Mathematical Analysis

Also found in: Wikipedia.

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 It might be outdated or ideologically biased.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.
References in periodicals archive ?
The company uses mathematical analysis to provide property investors, lenders and mortgage brokers with a scoring system aimed at allowing them to identify the best deals on the market.
In the letter, Ridgedale questions the rationale, basic mathematical analysis and decision- making apparatus used by BBX to justify the short-form merger and demands that BBX share all relevant analyses with its public shareholders, as well as the minutes of the Board meetings reviewing and approving the proposal.
Mathematical Analysis for Machine Learning and Data Mining
Tang, "Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity," Journal of Mathematical Analysis and Applications, vol.
Vukovic, "Multiple Hilbert's type inequalities with a homogeneous kernel," Banach Journal of Mathematical Analysis, vol.
Vice Chancellor University of Malakand and Renowned Mathematician Dr Gul Zaman presented on 'Mathematical Analysis of Communicable Diseases and Multiple Control Strategies' and discussed vector borne diseases model which described the interaction between human and vector population.
Throughout the mathematical analysis, the effect of the PWM frequency and duty cycle on the average current and dither amplitude was investigated, and the analysis result was validated by electrical experiments.
Zhang, "Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis," Journal of Mathematical Analysis and Applications, vol.
Ding, "A generalized Gronwall inequality and its application to a fractional differential equation," Journal of Mathematical Analysis and Applications, vol.
Shaffer, Starlike and prestarlike hypergeometric func-tions",SIAM Journal on Mathematical Analysis, vol.
Dedicated to Mathematics, Nicolae Dinculeanu began his didactical activity in 1950 as a member of the Mathematical Analysis Section of the Faculty of Mathematics and Physics (chair of this section - Miron Nicolescu).

Full browser ?