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 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.
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
This study is a groundbreaking investigation into the formative influence of music on Virginia Woolf's writing. In this unique study Emma Sutton discusses all of Woolf's novels as well as selected essays and short fiction, offering detailed commentaries on Woolf's numerous allusions to classical repertoire and to composers including Bach, Mozart, Beethoven and Wagner. Sutton explores Woolf's interest in the contested relationship between politics and music, placing her work in a matrix of ideas about music and national identity, class, anti-Semitism, pacifism, sexuality and gender. The study also considers the formal influence of music - from fugue to Romantic opera - on Woolf's prose and narrative techniques. The analysis of music's role in Woolf's aesthetics and fiction is contextualized in accounts of her musical education, activities as a listener, and friendships with musicians; and the study outlines the relationship between her 'musicalized' work and that of contemporaries including Joyce, Lawr
This Companion to Schubert examines the career, music, and reception of one of the most popular yet misunderstood and elusive composers. Sixteen chapters by leading Schubert scholars make up three parts. The first seeks to situate the social, cultural, and musical climate in which Schubert lived and worked, the second surveys the scope of his musical achievement, and the third charts the course of his reception from the perceptions of his contemporaries to the assessments of posterity. Myths and legends about Schubert the man are explored critically and the full range of his musical accomplishment is examined.
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.
(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.
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.
Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of π. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it.This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.
