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Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.
Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.
This volume opens on 4 March 1803, the first day of Jefferson's third year as president. Still shaken by the closing of the right of deposit at New Orleans, he confronts the potential political consequences of a cession of Louisiana to France that might result in a denial of American access to the Mississippi. But he resists pressures to seize New Orleans by force, urging patience instead. The cabinet determines in April that "all possible procrastinations" should be used in dealing with France, but that discussions with Great Britain move forward as well. In Paris, a treaty for the cession of the Louisiana Territory to the United States is signed, and in May the right of deposit is restored...
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
Ever since the threads of seventeenth-century natural philosophy began to coalesce into an understanding of the natural world, printed artifacts such as laboratory notebooks, research journals, college textbooks, and popular paperbacks have been instrumental to the development of what we think of today as “science.” But just as the history of science involves more than recording discoveries, so too does the study of print culture extend beyond the mere cataloguing of books. In both disciplines, researchers attempt to comprehend how social structures of power, reputation, and meaning permeate both the written record and the intellectual scaffolding through which scientific debate takes pl...
In the steam-powered mechanical age of the eighteenth and nineteenth centuries, the work of late Georgian and early Victorian mathematicians depended on far more than the properties of number. British mathematicians came to rely on industrialized paper and pen manufacture, railways and mail, and the print industries of the book, disciplinary journal, magazine, and newspaper. Though not always physically present with one another, the characters central to this book—from George Green to William Rowan Hamilton—relied heavily on communication technologies as they developed their theories in consort with colleagues. The letters they exchanged, together with the equations, diagrams, tables, or...
Thomas Kuhn and Karl Popper are believed by many who study science to be the two key thinkers of the twentieth century. Each addressed the question of how scientific theories change, but they came to different conclusions. By turning our attention to ambiguity and indecision in science, Menachem Fisch, in Creatively Undecided, offers a new way to look at how scientific understandings change. Following Kuhn, Fisch argues that scientific practice depends on the framework in which it is conducted, but he also shows that those frameworks can be understood as the possible outcomes of the rational deliberation that Popper viewed as central to theory change. How can a scientist subject her standard...