ABRAHAM ROBINSON Meaning and
Definition
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Abraham Robinson (1918-1974) was a renowned mathematician who made significant contributions to the field of analysis, particularly in the area of non-standard analysis. Born in Prussia (now Germany), he later emigrated to Israel and became a professor at the Hebrew University of Jerusalem.
Robinson's work focused on the foundational aspects of mathematics, aiming to address the limitations and inconsistencies that plagued traditional analysis. He introduced the concept of non-standard models, which provided a rigorous framework for reasoning about infinitesimal and infinite quantities. This approach involved extending the standard real numbers to include infinite and infinitesimal elements, thereby enabling the development of a coherent mathematical theory.
The culmination of Robinson's efforts came in 1961 with the publication of his influential treatise, "Non-Standard Analysis." This seminal work provided a systematic and axiomatic foundation for non-standard analysis, shedding new light on a wide range of mathematical subjects, including calculus, measure theory, and differential equations. It offered a fresh perspective on the foundations of analysis, unifying disparate mathematical ideas and paving the way for further research and applications.
Robinson's innovative ideas and methodologies continue to shape the field of mathematics. His work has found applications in various branches of science and engineering, particularly in areas requiring precise mathematical modeling and analysis. Robinson's contributions have earned him numerous accolades and honors, solidifying his legacy as one of the most influential mathematicians of the 20th century.
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