Eight sketches about infinity. Mathematical adventure

Mathematical formulas are the same miracle as the ingenious works of great composers and writers, says the author of several bestsellers, a mathematician and philosopher Chaim Shapira. To everyone who wants to expand their horizons, he offers to get acquainted with the mathematical theories regarding the most beautiful of the concepts ever created by humanity-the concept of infinity. This concept excited many outstanding thinkers, including Zenon and Pythagoras, Georg Kantor and Bertrand Russell, Sofya Kovalevskaya and Emmy Neater, Al-Khreman and Euclid, Sophia Gemymen and Srinivas Ramanujan. Since the world of infinity is full of paradoxes, there are a lot of them in this book: the Aporia of Zeno, the Gilbert Hotel Infinity, the paradox of Achilles and the gods, the paradox of paradise and hell, the paradox of Ross - Litlewood about tennis balls, the paradox of Galileo and many others.
“I will tell the reader-specialist simply and clearly about the two mathematical theories that I consider the most fascinating-the theory of numbers and the theory of the sets, and each of them is related to infinity. Along with this, I will offer the strategies of mathematical thinking that allow the reader to experience his abilities to solve truly fascinating mathematical problems. ” (Chaim Shapira)