Keith Devlin The Joy of Sets. Fundamentals of Contemporary Set Theory Springer (1994)

This book is intended to provide an account of those parts of contemporary set theory which are of direct relevance to other areas of pure mathematics. The intended reader is either an advanced level undergraduate, or a beginning graduate student in mathematics, or else an accomplished mathematician who desires or needs a familiarity with modern set theory. The book is written in a fairly easy going style, with a minimum of formalism (a format characteristic of contemporary set theory) • In Chapter I the basic principles of set theory are developed in a "naive" tl manner. Here the notions of "set I II union " , "intersection", "power set" I "relation" I "function" etc. are defined and discussed. One assumption in writing this chapter has been that whereas the reader may have met all of these concepts before, and be familiar with their usage, he may not have considered the various notions as forming part of the continuous development of a pure subject (namely set theory) • Consequently, our development is at the same time rigorous and fast. Chapter II develops the theory of sets proper. Starting with the naive set theory of Chapter I, we begin by asking the question "What is a set?" Attempts to give a rLgorous answer lead naturally to the axioms of set theory introduced by Zermelo and Fraenkel, which is the system taken as basic in this book.

As part of Radio 2's Great British Songbook, Bob Harris investigates the songs the Beatles gave away. The most popular group in the world for over 45 years, a recent issue of re-mastered albums saw four Top 10 entries in the UK chart, while their compilation '1' looks set to be America's biggest album this decade. The fevered excitement that accompanied every release in the 1960s is well documented but less is known about the music written, though not necessarily recorded or released, by the Beatles during the same decade.

The Minimal Piano Collection for one piano (BC8551) ended with “In C” by Terry Riley. Many of the composers on this new 11 Cd box have stated that this particular piece was a starting point for them to compose in a new way, exploring the ways that were created, the spaces between the notes, the emptiness, the freedom. Elizabeth Bergmann & Marcel Bergmann, Tamara Rumiantsev and Sandra van Veen & Jeroen van Veen recorded 83 compositions. From two pianos up to six pianos, from Steve Reich ‘standard’ Pianophase to Six Pianos. On the included Cd-ROM you can find all the biographies, background information and some sheet music. Van Veen recorded many pieces on his own using multi track technique.