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Tom Mike Apostol (/ ə ˈ p ɑː s əl / ə-POSS-əl; [1] August 20, 1923 – May 8, 2016) [2] was an American mathematician and professor at the California Institute of Technology specializing in analytic number theory, best known as the author of widely used mathematical textbooks.
The Project Mathematics! series was created and directed by Tom M. Apostol and James F. Blinn, both from the California Institute of Technology. The project was originally titled Mathematica but was changed to avoid confusion with the mathematics software package . [ 11 ]
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.
N. I. Akhiezer, Elements of the Theory of Elliptic Functions, (1970) Moscow, translated into English as AMS Translations of Mathematical Monographs Volume 79 (1990) AMS, Rhode Island ISBN 0-8218-4532-2; Tom M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Second Edition (1990), Springer, New York ISBN 0-387-97127-0 (See ...
Composed in 1669, [4] during the mid-part of that year probably, [5] from ideas Newton had acquired during the period 1665–1666. [4] Newton wrote And whatever the common Analysis performs by Means of Equations of a finite number of Terms (provided that can be done) this new method can always perform the same by means of infinite Equations.
There are two slightly different versions of Abel's test – one is used with series of real numbers, and the other is used with power series in complex analysis. Abel's uniform convergence test is a criterion for the uniform convergence of a series of functions dependent on parameters.
Analysis is a branch of mathematics that deals with real numbers and complex numbers and their functions. It has its beginnings in the rigorous formulation of calculus and it studies concepts such as continuity , integration and differentiability in general settings.
Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Theorems in analysis" The following 121 pages are in this category, out of ...