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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 ]
American Mathematical Society, 1994. Lexikon bedeutender Mathematiker. Deutsch, Thun, Frankfurt am Main, ISBN 3-8171-1164-9. Tom Apostol: Introduction to Analytical number theory. Springer; Tom Apostol: Modular functions and Dirichlet Series in Number Theory. Springer; Berndt, Bruce C. (1992). "Hans Rademacher (1892–1969)" (PDF). Acta ...
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.
Tom Apostol, Modular functions and Dirichlet series in number theory, Springer, second edition, 1990. A.F. Leont'ev, Entire functions and series of exponentials (in Russian), Nauka, first edition, 1982. A.I. Markushevich, Theory of functions of a complex variables (translated from Russian), Chelsea Publishing Company, second edition, 1977.
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 ...
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. [1] It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions.
Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, (1972) Dover, New York. (See Chapter 23) Apostol, Tom M. (1976), Introduction to analytic number theory , Undergraduate Texts in Mathematics, New York-Heidelberg: Springer-Verlag, ISBN 978-0-387-90163-3 , MR 0434929 ...