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Author: W. A. Mathieu Publisher: Simon and Schuster ISBN: 1620554011 Category : Music Languages : en Pages : 576
Book Description
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.
Author: W. A. Mathieu Publisher: Simon and Schuster ISBN: 1620554011 Category : Music Languages : en Pages : 576
Book Description
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.
Author: W. A. Mathieu Publisher: Shambhala Publications ISBN: 0834827670 Category : Music Languages : en Pages : 386
Book Description
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.
Author: W. A. Mathieu Publisher: Inner Traditions ISBN: 9780892815609 Category : Music Languages : en Pages : 576
Book Description
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.
Author: Tara Kelly Publisher: Henry Holt and Company (BYR) ISBN: 9781429936866 Category : Young Adult Fiction Languages : en Pages : 288
Book Description
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.
Author: W. A. Mathieu Publisher: Shambhala Publications ISBN: 1590307321 Category : Music Languages : en Pages : 357
Book Description
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.
Author: Thomas H. Wolff Publisher: American Mathematical Soc. ISBN: 0821834495 Category : Mathematics Languages : en Pages : 154
Book Description
This book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. It is both an introduction to the subject as a whole and an overview of those branches of harmonic analysis that are relevant to the Kakeya conjecture. The usual background material is covered in the first few chapters: the Fourier transform, convolution, the inversion theorem, the uncertainty principle and the method of stationary phase. However, the choice of topics is highly selective, with emphasis on those frequently used in research inspired by the problems discussed in the later chapters. These include questions related to the restriction conjecture and the Kakeya conjecture, distance sets, and Fourier transforms of singular measures. These problems are diverse, but often interconnected; they all combine sophisticated Fourier analysis with intriguing links to other areas of mathematics and they continue to stimulate first-rate work. The book focuses on laying out a solid foundation for further reading and research. Technicalities are kept to a minimum, and simpler but more basic methods are often favored over the most recent methods. The clear style of the exposition and the quick progression from fundamentals to advanced topics ensures that both graduate students and research mathematicians will benefit from the book.
Author: María Cristina Pereyra Publisher: American Mathematical Soc. ISBN: 0821875663 Category : Mathematics Languages : en Pages : 410
Book Description
In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering. In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory. They present for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization). While concentrating on the Fourier and Haar cases, the book touches on aspects of the world that lies between these two different ways of decomposing functions: time-frequency analysis (wavelets). Both finite and continuous perspectives are presented, allowing for the introduction of discrete Fourier and Haar transforms and fast algorithms, such as the Fast Fourier Transform (FFT) and its wavelet analogues. The approach combines rigorous proof, inviting motivation, and numerous applications. Over 250 exercises are included in the text. Each chapter ends with ideas for projects in harmonic analysis that students can work on independently. This book is published in cooperation with IAS/Park City Mathematics Institute.
Author: Hugh L. Montgomery Publisher: American Mathematical Soc. ISBN: 0821807374 Category : Analyse harmonique - Congrès Languages : en Pages : 242
Book Description
This volume contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One particularly valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. The book should be a useful resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.
Author: Kathrin Bringmann Publisher: American Mathematical Soc. ISBN: 1470419440 Category : Forms (Mathematics) Languages : en Pages : 391
Book Description
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.
Author: Carlos E. Kenig Publisher: American Mathematical Soc. ISBN: 1470461277 Category : Education Languages : en Pages : 345
Book Description
The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.
Author: W. A. Mathieu
Author: W. A. Mathieu
Author: W. A. Mathieu
Author: W. A. Mathieu
Author: Tara Kelly
Author: W. A. Mathieu
Author: Thomas H. Wolff
Author: María Cristina Pereyra
Author: Hugh L. Montgomery
Author: Kathrin Bringmann
Author: Carlos E. Kenig