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| cool math for hot music: Cool Math for Hot Music Guerino Mazzola, Maria Mannone, Yan Pang, 2016-10-26 This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions. |
| cool math for hot music: Mathematical Music Theory: Algebraic, Geometric, Combinatorial, Topological And Applied Approaches To Understanding Musical Phenomena Mariana Montiel, Robert W Peck, 2018-11-08 Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself.The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. |
| cool math for hot music: Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels Mariana Montiel, Francisco Gomez, 2018-10-24 During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers. |
| cool math for hot music: Mathematics and Computation in Music Mariana Montiel, Francisco Gomez-Martin, Octavio A. Agustín-Aquino, 2019-06-11 This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. |
| cool math for hot music: The Future of Music Guerino Mazzola, Jason Noer, Yan Pang, Shuhui Yao, Jay Afrisando, Christopher Rochester, William Neace, 2020-03-21 The idea of this monograph is to present an overview of decisive theoretical, computational, technological, aesthetical, artistic, economical, and sociological directions to create future music. It features a unique insight into dominant scientific and artistic new directions, which are guaranteed by the authors' prominent publications in books, software, musical, and dance productions. Applying recent research results from mathematical and computational music theory and software as well as new ideas of embodiment approaches and non-Western music cultures, this book presents new composition methods and technologies. Mathematical, computational, and semiotic models of artistic presence (imaginary time, gestural creativity) as well as strategies are also covered. This book will be of interest to composers, music technicians, and organizers in the internet-based music industry, who are offered concrete conceptual architectures and tools for their future strategies in musical creativity and production. |
| cool math for hot music: Functorial Semiotics for Creativity in Music and Mathematics Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang, 2022-04-23 This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory. Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence). The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity. |
| cool math for hot music: Basic Music Technology Guerino Mazzola, Yan Pang, William Heinze, Kyriaki Gkoudina, Gian Afrisando Pujakusuma, Jacob Grunklee, Zilu Chen, Tianxue Hu, Yiqing Ma, 2018-11-02 This is an introduction to basic music technology, including acoustics for sound production and analysis, Fourier, frequency modulation, wavelets, and physical modeling and a classification of musical instruments and sound spaces for tuning and counterpoint. The acoustical theory is applied to its implementation in analogue and digital technology, including a detailed discussion of Fast Fourier Transform and MP3 compression. Beyond acoustics, the book discusses important symbolic sound event representation and software as typically realized by MIDI and denotator formalisms. The concluding chapters deal with globalization of music on the Internet, referring to iTunes, Spotify and similar environments. The book will be valuable for students of music, music informatics, and sound engineering. |
| cool math for hot music: All About Music Guerino Mazzola, Maria Mannone, Yan Pang, Margaret O'Brien, Nathan Torunsky, 2016-11-23 This book explains music’s comprehensive ontology, its way of existence and processing, as specified in its compact characterization: music embodies meaningful communication and mediates physically between its emotional and mental layers. The book unfolds in a basic discourse in everyday language that is accessible to everybody who wants to understand what this topic is about. Musical ontology is delayed in its fundamental dimensions: its realities, its meaningful communication, and its embodied utterance from musical creators to an interested audience. The authors' approach is applicable to every musical genre and is scientific, the book is suitable for non-musicians and non-scientists alike. |
| cool math for hot music: Creativity and Theory in Musicianship Guerino Mazzola, Yan Pang, Jason "J-Sun" Noer, Jordon Goebel, 2023-03-31 This book fills a gap between theory and creativity in musicianship. This frequently observed gap fixes theory as a rigidified level of thought, where creativity is excluded from a canonized corpus of ideas. Creativity, on the other hand, is preconceived as a theory-less, wild activity that blossoms while performing pre-composed musical structures. This book provides a discussion of the creative drive in theory and theory-inspired thoughts while understanding how these ideas shape performance. The future of music is only as limited as one’s imagination, and, to this end, the text illuminates examples of creative musicianship. |
