Sequential Experiments With Primes

Sequential Experiments with Primes

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Sequential Experiments with Primes

Brain and Music

A comprehensive survey of the latest neuroscientific research into the effects of music on the brain Covers a variety of topics fundamental for music perception, including musical syntax, musical semantics, music and action, music and emotion Includes general introductory chapters to engage a broad readership, as well as a wealth of detailed research material for experts Offers the most empirical (and most systematic) work on the topics of neural correlates of musical syntax and musical semantics Integrates research from different domains (such as music, language, action and emotion both theoretically and empirically, to create a comprehensive theory of music psychology