Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

    Maybe they’re even suspicious of it. John Coltrane’s saxophonic flights of fancy, Jimi Hendrix’s feedback drenched guitar solos, Ravi Shankar’s sitar extrapolations—all these sounds seem like so much noodling or jamming, indulgent self-expression. “Just” improvising, as is sometimes said. For these music fans, it seems natural that music is meant to be composed. In the first book of its kind, John Corbett’s A Listener’s Guide to Free Improvisation provides a how-to manual for the most extreme example of spontaneous improvising: music with no pre-planned material at all. Drawing on over three decades of writing about, presenting, playing, teaching, and studying freely improvised music, Corbett offers an enriching set of tools that show any curious listener how to really listen, and he encourages them to enjoy the human impulse— found all around the world— to make up music on the spot.           Corbett equips his reader for a journey into a difficult musical landscape, where there is no steady beat, no pre-ordained format, no overarching melodic or harmonic framework, and where tones can ring with the sharpest of burrs. In “Fundamentals,” he explores key areas of interest, such as how the musicians interact, the malleability of time, overcoming impatience, and watching out for changes and transitions; he grounds these observations in concrete listening exercises, a veritable training regime for musical attentiveness. Then he takes readers deeper in “Advanced Techniques,” plumbing the philosophical conundrums at the heart of free improvisation, including topics such as the influence of the audience and the counterintuitive challenge of listening while asleep. Scattered throughout are helpful and accessible lists of essential resources—recordings, books, videos— and a registry of major practicing free improvisors from Noël Akchoté to John Zorn, particularly essential because this music is best experienced live.           The result is a concise, humorous, and inspiring guide, a unique book that will help transform one of the world’s most notoriously unapproachable artforms into a rewarding and enjoyable experience.

    Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system.Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.

    In The Master Algorithm, Pedro Domingos lifts the veil to give us a peek inside the learning machines that power Google, Amazon, and your smartphone. He assembles a blueprint for the future universal learner--the Master Algorithm--and discusses what it will mean for business, science, and society. If data-ism is today's philosophy, this book is its bible.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

    The stories show that, as James Gleick puts it in the foreword, "inspiration strikes willy-nilly." One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a "bathroom sink epiphany" and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge."Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the "conspiracy" of the title); consider whether math is the universal language of nature (allowing for "a unified theory of randomness"); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question "Is mathematics good for you?"ContributorsAriel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie WolchoverCopublished with Quanta Magazine

    This book applies the theory to the design of specialized audio spaces such as the home listening room, the control room, and the multi-track-recording studio.

    Now updated for Pro Tools 10 software, this new edition from the definitive authority on Pro Tools covers everything you need to know to complete a Pro Tools project. Learn to build sessions that include multitrack recordings of live instruments, MIDI sequences, and virtual instruments. Through hands-on tutorials, develop essential techniques for recording, editing, and mixing. The included DVD-ROM offers tutorial files and videos, additional documentation, and Pro Tools sessions to accompany the projects in the text.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.

    In this edition, you will learn about the history and evolution of mixing, various mixing styles, the six elements of a mix, the rules for arrangement and how they impact your mix, where to build your mix from, and mixing tips and tricks for every genre of music. You will also learn the secrets of EQ and the magic frequencies, along with tips and tricks for adding effects, EQ'ing reverbs, effects layering, calculating the delay time, and much more. A lot has changed in the recording industry since the last edition was published seven years ago, so this new edition provides completely updated information on tips for a loud mix, hypercompression, mixing for Internet distribution, warning signs of an amateur mix, MP3 encoding, streaming audio, audio codecs, de-essing, gating, surround sound mixing, and more. There is also a completely new chapter on how to get the most from mixing inside your computer, as well as a new section on the bass/drum relationship and how to make this difficult part of the mix easy. The book wraps up with insightful interviews with the top engineers in the field, including George Massenburg, Allen Sides, Bruce Swedien, Elliot Scheiner, Andy Johns, Nathanial Kunkel, and several others. Join the tens of thousands of engineers who have used this book to master the art of mixing.