| cool math for hot music: Music and Fuzzy Logic Hanns-Werner Heister, 2021-02-21 This book unfolds the manifold, complex and intertwined relations between Fuzzy Logic and music in a first comprehensive overview on this topic: systematically as an outline, as completely as possible, in the aspects of Fuzzy Logic in this relation, and especially in music as a process with three main phases, five anthropological layers, and thirteen forms of existence of the art work (Classics, Jazz, Pop, Folklore). Being concerned with the ontological, gnoseological, psychological, and (music-) aesthetical status and the relative importance of different phenomena of relationship between music and Fuzzy Logic, the explication follows the four main principles (with five phenotypes) of Fuzzy Logic with respect to music: similarity, sharpening 1 as filtering, sharpening 2 as crystallization, blurring, and variation. The book reports on years of author’s research on topics that have been only little explored so far in the area of Music and Fuzzy Logic. It merges concepts of music analysis with fuzzy logical modes of thinking, in a unique way that is expected to attract both specialists of music and specialists of Fuzzy Logic, and also non-specialists in both fields. The book introduces the concept of dialectic between sharpening and – conscious – “blurring”. In turn, some important aspects of this dialectic are discussed, placing them in an historical dimension, and ending in the postulation of a 'musical turn' in the sciences, with some important reflections concerning a “Philosophy of Fuzzy Logic”. Moreover, a production-oriented thinking is borrowed from fuzzy logic to musicology in this book, opening new perspectives in music, and possibly also in other artistic fields. |
| cool math for hot music: The Topos of Music III: Gestures Guerino Mazzola, René Guitart, Jocelyn Ho, Alex Lubet, Maria Mannone, Matt Rahaim, Florian Thalmann, 2018-03-28 This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures. |
| cool math for hot music: The Topos of Music I: Theory Guerino Mazzola, 2018-03-28 This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives. |
| cool math for hot music: The Topos of Music II: Performance Guerino Mazzola, 2018-03-28 This is the second volume of the second edition of the now classic book “The Topos of Music”. The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. The author also shows how Rubato, a software platform for composition, analysis, and performance, allows an experimental evaluation of principles of expressive performance theories. |
| cool math for hot music: Classification of Musical Objects for Analysis and Composition Linshujie Zheng, Guerino Mazzola, 2023-07-01 This book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven’s sonatas, and some of the author’s own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction. |
| cool math for hot music: Shell and Spatial Structures Stefano Gabriele, Amedeo Manuello Bertetto, Francesco Marmo, Andrea Micheletti, 2023-12-04 This volume collects the latest advances, innovations, and applications in the field of shell and spatial structures, as presented by leading international researchers at the 2nd Italian Workshop on Shell and Spatial Structures (IWSS), held in Turin, Italy on June 26-28, 2023. The conference was meant to give an overview on experimental and theoretical studies, analysis methods and approaches for the design, computational form finding, structural optimization, manufacturing, testing and maintenance techniques and historical reviews of all types of shell and spatial structures. These include, but are not limited to, tension and membrane structures, framed and lattice structures, gridshells and active-bending structures, shell roofs, tensegrity structures, pneumatic and inflatable structures, active and deployable structures, concrete, metal, masonry, timber and bio-based, spatial structures. The contributions, which were selected by means of a rigorous international peer-review process, present a wealth of exciting ideas that will open novel research directions and foster multidisciplinary collaboration among different specialists. |
