily understand the topic