Math Fundamentals for Audio

Math Fundamentals for Audio PDF

Author: Leslie Gaston-Bird

Publisher: A-R Editions, Inc.

Published: 2019-12-31

Total Pages: 160

ISBN-13: 0895798379

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Math Fundamentals for Audio uniquely complements many popular textbooks on the recording arts and audio engineering with its fresh and thorough presentation of essential mathematical concepts. In this handbook Leslie Gaston-Bird applies principles from algebra, geometry, trigonometry and even calculus to concepts such as Ohm’s law, delays, impedance, bandwidth and decibels. This concise book offers a foundation for connecting mathematics with modern software tools for digital audio.

Fundamentals of Music Processing

Fundamentals of Music Processing PDF

Author: Meinard Müller

Publisher: Springer

Published: 2015-07-21

Total Pages: 487

ISBN-13: 3319219456

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This textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval. Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, computer science, multimedia, and musicology. The book consists of eight chapters. The first two cover foundations of music representations and the Fourier transform—concepts that are then used throughout the book. In the subsequent chapters, concrete music processing tasks serve as a starting point. Each of these chapters is organized in a similar fashion and starts with a general description of the music processing scenario at hand before integrating it into a wider context. It then discusses—in a mathematically rigorous way—important techniques and algorithms that are generally applicable to a wide range of analysis, classification, and retrieval problems. At the same time, the techniques are directly applied to a specific music processing task. By mixing theory and practice, the book’s goal is to offer detailed technological insights as well as a deep understanding of music processing applications. Each chapter ends with a section that includes links to the research literature, suggestions for further reading, a list of references, and exercises. The chapters are organized in a modular fashion, thus offering lecturers and readers many ways to choose, rearrange or supplement the material. Accordingly, selected chapters or individual sections can easily be integrated into courses on general multimedia, information science, signal processing, music informatics, or the digital humanities.

The Audio Programming Book

The Audio Programming Book PDF

Author: Richard Boulanger

Publisher: MIT Press

Published: 2010-10-22

Total Pages: 917

ISBN-13: 0262014467

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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.

Proofs and Fundamentals

Proofs and Fundamentals PDF

Author: Ethan D. Bloch

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 434

ISBN-13: 1461221307

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The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.

Musimathics, Volume 1

Musimathics, Volume 1 PDF

Author: Gareth Loy

Publisher: MIT Press

Published: 2011-08-19

Total Pages: 501

ISBN-13: 0262516551

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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.

Digital Audio Theory

Digital Audio Theory PDF

Author: Christopher L. Bennett

Publisher: CRC Press

Published: 2020-12-27

Total Pages: 255

ISBN-13: 1000292258

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Digital Audio Theory: A Practical Guide bridges the fundamental concepts and equations of digital audio with their real-world implementation in an accessible introduction, with dozens of programming examples and projects. Starting with digital audio conversion, then segueing into filtering, and finally real-time spectral processing, Digital Audio Theory introduces the uninitiated reader to signal processing principles and techniques used in audio effects and virtual instruments that are found in digital audio workstations. Every chapter includes programming snippets for the reader to hear, explore, and experiment with digital audio concepts. Practical projects challenge the reader, providing hands-on experience in designing real-time audio effects, building FIR and IIR filters, applying noise reduction and feedback control, measuring impulse responses, software synthesis, and much more. Music technologists, recording engineers, and students of these fields will welcome Bennett’s approach, which targets readers with a background in music, sound, and recording. This guide is suitable for all levels of knowledge in mathematics, signals and systems, and linear circuits. Code for the programming examples and accompanying videos made by the author can be found on the companion website, DigitalAudioTheory.com.

Music, Math, and Mind

Music, Math, and Mind PDF

Author: David Sulzer

Publisher:

Published: 2021-03-23

Total Pages: 240

ISBN-13: 9780231193788

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This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music. Written for musicians and music lovers with any level of science and math proficiency, including none, Music, Math, and Mind demystifies how music works while testifying to its beauty and wonder.

Audio Reality

Audio Reality PDF

Author: Bruce Rozenblit

Publisher: Transcendent Sound, Inc.

Published: 1999

Total Pages: 124

ISBN-13: 0966961102

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Are you confused about which accessories to buy? Have you ever wondered how they work? Do claims made in advertisements seem too bizarre to be real? This book will give you the knowledge needed to answer these questions yourself. By using simple analogies with clear explanations, the author equips the reader with the science that governs the operations of these devices without using any math. By replacing "myths" with "facts" the reader acquires essential information that yields the greatest value from your purchasing dollar and not be taken advantage of. Topics include: conductors, connectors, skin effect, impedance, interconnects, speaker cables, balanced lines, transmission lines, power cords, isolation transformers, damping systems, feedback, vacuum tubes, acoustics and much more. Become your own expert!--Back cover.

Mastering the Fundamentals of Mathematics

Mastering the Fundamentals of Mathematics PDF

Author: James A. Sellers

Publisher:

Published: 2012

Total Pages: 128

ISBN-13: 9781598038552

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This well-rounded approach to the basics of mathematics is a surefire way to strengthen your current knowledge or to gain new skills for more deftly and confidently approaching and dealing with math. Professor Sellers reveals the secrets behind all the key math topics you need to know. In 24 lectures packed with helpful examples, practice problems, and guided walk-throughs, you'll finally grasp the all-important fundamentals of math in a way that truly sticks.