| cool math for hot music: The Computer Music Tutorial, second edition Curtis Roads, 2023-06-06 Expanded, updated, and fully revised—the definitive introduction to electronic music is ready for new generations of students. Essential and state-of-the-art, The Computer Music Tutorial, second edition is a singular text that introduces computer and electronic music, explains its motivations, and puts topics into context. Curtis Roads’s step-by-step presentation orients musicians, engineers, scientists, and anyone else new to computer and electronic music. The new edition continues to be the definitive tutorial on all aspects of computer music, including digital audio, signal processing, musical input devices, performance software, editing systems, algorithmic composition, MIDI, and psychoacoustics, but the second edition also reflects the enormous growth of the field since the book’s original publication in 1996. New chapters cover up-to-date topics like virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, and instrument and patch editors. Exhaustively referenced and cross-referenced, the second edition adds hundreds of new figures and references to the original charts, diagrams, screen images, and photographs in order to explain basic concepts and terms. Features New chapters: virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, instrument and patch editors, and an appendix on machine learning Two thousand references support the book’s descriptions and point readers to further study Mathematical notation and program code examples used only when necessary Twenty-five years of classroom, seminar, and workshop use inform the pace and level of the material |
| cool math for hot music: The Topos of Music Guerino Mazzola, 2012-12-06 With contributions by numerous experts |
| cool math for hot music: LIFE - A MYSTERY OSHO PRASHANT, 2020-09-19 The Book very interesting and the characters in the Story has given an opportunity to ponder on profoundness of life. The raw knowledge through the story is that which gives the freedom to the reader mind to relate it's life to learn the way of life in its innocence which actually holds the reader to continue to read it to the last page. The reforms in the Education System as well as the freedom to laugh, to freely interact, to freely choose its subject and implementation of meditation always holds greater significance which needs to be contemplated and implemented.. The characters in the story teaches the art of living to live joyfully, the character Ramratti has shown the compassion and has lead a life by example which has guided all the characters like Dahu, Subba, Doctor Swami and Sudan to be more open towards life by understanding the righteousness of thought and wisdom that helped in living joyfully the other characters in the latter part of the story has evolved which reflects the inner thirst of human to improve itself to be in peace and in reverence of God. Poetic nature of Dahu and Subba simply reflects the innocent loving nature. The Book through the story had touched all the different dimensions of each character which one can relate to create the understanding to enjoy the mystery of life. Man in today's world has forgotten to live joyfully, has forgotten to live in gratitude and on reverence of God, this book through its story gives the opportunity to contemplate and ponder upon the real treasures that we often forget in midst of chasing our uncountable goals which only gives a glimpse of peace and happiness when achieved. Last but not the least I would say a must read Book for all, mere words of mine cannot describe the profound lessons in the book as one can understand and gain by only going through it. |
| cool math for hot music: Math Without Numbers Milo Beckman, 2021-01-07 'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful. |
| cool math for hot music: Mathematics, Nature, Art Maria Mannone, 2019 This book presents images from nature investigated in light of mathematics (category theory), and their possible musical rendition. |
| cool math for hot music: Calculus on Manifolds Michael Spivak, 1965 This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of advanced calculus in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. |
| cool math for hot music: Music by the Numbers Eli Maor, 2020-03-10 How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century. |
| cool math for hot music: Singapore Math Challenge, Grades 2 - 5 Frank Schaffer Publications, 2013-02-01 Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics. |
| cool math for hot music: Number 1 Teacher Steven L. Layne, 2013-09-20 From the five lines on a music staff to the seven colors of the rainbow, all the way up to the famous 100th day of school, Number 1 Teacher: A School Counting Book takes a by-the-numbers approach to helping young readers understand and identify many of the concepts and lessons they'll learn in elementary school. There are 3 forms of matter we learn in science class-- One is liquid; two is solid; and the third is gas. Geography, music, and how to tell time are just a few of the many topics featured. From the husband-and-wife writing team who brought us T is for Teacher: A School Alphabet now comes Number 1 Teacher to help students focus on what counts to make the most of their school days.Steven L. and Deborah Dover Layne also wrote the popular T is for Teachers: A School Alphabet, which received a Learning magazine Teachers' Choice Award for Children's Books. Well-regarded educators and literacy consultants, the Laynes live with their young children in St. Charles, Illinois. Doris Ettlinger graduated from the Rhode Island School of Design and has numerous picture books to her credit. Her other books with Sleeping Bear Press include T is for Teachers and most recently, The Orange Shoes. Doris lives, draws, and teaches in an old grist mill on the banks of the Musconetcong River in western New Jersey. |
