Classical Form

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Classical Form

Author : William E. Caplin
Publisher : Oxford University Press
Page : 320 pages
File Size : 53,8 Mb
Release : 2000-12-28
Category : Music
ISBN : 9780199881758

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Classical Form by William E. Caplin Pdf

Building on ideas first advanced by Arnold Schoenberg and later developed by Erwin Ratz, this book introduces a new theory of form for instrumental music in the classical style. The theory provides a broad set of principles and a comprehensive methodology for the analysis of classical form, from individual ideas, phrases, and themes to the large-scale organization of complete movements. It emphasizes the notion of formal function, that is, the specific role a given formal unit plays in the structural organization of a classical work.

Analyzing Classical Form

Author : William E. Caplin,William Earl Caplin
Publisher : Oxford University Press
Page : 759 pages
File Size : 40,5 Mb
Release : 2013-07
Category : Music
ISBN : 9780199987290

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Analyzing Classical Form by William E. Caplin,William Earl Caplin Pdf

Analyzing Classical Form offers an approach to the analysis of musical form that is especially suited for classroom use at both undergraduate and graduate levels. Students will learn how to make complete harmonic and formal analyses of music drawn from the instrumental works of Haydn, Mozart, and Beethoven.

Topics in Classical Automorphic Forms

Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 47,7 Mb
Release : 1997
Category : Automorphic forms
ISBN : 9780821807774

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Topics in Classical Automorphic Forms by Henryk Iwaniec Pdf

This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR

Modular Forms: A Classical Approach

Author : Henri Cohen,Fredrik Strömberg
Publisher : American Mathematical Soc.
Page : 700 pages
File Size : 44,6 Mb
Release : 2017-08-02
Category : Forms (Mathematics).
ISBN : 9780821849477

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Modular Forms: A Classical Approach by Henri Cohen,Fredrik Strömberg Pdf

The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and “fun” subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, aims to give a complete picture of the classical aspects of the subject, with an emphasis on explicit formulas. After a number of motivating examples such as elliptic functions and theta functions, the modular group, its subgroups, and general aspects of holomorphic and nonholomorphic modular forms are explained, with an emphasis on explicit examples. The heart of the book is the classical theory developed by Hecke and continued up to the Atkin–Lehner–Li theory of newforms and including the theory of Eisenstein series, Rankin–Selberg theory, and a more general theory of theta series including the Weil representation. The final chapter explores in some detail more general types of modular forms such as half-integral weight, Hilbert, Jacobi, Maass, and Siegel modular forms. Some “gems” of the book are an immediately implementable trace formula for Hecke operators, generalizations of Haberland's formulas for the computation of Petersson inner products, W. Li's little-known theorem on the diagonalization of the full space of modular forms, and explicit algorithms due to the second author for computing Maass forms. This book is essentially self-contained, the necessary tools such as gamma and Bessel functions, Bernoulli numbers, and so on being given in a separate chapter.

Analyzing Classical Form

Author : William E. Caplin
Publisher : Oxford University Press
Page : 528 pages
File Size : 44,5 Mb
Release : 2013-10-08
Category : Music
ISBN : 9780199987306

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Analyzing Classical Form by William E. Caplin Pdf

Analyzing Classical Form builds upon the foundations of the author's critically acclaimed Classical Form by offering an approach to the analysis of musical form that is especially suited for classroom use. Providing ample material for study in both undergraduate and graduate courses, Analyzing Classical Form presents the most up-to-date version of the author's "theory of formal functions." Students will learn how to make complete harmonic and formal analyses of music drawn from the instrumental works of Haydn, Mozart, and Beethoven. Part 1 introduces the principal theme-types of classical instrumental music; part 2 provides a methodology for analyzing sonata form, the most important formal type in this style period; and part 3 considers other full-movement forms found in this repertory (such as minuet, rondo, and concerto). The chapters are organized in a way that presents the most basic materials upfront and then leads the student through more details and finer points of theory. Every topic is illustrated with annotated musical examples; as well, the book contains many unannotated examples that can be used for in-class discussion and for out-of-class analytical exercises. A complete glossary of terms and questions for reviewing the theory will help students assimilate the many theoretical concepts employed in the book. A companion website hosted by the author at music.mcgill.ca/acf/ provides audio and musical scores for all of the examples in the book as well as additional examples for the analysis of the simple theme-types presented in part 1.

Classical Fake Book (Songbook)

Author : Hal Leonard Corp.
Publisher : Hal Leonard Corporation
Page : 1061 pages
File Size : 46,7 Mb
Release : 1992-02-01
Category : Music
ISBN : 9781458492043

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Classical Fake Book (Songbook) by Hal Leonard Corp. Pdf

(Fake Book). A comprehensive reference for all classical music lovers, the second edition of this fake book features 250 pieces added since the last edition. Imagine having one handy volume that includes everything from Renaissance music to Vivaldi to Mozart to Mendelssohn to Debussy to Stravinsky, and you have it here! We have included as much of the world's most familiar classical music as possible, assembling more than 850 beloved compositions from ballets, chamber music, choral music, concertos, operas, piano music, waltzes and more. Featuring indexes by composer, title and genre, as well as a timeline of major classical composers, this encyclopedic fake book is great to use for playing and performing, but it's also a terrific resource for concert-goers, music students and music lovers. The chords of the harmony are indicated, and lyrics, in the original language, are included where appropriate.

