Musimathics Volume 1

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Musimathics, Volume 1

Author : Gareth Loy
Publisher : MIT Press
ISBN 13 : 0262516551
Total Pages : 501 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Musimathics, Volume 1 by : Gareth Loy

Download or read book Musimathics, Volume 1 written by Gareth Loy and published by MIT Press. This book was released on 2011-08-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.

Musimathics, Volume 1

Author : Gareth Loy
Publisher : MIT Press
ISBN 13 : 0262292750
Total Pages : 501 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Musimathics, Volume 1 by : Gareth Loy

Musimathics, Volume 2

Author : Gareth Loy
Publisher : MIT Press
ISBN 13 : 0262292769
Total Pages : 579 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Musimathics, Volume 2 by : Gareth Loy

Download or read book Musimathics, Volume 2 written by Gareth Loy and published by MIT Press. This book was released on 2011-08-19 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of a commonsense, self-contained introduction to the mathematics and physics of music, focusing on the digital and computational domain; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.

Physics and Music

Author : Harvey E. White
Publisher : Courier Corporation
ISBN 13 : 0486794008
Total Pages : 452 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Physics and Music by : Harvey E. White

Download or read book Physics and Music written by Harvey E. White and published by Courier Corporation. This book was released on 2014-04-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and accessible, this foundational text surveys general principles of sound, musical scales, characteristics of instruments, mechanical and electronic recording devices, and many other topics. More than 300 illustrations plus questions, problems, and projects.

Music by the Numbers

Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691202966
Total Pages : 176 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Music by the Numbers by : Eli Maor

Download or read book Music by the Numbers written by Eli Maor and published by Princeton University Press. This book was released on 2020-03-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.

On the Brink of Paradox

Author : Agustin Rayo
Publisher : MIT Press
ISBN 13 : 0262039419
Total Pages : 321 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis On the Brink of Paradox by : Agustin Rayo

Download or read book On the Brink of Paradox written by Agustin Rayo and published by MIT Press. This book was released on 2019-04-02 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.

A Geometry of Music

Author : Dmitri Tymoczko
Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis A Geometry of Music by : Dmitri Tymoczko

Download or read book A Geometry of Music written by Dmitri Tymoczko and published by OUP USA. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.

The Raven's Hat

Author : Jonas Peters
Publisher : MIT Press
ISBN 13 : 026204451X
Total Pages : 193 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Raven's Hat by : Jonas Peters

Download or read book The Raven's Hat written by Jonas Peters and published by MIT Press. This book was released on 2021-02-02 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games that show how mathematics can solve the apparently unsolvable. This book presents a series of engaging games that seem unsolvable--but can be solved when they are translated into mathematical terms. How can players find their ID cards when the cards are distributed randomly among twenty boxes? By applying the theory of permutations. How can a player guess the color of her own hat when she can only see other players' hats? Hamming codes, which are used in communication technologies. Like magic, mathematics solves the apparently unsolvable. The games allow readers, including university students or anyone with high school-level math, to experience the joy of mathematical discovery.

The Cognition of Basic Musical Structures

Author : David Temperley
Publisher : MIT Press
ISBN 13 : 9780262701051
Total Pages : 432 pages
Book Rating : 4.7/5 (1 download)

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Book Synopsis The Cognition of Basic Musical Structures by : David Temperley

Download or read book The Cognition of Basic Musical Structures written by David Temperley and published by MIT Press. This book was released on 2004-08-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, David Temperley addresses a fundamental question about music cognition: how do we extract basic kinds of musical information, such as meter, phrase structure, counterpoint, pitch spelling, harmony, and key from music as we hear it? Taking a computational approach, Temperley develops models for generating these aspects of musical structure. The models he proposes are based on preference rules, which are criteria for evaluating a possible structural analysis of a piece of music. A preference rule system evaluates many possible interpretations and chooses the one that best satisfies the rules. After an introductory chapter, Temperley presents preference rule systems for generating six basic kinds of musical structure: meter, phrase structure, contrapuntal structure, harmony, and key, as well as pitch spelling (the labeling of pitch events with spellings such as A flat or G sharp). He suggests that preference rule systems not only show how musical structures are inferred, but also shed light on other aspects of music. He substantiates this claim with discussions of musical ambiguity, retrospective revision, expectation, and music outside the Western canon (rock and traditional African music). He proposes a framework for the description of musical styles based on preference rule systems and explores the relevance of preference rule systems to higher-level aspects of music, such as musical schemata, narrative and drama, and musical tension.