| cool math for hot music: Why Pi? Johnny Ball, 2009-08-31 Discover how maths applies to everything with Johnny Ball Join Johnny Ball as he shows your child that maths isn't just numbers and sums, it's a fundamental, incredible, magical way to find out how everything works. From Pi, the amazing number that's vital for so much of everyday life, to perfect proportions - did you know Leonardo da Vinci worked out a person's ear is one-third the length of their face? - discover how numbers, from ancient times to the modern day, have enabled us to explore, build and discover just about everything. With puzzles to solve, conundrums to crack and incredible tricks to show to friends, Johnny Ball will teach your child to become a mathmagician! |
| cool math for hot music: Girls Get Curves Danica McKellar, 2012-10-02 New York Times bestselling author Danica McKellar makes it a breeze to excel in high school geometry! Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes—with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find: • Time-saving tips and tricks for homework and tests • Illuminating practice problems (and proofs!) with detailed solutions • Totally relateable real-world examples • True stories from Danica’s own life as an actress and math student • A Troubleshooting Guide, for getting unstuck during even the trickiest proofs! With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise! |
| cool math for hot music: The Music of Pythagoras Kitty Ferguson, 2011-01-10 The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him, wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood. |
| cool math for hot music: The Last Lecture Randy Pausch, Jeffrey Zaslow, 2010 The author, a computer science professor diagnosed with terminal cancer, explores his life, the lessons that he has learned, how he has worked to achieve his childhood dreams, and the effect of his diagnosis on him and his family. |
| cool math for hot music: Power in Numbers Talithia Williams, 2018-04-10 From rocket scientists to code breakers, “fascinating stories” of women who overcame obstacles, shattered stereotypes, and pursued their passion for math (Notices of the American Mathematical Society). With more than 200 photos and original interviews with several of the amazing women covered, Power in Numbers: The Rebel Women of Mathematics is a full-color volume that puts a spotlight on the influence of women on the development of mathematics over the last two millennia. Each biography reveals the life of a different female mathematician, from her childhood and early influences to the challenges she faced and the great achievements she made in spite of them. Learn how: After her father terminated her math lessons, Sofia Kovalevskaya snuck algebra books into her bed to read at night Emmy Noether became an invaluable resource to Albert Einstein while she was in the Navy Native American rocket scientist Mary Golda Ross developed designs for fighter jets and missiles in a top-secret unit Katherine Johnson’s life-or-death calculations at NASA meant that astronauts such as Alan Shepard and John Glenn made it home alive Shakuntala Devi multiplied massive numbers in her head so her family could eat at night Pamela Harris proved her school counselors wrong when they told her she would only succeed as a bilinguial secretary Carla Cotwright-Williams began her life in the dangerous streets of South-Central Los Angeles before skyrocketing to a powerful career with the Department of Defense in Washington, DC These women are a diverse group, but their stories have one thing in common: At some point on their journeys, someone believed in them—and made them think the impossible was perhaps not so impossible. “A quick read . . . full of dramatic stories and eye-catching illustrations.” —MAA Reviews “I found myself marveling at the personal anecdotes and quotes throughout the book.” —Notices of the American Mathematical Society |
| cool math for hot music: Energy and Human Ambitions on a Finite Planet Thomas Murphy, Jr., 2021-03 Textbook for general-education college course on the physics of energy and its role in the broader context of society. Topics include exponential growth, economic growth, population, the role of space exploration, energy units, thermal energy, fossil fuels, climate change, hydroelectricity, wind power, solar power, biological energy, nuclear energy, comparison of alternative energy options, the role of human psychology, prospects for a plan, and adaptation strategies. Appendices include refreshers on math and chemistry, selected answers from end-of-chapter problems, and worthwhile tangents. Contains 195 graphics, 70 tables, a glossary, bibliography, and index. |
