Mathematical analysts | Number theorists

Anatoly Karatsuba

Anatoly Alexeyevich Karatsuba (his first name often spelled Anatolii) (Russian: Анато́лий Алексе́евич Карацу́ба; Grozny, Soviet Union, 31 January 1937 – Moscow, Russia, 28 September 2008) was a Russian mathematician working in the field of analytic number theory, p-adic numbers and Dirichlet series. For most of his student and professional life he was associated with the Faculty of Mechanics and Mathematics of Moscow State University, defending a D.Sc. there entitled "The method of trigonometric sums and intermediate value theorems" in 1966. He later held a position at the Steklov Institute of Mathematics of the Academy of Sciences. His textbook Foundations of Analytic Number Theory went to two editions, 1975 and 1983. The Karatsuba algorithm is the earliest known divide and conquer algorithm for multiplication and lives on as a special case of its direct generalization, the Toom–Cook algorithm. The main research works of Anatoly Karatsuba were published in more than 160 research papers and monographs. His daughter, , also a mathematician, constructed the FEE method. (Wikipedia).

Anatoly Karatsuba
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How Karatsuba's algorithm gave us new ways to multiply

To advance the field of computer science, mathematician Kolmogorov tried to optimise the multiplication algorithm we learn in elementary school. After failing to do so, he conjectured that no faster algorithms exist. This gave rise to Karatsuba's fast multiplication algorithm, an algorithm

From playlist Summer of Math Exposition Youtube Videos

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Dana Jazmin Frigoli & Adrian Romeo Ferreyra, 3, Milonga Para Una Armonica, Hugo Diaz #HugoDiaz

Dana Jazmin Frigoli & Adrian Romeo Ferreyra, 3, «White tango festival 2012», Moscow, Russia, Prischepov TV - Tango in World, http://prisсhepov.ru, archive video, tango, Milonga Para Una Armonica, Hugo Diaz #Tango,#TangoPassion#TangoDance#TangoMusic#Tristesse1#Tangoperformance#PassionTango

From playlist Tango

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Karaev Violin Concerto | Alena Baeva

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From playlist Classical

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Recitation 12: Karatsuba Multiplication, Newton's Method

MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Victor Costan License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.006 Introduction to Algorithms, Fall 2011

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A Short Tour of my House

Thank you Alex Crease for preparing the pyrotechnics.

From playlist My Home

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Lecture 12: Square Roots, Newton's Method

MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Srini Devadas License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.006 Introduction to Algorithms, Fall 2011

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Lecture 11: Integer Arithmetic, Karatsuba Multiplication

MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Srini Devadas License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.006 Introduction to Algorithms, Fall 2011

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Codes and Conformal Field Theories - Anatoly Dymarsky

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From playlist Natural Sciences

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Stochastic Mechanisms of Cell-Size Regulation in Bacteria by Anatoly Kolomeisky

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Program Summary - Jim Stone

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Related pages

ATS theorem | Hua Luogeng | Brun–Titchmarsh theorem | FEE method | Finite field | G. H. Hardy | Andrey Kolmogorov | Karatsuba algorithm | Riemann hypothesis | Dirichlet character | Hendrik Kloosterman | Special case | Emil Artin | Edward F. Moore | Prouhet–Tarry–Escott problem | Yuri Linnik | André Weil | Moore machine | Waring's problem | Atle Selberg | Multiplication | Toom–Cook multiplication | Legendre symbol | Analytic number theory | Quasi-algebraically closed field | Dirichlet L-function | Hermann Weyl | P-adic number | Dirichlet series | Riemann zeta function