An exploration of musical harmony from its ancient fundamentals to its most complex modern progressions, addressing how and why it resonates emotionally and spiritually in the individual. W. A. Mathieu, an accomplished author and recording artist, presents a way of learning music that reconnects modern-day musicians with the source from which music was originally generated. As the author states, "The rules of music--including counterpoint and harmony--were not formed in our brains but in the resonance chambers of our bodies." His theory of music reconciles the ancient harmonic system of just intonation with the modern system of twelve-tone temperament. Saying that the way we think music is far from the way we do music, Mathieu explains why certain combinations of sounds are experienced by the listener as harmonious. His prose often resembles the rhythms and cadences of music itself, and his many musical examples allow readers to discover their own musical responses.

The Listening Book is about rediscovering the power of listening as an instrument of self-discovery and personal transformation. By exploring our capacity for listening to sounds and for making music, we can awaken and release our full creative powers. Mathieu offers suggestions and encouragement on many aspects of music-making, and provides playful exercises to help readers appreciate the connection between sound, music, and everyday life.

Music is, in one sense, merely a series of fleeting vibrations that arise and subside. How could it be that something so insubstantial fills us, and calms us, and makes us weep? Because, says W. A. Mathieu, music bridges mind and heart, self and other, and affirms our place in the world. Everyone uses the bridge of music, from casual listeners to devoted professionals. Mathieu's delightful and trenchant prose asks you to question what music is, how it works, and how to understand its value in your life, in the life of your community, and in the evolution of the cosmos.

Sixteen-year-old, music- and sound design-obsessed Drea doesn't have friends. She has, as she's often reminded, issues. Drea's mom and a rotating band of psychiatrists have settled on "a touch of Asperger's." Having just moved to the latest in a string of new towns, Drea meets two other outsiders. And Naomi and Justin seem to actually like Drea. The three of them form a band after an impromptu, Portishead-comparison-worthy jam after school. Justin swiftly challenges not only Drea's preference for Poe over Black Lab but also her perceived inability to connect with another person. Justin, against all odds, may even like like Drea. It's obvious that Drea can't hide behind her sound equipment anymore. But just when she's found not one but two true friends, can she stand to lose one of them? Harmonic Feedback is a 2011 Bank Street - Best Children's Book of the Year.

Everyone, according to W.A. Mathieu, is musical by nature—it goes right along with being human. And if you don't believe it, this book will convince you. In a series of interrelated short essays, Mathieu takes the reader on a journey through ordinary experiences to open our ears to the rich variety of music that surrounds us but that we are trained to ignore; such as the variety of pitches produced by different objects, like glassware, furniture, drums—anything you can tap; or sounds that hover on the border of music, like laughter, the clinking of glasses in a toast, or the unintentional falsetto produced by yawning. Along the way the author teaches aspects of music theory that nonmusicians might ordinarily shy away from. He reveals the way of music to be a profoundly spiritual path—one that is everyone's birthright.

Inspired by exciting developments in superstring theory, this is a pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry. The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and applications.

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.