For intermediate to advanced pianists, written by one of the acknowledged masters of jazz piano playing.

    

    With more than 800,000 copies sold since it was first published thirty years ago, The Inner Game of Tennis became a touchstone for hundreds of thousands of people. Now, the bestselling co-author delivers a book designed to help musicians overcome obstacles, improve concentration, and reduce nervousness, allowing them to reach new levels of performing excellence and musical artistry.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    The various paths are made clear by a concentration on the major works and turningpoints in the music of our time: the new rhythmic force that came in with The Rite of Spring, the unbounded universe of Schoenberg's atonality, the undreamed-of possibilities opened up by electronics, the role of chance in the music of John Cage and the astonishing diversity of minimalism.

    Martini) * Minuet, BWV Anh. II 114/Anh. III 183/Anh. II 115 (J. S. Bach) * Gavotte in G Minor, Gavotte en Rondeau from Suite in G Minor for Klavier, BWV 822 (J. S. Bach) * Humoresque, Op. 101, No. 7 for Piano (A. Dvor�k) * Gavottes I and II from Suite III in C Major for Violoncello, BWV 1009 (J. Becker) * Gavotte in D Major (J. S. Bach) * Bourr�e, Bour�es I and II from Suite III in C Major for Violoncello, BWV 1009 (J. S. Bach). This title is available in SmartMusic.

    Scores include all instrumental parts (even drums!), guitar, and bass in both notation and guitar tab, plus chords, and complete lyrics. 212 songs. 1,136 pages, hardcover in deluxe slip case.

    His tumultuous life and musical brilliance are explored in depth through hundreds of interviews, 49 transcribed musical scores, two hours of recorded all-star performances, and more than 50 rarely seen photos in this stellar tribute to behind-the-scenes Motown. Features a 120-minute CD Allan Slutsky's 2002 documentary of the same name is the winner of the New York Film Critics "Best Documentary of the Year" award

    In Language of the Spirit, renowned music scholar Jan Swafford argues that we have it all wrong: classical music has something for everyone and is accessible to all. Ranging from Gregorian chant to Handel's Messiah, from Vivaldi's The Four Seasons to the postmodern work of Philip Glass, Swafford is an affable and expert guide to the genre. He traces the history of Western music, introduces readers to the most important composers and compositions, and explains the underlying structure and logic of their music.Language of the Spirit is essential reading for anyone who has ever wished to know more about this sublime art.

    The Black Book doesn't include any vocabulary lists, and doesn't advise its readers to rely on math formulas.Instead, The SAT Prep Black Book teaches readers to approach the test the same way that Barrett trains his students. Barrett sees the SAT as a standardized instrument with a specific objective, and reasons that the test must observe certain design guidelines that follow from that unique objective. So this book explains to students how different types of SAT questions are actually written, from the perspective of the College Board: for each question type, Barrett explains the "big secret" of that question type, the rules and patterns that all questions of that type will follow, and, most importantly for readers, exactly how to attack the question type based on the inherent weaknesses of its particular rules and patterns.The book includes over 250 example solutions that demonstrate Barrett's approach against real SAT questions written by the College Board. In order to follow along, students will want a copy of the College Board's book "The Official SAT Study Guide," the source of the questions whose solutions appear in the Black Book.The overall lesson of the SAT Prep Black Book is that the SAT tests very basic concepts in very strange ways, so students should learn the unique habits of the test rather than cramming definitions and formulas. At 330 pages, the book is thorough and detailed in its analysis of the SAT.

    Whether you are just beginning to search beyond basic barre chords or are already an advanced player looking for new sounds and ideas this is the book that will get you there. Designed to inspire creativity this book is a musical treasure chest filled with exciting new ideas and sounds.

    It guides you through every step of writing your own music, from choosing the right rhythm and tempo to creating melodies and chord progressions and working with instruments and voices. In this fun and practical guide, you'll learn how to match keys and chords to the mood you want to convey, work a form without limiting your creativity, and hammer out a musical idea, even when your mind is drawing a blank. You'll find out how to create popular songs, classically structured pieces, and even film, TV, and video game soundtracks. And, you'll learn what you need to know about music composition software, including Finale, Sebelius, Pro Tools, and more. Discover how to:Preserve and organize your musical ideas Work with established chord progressions or create your own Develop great rhythms Select the right instruments Find melodies in your head, your instrument, and the world around you Use major and minor scales Work with modes and moods Build melodic motifs and phrases Use the circle of fifths to harmonize Write for multiple voices Make a demo recording Filled with creative exercises to build your composing skills, Music Composition for Dummies is the resource you need to get that melody out of your head and into the world.

    Everything you ever wanted to know about scales, but were afraid to ask! This book fills you in on major and minor scales; the modes; the blues scale; harmonic minor, melodic minor, chromatic, whole tone & diminished scales; other exotic and ethnic scales; and more. Includes easy-to-read fretboard diagrams, and a bio of Troy Stetina.

    These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.