This highly interesting book is more than a report on a glorious period of Hungarian mathematics. It is a survey of twentieth century mathematics describing the development of the fields covered in the book in a broad context. Contributions of Hungarian mathematicians are analyzed in detail and there is a lot of biographical material. The present volume deals with topology, constructive function theory (orthogonal series and polynomials, interpolation, extremal properties of polynomials), harmonic analysis (commutative and non-commutative), real and functional analysis, differential equations, holomorphic functions, differential, discrete and convex geometry, mathematical statistics and probability, information theory and game theory. There is an article on the works of Kornél Lánczos on the theory of relativity. At the end of the book, a short guide to the history of Hungary in the 20th century and a short paper on education and research in Hungary are attached. Readers will surely appreciate brief biographies of 145 Hungarian mathematicians. The book is a valuable contribution to the history of 20th century mathematics. I can recommend it not only to historians of mathematics but to working mathematicians as well.

Reviewer:

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