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Explore the fascinating world of mathematical paradoxes with Paradoxical Mathematics by Gennady Alekseev, Vladimir Litvyak, and Ivan Kholyavin. This comprehensive book delves into the history and philosophy of mathematics, covering arithmetic, algebra, geometry, probability theory, set theory, topology, fractals, and recursion. It presents a wide array of probabilistic paradoxes, including the Three Prisoners problem, the Monty Hall paradox, and the Sleeping Beauty problem. Set theory paradoxes like Russell's and Cantor's are examined, alongside geometric puzzles such as the 18-point paradox and Wittgenstein's rod. Recursive and topological curiosities, including the liar paradox and sphere eversion, are also featured. The book explores diverse numbers like Pi, Euler's number, the golden ratio, Fibonacci numbers, Kaprekar's constant, Mersenne numbers, Graham's number, and zero. Key theorems from arithmetic, algebra, and analysis, including Fermat's Last Theorem and Gödel's incompleteness theorems, are explained. Ideal for mathematicians, educators, students, and enthusiasts of logic, this work offers a deep dive into the mind-bending puzzles that shape mathematical thought.
