Mathematical Analysis

(redirected from Classical analysis)

mathematical analysis

[¦math·ə¦mad·ə·kəl ə′nal·ə·səs]
(analytical chemistry)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Mathematical Analysis


the aggregate of all branches of mathematics concerned with the study of functions by infinitesimal methods. Mathematical analysis appeared in systematic form in the works of I. Newton, G. Leibniz, L. Euler, and other mathematicians of the 17th and 18th centuries. A. Cauchy is responsible for substantiating mathematical analysis through the concept of the limit. As used at the present time, the term “mathematical analysis” is more often pedagogical than scientific. A course in mathematical analysis for the mathematical professions as taught in Soviet universities embraces the following: introduction to analysis (function, limit, and continuity), differential and integral calculus, and the theory of series (including power and Fourier series). Concepts from topology and functional analysis are entering more and more into the teaching of mathematical analysis.


Vallée-Poussin, C. J. De La. Kurs analiza beskonechno malykh, vols. 1–2. Leningrad-Moscow, 1933. (Translated from French.)
Khinchin, A. Ia. Kratkii kurs matematicheskogo analiza, 3rd ed. Moscow, 1957.
Rudin, U. Osnovy matematicheskogo analiza. Moscow, 1966.
(Translated from English.) Fikhtengol’ts, G. M. Kurs differentsial’nogo i integral’nogo ischisleniia, 6th ed., vols. 1–3. Moscow, 1966.


The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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de Julian-Ortaz, "Physical Chemistry for Chemists and Chemical Engineers: Multidisciplinary Research Perspectives" is based on different aspects of chemical technology that are associated with research and the development of theories for chemical engineers, helping to bridge the gap between classical analysis and modern, real-life applications.
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Thus, the typically laborious and time-consuming distillation stage required in the classical analysis of volatile acidity is eliminated.
They selected problems to demonstrate techniques that students of classical analysis would need as they move into engineering and physics.
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With deep historic roots in classical analysis, the basis of the field lies in the work of Knuth, who put the study of algorithms on a firm scientific basis starting in the late 1960s with his classic series of books.
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We compare our results with a previous study, which used classical analysis techniques and reported no main effect.

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