The Lectionary of Music by Nicolas Slonimsky

The Lectionary of Music by Nicolas Slonimsky

This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff's classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff's initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2.

Contents
Fundamentals of the theory of classes, sets, and numbers
Characterization of all natural models of Neumann - Bernays - Godel and Zermelo - Fraenkel set theories
Local theory of sets as a foundation for category theory and its connection with the Zermelo - Fraenkel set theory
Compactness theorem for generalized second-order language

Nicolas Slonimsky (1894-1995) was a well-known and renowned music critic. Born in the city of Saint. In his 101 years, he taught and coached music, directed the premieres of several twentieth-century masterpieces, produced works for piano and voice, and oversaw the 5th-8th editions of the renowned Baker's Biographical Dictionary of Musicians. He was born in Petersburg, Russia, in 1894. Slonimsky began living in the United States in 1926. He began writing challenging articles about contemporary music and musicians soon after his arrival, many of whom were personal acquaintances.

He accumulated a big file of reviews, essays, and even manuscripts for books that were never published while working as a freelance author. In four volumes, this compilation puts together the best of this material.