Ivor Grattan-Guinness

* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

A comprehensive and intriguing account of the evolution of arithmetic and geometry, trigonometry and algebra, explores the interconnections among mathematics, physics, and mathematical astronomy and provides a history of the discipline from a new perspective. Originally published as The Norton History of the Mathematical Sciences. Reprint.

A History of the Mathematical Sciences

The Rainbow of Mathematics

Gerard Bornet

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.

Selected Manuscripts on Logic and its Philosophy

George Boole

This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field

Landmark Writings in Western Mathematics 1640-1940

Charles Coulston Gillispie

Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traite de mecanique celeste (1799-1825) and Theorie analytique des probabilites (1812). In the former, he demonstrated mathematically the stability of the solar system in accordance with the universal Newtonian law of gravity. In the latter, he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks. These estimates of error and statistical inferences could be applied to social, medical, and legal matters, as well as to the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution.

Ivor Grattan-Guinness

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