Simple Obsession. Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

The readers are the scientific bestseller of the American writer John Derbishir, awarded the Ayler award for the best popular presentation of a mathematical problem. The book is dedicated to the great guess of the German mathematician Bernhard Riman, nominated by him in the work On the number of ordinary numbers that do not exceed this value. Is there a general law or a general formula that would save us from a direct recount of such numbers? So simple in appearance, the question leads to a very difficult formulation of this hypothesis in the strict language of mathematics: All the non-trivial zeros of the zeta-functions have a material part equal to one second. For more than 150 years, the Riman hypothesis remains one of the greatest and still not solved mathematical tasks. She tenaciously holds the minds of the best mathematicians, bringing them to a state of obsession. The Riman hypothesis was included in the list of “problems of the millennium”, for the evidence or refutation of each of which the Clay mathematical institution announced a reward of one million dollars. And although the formulation of the Riman hypothesis looks mysterious for the uninitiated, the author of the book managed to brilliantly explain this hypothesis, attracting only elementary mathematics, and everything necessary is explained in the way. The book in a popular form tells about many attempts to prove or refute the hypothesis of Riman, about the fate of mathematicians obsessed with this task. Many interesting historical and biographical facts are given. The book reveals the enchanting and intriguing interconnection of different branches of mathematics and scientific search and conveys the delightful spirit of intellectual freedom. An inquisitive reader, no doubt, will receive true pleasure from reading this book