| cool math for hot music: Dear Data Giorgia Lupi, Stefanie Posavec, 2016-09-13 Equal parts mail art, data visualization, and affectionate correspondence, Dear Data celebrates the infinitesimal, incomplete, imperfect, yet exquisitely human details of life, in the words of Maria Popova (Brain Pickings), who introduces this charming and graphically powerful book. For one year, Giorgia Lupi, an Italian living in New York, and Stefanie Posavec, an American in London, mapped the particulars of their daily lives as a series of hand-drawn postcards they exchanged via mail weekly—small portraits as full of emotion as they are data, both mundane and magical. Dear Data reproduces in pinpoint detail the full year's set of cards, front and back, providing a remarkable portrait of two artists connected by their attention to the details of their lives—including complaints, distractions, phone addictions, physical contact, and desires. These details illuminate the lives of two remarkable young women and also inspire us to map our own lives, including specific suggestions on what data to draw and how. A captivating and unique book for designers, artists, correspondents, friends, and lovers everywhere. |
| cool math for hot music: A Quick History of Maths Clive Gifford, 2020-03-31 A Quick History of Maths is 43,000 years of mathematical discoveries packed into one book, plus lots of jokes. |
| cool math for hot music: Basic Music Theory Jonathan Harnum, 2005 Basic Music Theory takes you through the sometimes confusing world of written music with a clear, concise style that is at times funny and always friendly. The book is written by an experienced teacher using methods refined over more than ten years in his private teaching studio and in schools. --from publisher description. |
| cool math for hot music: Project Hail Mary Andy Weir, 2021-05-04 #1 NEW YORK TIMES BESTSELLER • From the author of The Martian, a lone astronaut must save the earth from disaster in this “propulsive” (Entertainment Weekly), cinematic thriller full of suspense, humor, and fascinating science—in development as a major motion picture starring Ryan Gosling. HUGO AWARD FINALIST • ONE OF THE YEAR’S BEST BOOKS: Bill Gates, GatesNotes, New York Public Library, Parade, Newsweek, Polygon, Shelf Awareness, She Reads, Kirkus Reviews, Library Journal • “An epic story of redemption, discovery and cool speculative sci-fi.”—USA Today “If you loved The Martian, you’ll go crazy for Weir’s latest.”—The Washington Post Ryland Grace is the sole survivor on a desperate, last-chance mission—and if he fails, humanity and the earth itself will perish. Except that right now, he doesn’t know that. He can’t even remember his own name, let alone the nature of his assignment or how to complete it. All he knows is that he’s been asleep for a very, very long time. And he’s just been awakened to find himself millions of miles from home, with nothing but two corpses for company. His crewmates dead, his memories fuzzily returning, Ryland realizes that an impossible task now confronts him. Hurtling through space on this tiny ship, it’s up to him to puzzle out an impossible scientific mystery—and conquer an extinction-level threat to our species. And with the clock ticking down and the nearest human being light-years away, he’s got to do it all alone. Or does he? An irresistible interstellar adventure as only Andy Weir could deliver, Project Hail Mary is a tale of discovery, speculation, and survival to rival The Martian—while taking us to places it never dreamed of going. |
| cool math for hot music: The Song Machine: Inside the Hit Factory John Seabrook, 2015-10-05 An utterly satisfying examination of the business of popular music. —Nathaniel Rich, The Atlantic There’s a reason today’s ubiquitous pop hits are so hard to ignore—they’re designed that way. The Song Machine goes behind the scenes to offer an insider’s look at the global hit factories manufacturing the songs that have everyone hooked. Full of vivid, unexpected characters—alongside industry heavy-hitters like Katy Perry, Rihanna, Max Martin, and Ester Dean—this fascinating journey into the strange world of pop music reveals how a new approach to crafting smash hits is transforming marketing, technology, and even listeners’ brains. You’ll never think about music the same way again. A Wall Street Journal Best Business Book |
| cool math for hot music: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| cool math for hot music: Making Musical Time Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey, 2021-11-15 This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context. The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories. Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians. |
