Displaying similar documents to “Some highlights in the development of algebraic analysis”

Two centuries of the term "algebraic analysis"

Danuta Przeworska-Rolewicz (2000)

Banach Center Publications

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The term "Algebraic Analysis" in the last two decades is used in two completely different senses. It seems that at least one is far away from its historical roots. Thus, in order to explain this misunderstanding, the history of this term from its origins is recalled.

Positive Thinking. Conceptions of Negative Quantities in the Netherlands and the Reception of Lacroix’s Algebra Textbook

Danny J. Beckers (2000)

Revue d'histoire des mathématiques

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The beginning of the 19th century witnessed the emergence of several new approaches to negative numbers. New notions of rigour made the 18th century conceptions of negative quantities unacceptable. This paper discusses theories of negative numbers emerging in the Netherlands in the early 19th century. Dutch mathematicians then opted for a different approach than that of their contemporaries, in Germany or France. The Dutch translation (1821) of Lacroix’s illustrates the ‘Dutch’ notion...

Operational Methods in the Environment of a Computer Algebra System

Spiridonova, Margarita (2009)

Serdica Journal of Computing

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This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009. The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as...

Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions

Malaschonok, Natasha (2013)

Serdica Journal of Computing

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An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed. ...