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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.
Visual calculus, invented by Mamikon Mnatsakanian (known as Mamikon), is an approach to solving a variety of integral calculus problems. [1] Many problems that would otherwise seem quite difficult yield to the method with hardly a line of calculation. Mamikon collaborated with Tom Apostol on the 2013 book New Horizons in Geometry describing the ...
It would be a few decades later that Newton and Leibniz independently developed infinitesimal calculus, which grew, with the stimulus of applied work that continued through the 18th century, into analysis topics such as the calculus of variations, ordinary and partial differential equations, Fourier analysis, and generating functions.
When Apostol met Mamikon he wrote, "As a teacher of calculus for more than 50 years and as an author of a couple of textbooks on the subject, I was stunned to learn that many standard problems in calculus can be easily solved by an innovative visual approach that makes no use of formulas." [3]
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 ]
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations can be ...
Caltech mathematician Tom M. Apostol joined the Mechanical Universe production staff in order to ensure that the series did not compromise on the quality of the mathematics it presented. Seeing an example of Blinn's computer animation for the first time convinced Apostol that the series could bring mathematics "to life in a way that cannot be ...
Download as PDF; Printable version; ... The second one can be addressed by calculus techniques, ... the following theorem holds (Apostol 1974, Theorem 10.33):
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