You Failed Your Math Test, Comrade Einstein: Adventures and Misadventures of Young Mathematicians Or Test Your Skills in Almost Recreational Mathematics

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World Scientific, 2005 - 210 pages
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This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya.
 

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Table des matières

MekhMat Entrance Examinations Problems
3
Solutions to the Year 2000 International Mathematical Olympiad
77
My Role as an Outsider Ilan Vardis Epilogue
103
Intellectual Genocide
110
Remarks
134
Science and Totalitarianism
145
Admission to the Mathematics Departments in Russia in
152
Part 3
159
Free Education at the Highest Price
171
Jewish University
183
Bella Abramovna Subbotovskaya
196
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Page 33 - Notice particularly that f'(t)/g'(t) is the derivative of the numerator divided by the derivative of the denominator, which is not the same as the derivative of the fraction f(t)/g(t). We shall establish Eq. (3) for the case where t —
Page 75 - Some problems in logic and number theory, and their connections, Thesis, Manchester University.
Page 182 - University in Russia. His research ranges from topology to homological algebra and representation theory that has applications in string theory and quantum field theory. The author of about 100 publications, including several mathematics textbooks, Fuchs is a brilliant expositor, actively participating in popularizing mathematics. He has been involved in all kinds of work with mathematically curious high school students both in Russia and in the United States.
Page 76 - On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors.
Page 162 - If a, b, c are the sides of a triangle and A, B, C are the opposite angles, find dA/da, dA/db, dA/dc by implicit differentiation of the Law of Cosines.
Page 75 - How many pairs of products of consecutive integers have the same prime factors,
Page 75 - Admission to the Mathematics Faculty in Russia in the 1970s and 1980s," Mathematical Intelligencer 16 (1994), 4-5.
Page 91 - Problem 4 A magician has one hundred cards numbered 1 to 100. He puts them into three boxes, a red one, a white one and a blue one, so that each box contains at least one card. A member of the audience...
Page 76 - Manchester, 1981). length of two sequences of consecutive integers with the same prime divisors,
Page 7 - AB is on a generator of the cone. Find the distance from the vertex of the cone to the straight line CD.

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