Titlebook: Cool Math for Hot Music; A First Introduction Guerino Mazzola,Maria Mannone,Yan Pang Textbook 2016 Springer International Publishing Switze

PLAYS

Systems Approach to Warranty Management,Joining mathematics and music for most of us creates a love-hate relationship, although historically, with the Pythagorean origin, these two fields of human knowledge and activity were united. In this book we don’t want to enforce their unification for two reasons: different evolution of these fields, and major creative interaction.

抗原

Compatriot

Reliability Improvement Warranties,We present the theory of pure sets—the basis of all classical mathematics—in the form of the Zermelo-Fraenkel Axiomatics. This theory is illustrated with Iannis Xenakis’ composition ..

Organonitrile

The Role of Warranty in Marketing,The elements of a set can be written in any order, and we don’t yet have a way to define ordered structures. So we now develop the theory of ordered structures. It also allows us to define the central concept of a function.

Conclave

Stress

安慰

Cumbersome

缓和

The Role of Warranty in Marketing,Corollary 2 in Chapter 12 is crucial for the construction of some important structures for real numbers, such as general roots and logarithms. These are introduced in this chapter. We also discuss musical applications to pitch theory.

使激动

The ‘Counterpoint’ of Mathematics and MusicJoining mathematics and music for most of us creates a love-hate relationship, although historically, with the Pythagorean origin, these two fields of human knowledge and activity were united. In this book we don’t want to enforce their unification for two reasons: different evolution of these fields, and major creative interaction.