Patterns of primes and Fermat's theorem, Poincaré conjecture and Kepler spherical symmetry, Pi enigma and orbital chaos in celestial mechanics. Many of us have heard only on the edge of our ears about the mysterious and incomprehensible mysteries of modern mathematics. Meanwhile, paradoxically, the fundamental purpose of this science is to reveal the inner simplicity of the most difficult questions. English mathematician and popularizer of science, Professor Ian Stewart, helps the reader overcome the psychological barrier.