A well-used general text, this book covers material from figured bass to contemporary practices and ideas in a two-year course. There is a particularly strong chapter on ear training. Organizing progress of study is expedited by having both workbook and text under the same cover.
What are the basic building blocks of the world? This book presents a naturalistic theory saying that the universe and everything in it can be reduced to three fundamental entities: a field, a set of values that can be actualized at different places in the field, and an actualizer of the values. The theory is defended by using it to answer the main questions in metaphysics, such as: What is causality, existence, laws of nature, consciousness, thinking, free will, time, mathematical entities, ethical values, etc.? The theory is compared with the main alternatives and argued to solve problems better than the existing theories. Several new theories are suggested, such as how to understand mental causation, free will and the truth of ethics and mathematics.
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.
(Guitar Educational). Experience must-know music knowledge and wisdom through the highly focused lens of legendary guitar virtuoso Steve Vai. This full-color instructional book written by Vai himself features in-depth discussions of the music theory fundamentals that every aspiring (and veteran) guitar player should know, packed with practical exercises, diagrams, tips, inspiring ideas and concepts, practice methods, and ways of looking at music that you may have never considered. Topics covered include: academic vs. experiential learning * reading and writing music * key signatures * chord scales * rhythm basics * guitar harmonics * modes * and much more.
The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own leisurely treatment. This book provides just that: a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma. The text introduces all main subjects of ``naive'' (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor-Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject.
What are the basic building blocks of the world? This book presents a naturalistic theory saying that the universe and everything in it can be reduced to three fundamental entities: a field, a set of values that can be actualized at different places in the field, and an actualizer of the values. The theory is defended by using it to answer the main questions in metaphysics, such as: What is causality, existence, laws of nature, consciousness, thinking, free will, time, mathematical entities, ethical values, etc.? The theory is compared with the main alternatives and argued to solve problems better than the existing theories. Several new theories are suggested, such as how to understand mental causation, free will and the truth of ethics and mathematics.
This book begins with an extensive review of the chords and keys previously studied, using fresh and interesting material that will provide enjoyment as well as reinforcement. Particularly noteworthy is the systematic presentation of chords in all positions in both hands. Titles: America the Beautiful * Arkansas Traveler * The Battle Hymn of the Republic * Black is the Color of My True Love's Hair * Brahms Lullaby * Canon in D (Pachelbel) * Deep River * Down in the Valley * Farewell to Thee (Aloha Oe) * Fascination * A Festive Rondeau * Frankie and Johnnie * The Hokey-Pokey * The House of the Rising Sun * Introduction and Dance * La Cucaracha * La Donna E Mobile * La Raspa * Light and Blue * Loch Lomond * Lonesome Road * The Marriage of Figaro * Morning Has Broken * Musetta's Waltz * Musette * Night Song * Nobody Knows the Trouble I've Seen * Polyvetsian Dances * Pomp and Circumstance No. 1 * The Riddle * Rock-a My Soul * Roman Holiday * Sakura * Scherzo * Space Shuttle Blues * Swingin' Sevenths * Theme from Symphony No. 6 (Tchaikovsky) * Tumbalalaika * Village Dance * Waves of the Danube * When Johnny Comes Marching Home * You're in My Heart
Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.