Binary Quadratic Forms

Author : Duncan A. Buell
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461245421

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Binary Quadratic Forms by Duncan A. Buell Pdf

The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadratic forms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the "data," and then proving that the patterns result from the conclusion of some provable theorem.

The Classical Music Book

Author : DK
Publisher : Penguin
Page : 713 pages
File Size : 51,9 Mb
Release : 2018-12-04
Category : Music
ISBN : 9781465483164

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The Classical Music Book by DK Pdf

Learn about the world’s greatest classical compositions and musical traditions in The Classical Music Book. Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Classic Music in this overview guide to the subject, great for novices looking to find out more and experts wishing to refresh their knowledge alike! The Classical Music Book brings a fresh and vibrant take on the topic through eye-catching graphics and diagrams to immerse yourself in. This captivating book will broaden your understanding of Classical Music, with: - More than 90 pieces of world-famous music - Packed with facts, charts, timelines and graphs to help explain core concepts - A visual approach to big subjects with striking illustrations and graphics throughout - Easy to follow text makes topics accessible for people at any level of understanding The Classical Music Book is a captivating introduction to music theory, crucial composers and the impact of seminal pieces, aimed at adults with an interest in the subject and students wanting to gain more of an overview. Here you’ll discover more than 90 works by famous composers from the early period to the modern day, through exciting text and bold graphics. Your Classical Music Questions, Simply Explained From Mozart to Mendelssohn, this fresh new guide goes beyond your typical music books, offering a comprehensive overview to classical music history and biography. If you thought it was difficult to learn about music theory, The Classical Music Book presents key information in an easy to follow layout. Explore the main ideas underpinning the world’s greatest compositions and musical traditions, and define their importance to the musical canon and into their wider social, cultural, and historical context. The Big Ideas Series With millions of copies sold worldwide, The Classical Music Book is part of the award-winning Big Ideas series from DK. The series uses striking graphics along with engaging writing, making big topics easy to understand.

Siegel Modular Forms

Author : Ameya Pitale
Publisher : Springer
Page : 138 pages
File Size : 50,5 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9783030156756

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Siegel Modular Forms by Ameya Pitale Pdf

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation. Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.

The Giant Book of Classical Sheet Music

Author : Alfred Music
Publisher : Alfred Music
Page : 296 pages
File Size : 46,9 Mb
Release : 2013-10-31
Category : Music
ISBN : 9781470616205

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The Giant Book of Classical Sheet Music by Alfred Music Pdf

With more than 80 essential masterworks arranged for easy piano, this book guarantees a lifetime of exploration and enjoyment at the keys. Titles: * 1812 Overture (Tchaikovsky) * Air on the G String (Bach) * Andaluza No. 5 (Granados) * Anvil Chorus (Verdi) * Ave Maria (Bach-Gounod) * Ballade No. 1 (Chopin) * Barcarolle from Tales of Hoffmann (Offenbach) * The Blue Danube (Strauss) * Brandenburg Concerto No. 3 (Bach) * Bridal Chorus, from Lohengrin (Wagner) * Can-Can (Offenbach) * Canon in D (Pachelbel) * Clair de lune (Debussy) * Doretta's Song (Puccini) * The Entertainer (Joplin) * Egmont Overture (Beethoven) * Eine kleine Nachtmusik (Mozart) * "Emperor" Concerto (Beethoven) * Fantaisie-Impromptu (Chopin) * Flower Duet (Delibes) * Funeral March of a Marionette (Gounod) * The Garland Waltz, from Sleeping Beauty (Tchaikovsky) * Habanera (Bizet) * Hallelujah Chorus (Handel) * Hornpipe (Handel) * Hungarian Dance No. 5 (Brahms) * Intermezzo (Mascagni) * In the Hall of the Mountain King (Grieg) * Jesu, Joy of Man's Desiring (Bach) * L'Arlí©sienne Suite No. 1 (Bizet) * Líæ ci darem la mano (Mozart) * La donna í mobile (Verdi) * Libiamo, from La Traviata (Verdi) * Mandolin Concerto in C Major (Vivaldi) * Maple Leaf Rag (Joplin) * March from The Nutcracker (Tchaikovsky) * March of the Toreadors (Bizet) * Meditation, from Thaí¿s (Massenet) * "Merry Widow" Waltz (Lehíçr) * "Military" Polonaise (Chopin) * "Minute" Waltz (Chopin) * The Moldau (Smetana) * "Moonlight" Sonata (Beethoven) * Morning Mood (Grieg) * Musetta's Waltz (Puccini) * "New World" Symphony (Dvo�»ak) * Nocturne, Op. 55, No. 1 (Chopin) * O mio babbino caro (Puccini) * Ode to Joy (Beethoven) * Overture from The Marriage of Figaro (Mozart) * "Pathí©tique" Sonata (Beethoven) * Pavane (Faurí©) * Piano Concerto No. 1 (Tchaikovsky) * Piano Sonata No. 11 (Mozart) * Polovetsian Dance (Borodin) * Pomp and Circumstance (Elgar) * Prelude from Cello Suite No. 1 (Bach) * Prelude, Op. 28, No. 4 (Chopin) * Prince of Denmark's March (Clarke) * Queen of the Night Aria (Mozart) * "Raindrop" Prelude (Chopin) * "Revolutionary" Etude (Chopin) * Rondeau from Suite de symphonies (Mouret) * Rondo alla Turca (Mozart) * Sheep May Safely Graze (Bach) * Solace (Joplin) * The Sorcerer's Apprentice (Dukas) * Spring, from The Four Seasons (Vivaldi) * Stí_ndchen (Schubert) * "Surprise" Symphony (Haydn) * The Swan (Saint-Saí‚ns) * Swan Lake, Act I Finale (Tchaikovsky) * Symphony No. 5 (Beethoven) * Symphony No. 40 (Mozart) * Toccata in D Minor (Bach) * Toreador Song (Bizet) * Turkish March (Beethoven) * Un bel díå (Puccini) * "Unfinished" Symphony (Schubert) * Variations on "Ah, vous dirai-je, Maman" (Mozart) * Voi, che sapete (Mozart) * Waltz, Op. 39, No. 15 (Brahms) * Wedding March from A Midsummer Night's Dream (Mendelssohn)