Introduction to Elementary Mathematical Logic

Author : Abram Aronovich Stolyar
Publisher : Courier Corporation
ISBN 13 : 0486645614
Total Pages : 229 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Introduction to Elementary Mathematical Logic by : Abram Aronovich Stolyar

Download or read book Introduction to Elementary Mathematical Logic written by Abram Aronovich Stolyar and published by Courier Corporation. This book was released on 1984-01-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.

Structures for Semantics

Author : Fred Landman
Publisher : Springer Science & Business Media
ISBN 13 : 9401132127
Total Pages : 381 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Structures for Semantics by : Fred Landman

Download or read book Structures for Semantics written by Fred Landman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test.

The Audio Programming Book

Author : Richard Boulanger
Publisher : MIT Press
ISBN 13 : 0262014467
Total Pages : 917 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Audio Programming Book by : Richard Boulanger

Download or read book The Audio Programming Book written by Richard Boulanger and published by MIT Press. This book was released on 2010-10-22 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopedic handbook on audio programming for students and professionals, with many cross-platform open source examples and a DVD covering advanced topics. This comprehensive handbook of mathematical and programming techniques for audio signal processing will be an essential reference for all computer musicians, computer scientists, engineers, and anyone interested in audio. Designed to be used by readers with varying levels of programming expertise, it not only provides the foundations for music and audio development but also tackles issues that sometimes remain mysterious even to experienced software designers. Exercises and copious examples (all cross-platform and based on free or open source software) make the book ideal for classroom use. Fifteen chapters and eight appendixes cover such topics as programming basics for C and C++ (with music-oriented examples), audio programming basics and more advanced topics, spectral audio programming; programming Csound opcodes, and algorithmic synthesis and music programming. Appendixes cover topics in compiling, audio and MIDI, computing, and math. An accompanying DVD provides an additional 40 chapters, covering musical and audio programs with micro-controllers, alternate MIDI controllers, video controllers, developing Apple Audio Unit plug-ins from Csound opcodes, and audio programming for the iPhone. The sections and chapters of the book are arranged progressively and topics can be followed from chapter to chapter and from section to section. At the same time, each section can stand alone as a self-contained unit. Readers will find The Audio Programming Book a trustworthy companion on their journey through making music and programming audio on modern computers.

Fundamentals of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Fundamentals of Mathematics by :

Download or read book Fundamentals of Mathematics written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Algorithmic Music

Author : Alex McLean
Publisher : Oxford University Press
ISBN 13 : 0190227001
Total Pages : 648 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis The Oxford Handbook of Algorithmic Music by : Alex McLean

Download or read book The Oxford Handbook of Algorithmic Music written by Alex McLean and published by Oxford University Press. This book was released on 2018-01-18 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the ongoing development of algorithmic composition programs and communities of practice expanding, algorithmic music faces a turning point. Joining dozens of emerging and established scholars alongside leading practitioners in the field, chapters in this Handbook both describe the state of algorithmic composition and also set the agenda for critical research on and analysis of algorithmic music. Organized into four sections, chapters explore the music's history, utility, community, politics, and potential for mass consumption. Contributors address such issues as the role of algorithms as co-performers, live coding practices, and discussions of the algorithmic culture as it currently exists and what it can potentially contribute society, education, and ecommerce. Chapters engage particularly with post-human perspectives - what new musics are now being found through algorithmic means which humans could not otherwise have made - and, in reciprocation, how algorithmic music is being assimilated back into human culture and what meanings it subsequently takes. Blending technical, artistic, cultural, and scientific viewpoints, this Handbook positions algorithmic music making as an essentially human activity.