| cool math for hot music: Musical Creativity Guerino Mazzola, Joomi Park, Florian Thalmann, 2011-11-03 This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity processes. After a thorough introduction, the book offers a first practical part with a detailed tutorial for students in composition and improvisation, using musical instruments and music software. The second, theoretical part deals with historical, actual, and new principles of creative processes in music, based on the results and methods developed in the first author’s book Topos of Music and referring to semiotics, predicative objects, topos theory, and object-oriented concept architectures. The third part of the book details four case studies in musical creativity, including an analysis of the six variations of Beethoven's sonata op. 109, a discussion of the creative process in a CD coproduced in 2011 by the first and second authors, a recomposition of Boulez’s Structures pour deux pianos using the Rubato software module BigBang developed by the third author, and the Escher theorem from mathematical gesture theory in music. This is both a textbook addressed to undergraduate and graduate students of music composition and improvisation, and also a state-of-the-art survey addressed to researchers in creativity studies and music technology. The book contains summaries and end-of-chapter questions, and the authors have used the book as the main reference to teach an undergraduate creativity studies program and also to teach composition. The text is supported throughout with musical score examples. |
| cool math for hot music: Into the Cool Eric D. Schneider, Dorion Sagan, 2005-06 The authors look to the laws of thermodynamics for answers to the questions of evolution, ecology, economics, and even life's origin. |
| cool math for hot music: The Cult of Smart Fredrik deBoer, 2020-08-04 Named one of Vulture’s Top 10 Best Books of 2020! Leftist firebrand Fredrik deBoer exposes the lie at the heart of our educational system and demands top-to-bottom reform. Everyone agrees that education is the key to creating a more just and equal world, and that our schools are broken and failing. Proposed reforms variously target incompetent teachers, corrupt union practices, or outdated curricula, but no one acknowledges a scientifically-proven fact that we all understand intuitively: Academic potential varies between individuals, and cannot be dramatically improved. In The Cult of Smart, educator and outspoken leftist Fredrik deBoer exposes this omission as the central flaw of our entire society, which has created and perpetuated an unjust class structure based on intellectual ability. Since cognitive talent varies from person to person, our education system can never create equal opportunity for all. Instead, it teaches our children that hierarchy and competition are natural, and that human value should be based on intelligence. These ideas are counter to everything that the left believes, but until they acknowledge the existence of individual cognitive differences, progressives remain complicit in keeping the status quo in place. This passionate, voice-driven manifesto demands that we embrace a new goal for education: equality of outcomes. We must create a world that has a place for everyone, not just the academically talented. But we’ll never achieve this dream until the Cult of Smart is destroyed. |
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Apr 30, 2024 · The average cost of a CO2 laser treatment is $2,981, according to hundreds of real patient reviews.Prices can vary widely, depending on factors like your provider's location, …
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Apr 9, 2024 · CoolSculpting is a nonsurgical body contouring treatment that uses cryolipolysis (fat freezing) to reduce pockets of stubborn fat in targeted areas.
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Jun 13, 2023 · Your provider will move the handheld Coolaser across the entire treatment area, zapping your skin as cool air blows. The cooling effect (and numbing cream) should reduce …
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Aug 14, 2023 · CoolTone is a noninvasive body contouring treatment that was FDA-cleared in June 2019 to strengthen and tone muscles in the thighs, butt, and abdomen.
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Nov 12, 2024 · When considering treatments like the Cool Peel laser, especially for under-eye tightening on olive-toned skin (Fitzpatrick skin types III-IV), it's essential to proceed with …
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Feb 21, 2012 · I got cool sculpting 6 days ago and the pain keeps getting worse. It is like I have a belly full of broken glass. Is there anything I can do to ease the pain (not discomfort - PAIN) …
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