Aesthetic Experiences and Classical Antiquity

Author : Jonas Grethlein
Publisher : Cambridge University Press
Page : 317 pages
File Size : 55,9 Mb
Release : 2017-11-02
Category : Art
ISBN : 9781107192652

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Aesthetic Experiences and Classical Antiquity by Jonas Grethlein Pdf

This book investigates the nature of aesthetic experience with the help of ancient material, exploring our responses to both narratives and images.

Haydn and the Classical Variation

Author : Elaine Rochelle Sisman
Publisher : Harvard University Press
Page : 336 pages
File Size : 52,7 Mb
Release : 1993
Category : Biography & Autobiography
ISBN : 067438315X

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Haydn and the Classical Variation by Elaine Rochelle Sisman Pdf

Sisman aims to demonstrate that it was Haydn's prophetic innovations that truly created the Classical variation. Her analysis reflects both the musical thinking of the Classical period and contemporary critical interests. The book offers a revaluation of t

Formal Functions in Perspective

Author : Steven Vande Moortele,Julie Pedneault-Deslauriers,Nathan John Martin
Publisher : Boydell & Brewer
Page : 466 pages
File Size : 54,8 Mb
Release : 2015
Category : Music
ISBN : 9781580465182

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Formal Functions in Perspective by Steven Vande Moortele,Julie Pedneault-Deslauriers,Nathan John Martin Pdf

Presents thirteen studies that engage with the notion of formal function in a variety of ways

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition

Author : David Beach,Ryan McClelland
Publisher : Routledge
Page : 386 pages
File Size : 45,8 Mb
Release : 2012-05-04
Category : Music
ISBN : 9781136329753

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Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition by David Beach,Ryan McClelland Pdf

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition is a textbook for upper-level undergraduate and graduate courses in music analysis. It outlines a process of analyzing works in the Classical tradition by uncovering the construction of a piece of music—the formal, harmonic, rhythmic, and voice-leading organizations—as well as its unique features. It develops an in-depth approach that is applied to works by composers including Haydn, Mozart, Beethoven, Schubert, Schumann, and Brahms. The book begins with foundational chapters in music theory, starting with basic diatonic harmony and progressing rapidly to more advanced topics, such as phrase design, phrase expansion, and chromatic harmony. The second part contains analyses of complete musical works and movements. The text features over 150 musical examples, including numerous complete annotated scores. Suggested assignments at the end of each chapter guide students in their own musical analysis.

Analyzing Classical Form

Author : William Earl Caplin,William E. Caplin
Publisher : Oxford University Press
Page : 759 pages
File Size : 41,6 Mb
Release : 2013-08
Category : Music
ISBN : 9780199747184

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Analyzing Classical Form by William Earl Caplin,William E. Caplin Pdf

Analyzing Classical Form offers an approach to the analysis of musical form that is especially suited for classroom use at both undergraduate and graduate levels. Students will learn how to make complete harmonic and formal analyses of music drawn from the instrumental works of Haydn, Mozart, and Beethoven.