The Computer Music Tutorial

Author : Curtis Roads
Publisher : MIT Press
ISBN 13 : 9780262680820
Total Pages : 1262 pages
Book Rating : 4.6/5 (88 download)

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Book Synopsis The Computer Music Tutorial by : Curtis Roads

Download or read book The Computer Music Tutorial written by Curtis Roads and published by MIT Press. This book was released on 1996-02-27 with total page 1262 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive text and reference that covers all aspects of computer music, including digital audio, synthesis techniques, signal processing, musical input devices, performance software, editing systems, algorithmic composition, MIDI, synthesizer architecture, system interconnection, and psychoacoustics. The Computer Music Tutorial is a comprehensive text and reference that covers all aspects of computer music, including digital audio, synthesis techniques, signal processing, musical input devices, performance software, editing systems, algorithmic composition, MIDI, synthesizer architecture, system interconnection, and psychoacoustics. A special effort has been made to impart an appreciation for the rich history behind current activities in the field. Profusely illustrated and exhaustively referenced and cross-referenced, The Computer Music Tutorial provides a step-by-step introduction to the entire field of computer music techniques. Written for nontechnical as well as technical readers, it uses hundreds of charts, diagrams, screen images, and photographs as well as clear explanations to present basic concepts and terms. Mathematical notation and program code examples are used only when absolutely necessary. Explanations are not tied to any specific software or hardware. The material in this book was compiled and refined over a period of several years of teaching in classes at Harvard University, Oberlin Conservatory, the University of Naples, IRCAM, Les Ateliers UPIC, and in seminars and workshops in North America, Europe, and Asia.

Functions and Graphs

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 0486425649
Total Pages : 116 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Functions and Graphs by : I. M. Gelfand

Download or read book Functions and Graphs written by I. M. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.

Refining Sound

Author : Brian K. Shepard
Publisher : Oxford University Press, USA
ISBN 13 : 0199922969
Total Pages : 265 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Refining Sound by : Brian K. Shepard

Download or read book Refining Sound written by Brian K. Shepard and published by Oxford University Press, USA. This book was released on 2013-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Refining Sound is a practical roadmap to the complexities of creating sounds on modern synthesizers. As author, veteran synthesizer instructor Brian K. Shepard draws on his years of experience in synthesizer pedagogy in order to peel back the often-mysterious layers of sound synthesis one-by-one. The result is a book which allows readers to familiarize themselves with each individual step in the synthesis process, in turn empowering them in their own creative or experimental work. The book follows the stages of synthesis in chronological progression, starting readers at the raw materials of sound creation and ultimately bringing them to the final "polishing" stage. Each chapter focuses on a particular aspect of the synthesis process, culminating in a last chapter that brings everything together as the reader creates his/her own complex sounds. Throughout the text, the material is supported by copious examples and illustrations as well as by audio files and synthesis demonstrations on a related companion website. Each chapter contains easily digestible guided projects (entitled "Your Turn" sections) that focus on the topics of the corresponding chapter. In addition to this, one complete project will be carried through each chapter of the book cumulatively, allowing the reader to follow - and build - a sound from start to finish. The final chapter includes several sound creation projects in which readers are given types of sound to create as well as some suggestions and tips, with final outcomes is left to readers' own creativity. Perhaps the most difficult aspect of learning to create sounds on a synthesizer is to understand exactly what each synthesizer component does independent of the synthesizer's numerous other components. Not only does this book thoroughly illustrate and explain these individual components, but it also offers numerous practical demonstrations and exercises that allow the reader to experiment with and understand these elements without the distraction of the other controls and modifiers. Refining Sound is essential for all electronic musicians from amateur to professional levels of accomplishment, students, teachers, libraries, and anyone interested in creating sounds on a synthesizer.