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Author : Lawrence Siegel
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.3/5 (91 download)
Download or read book Schubert's Harmonic Geometry written by Lawrence Siegel and published by . This book was released on 1991 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Suzannah Clark
Publisher : Cambridge University Press
ISBN 13 : 1139500597
Total Pages : pages
Book Rating : 4.1/5 (395 download)
Download or read book Analyzing Schubert written by Suzannah Clark and published by Cambridge University Press. This book was released on 2011-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: When Schubert's contemporary reviewers first heard his modulations, they famously claimed that they were excessive, odd and unplanned. This book argues that these claims have haunted the analysis of Schubert's harmony ever since, outlining why Schubert's music occupies a curiously marginal position in the history of music theory. Analyzing Schubert traces how critics, analysts and historians from the early nineteenth century to the present day have preserved cherished narratives of wandering, alienation, memory and trance by emphasizing the mystical rather than the logical quality of the composer's harmony. This study proposes a new method for analyzing the harmony of Schubert's works. Rather than pursuing an approach that casts Schubert's famous harmonic moves as digressions from the norms of canonical theoretical paradigms, Suzannah Clark explores how the harmonic fingerprints in Schubert's songs and instrumental sonata forms challenge pedigreed habits of thought about what constitutes a theory of tonal and formal order.
Author : Anne Hyland
Publisher : Cambridge University Press
ISBN 13 : 1009210920
Total Pages : 329 pages
Book Rating : 4.0/5 (92 download)
Download or read book Schubert's String Quartets written by Anne Hyland and published by Cambridge University Press. This book was released on 2023-04-20 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fresh analytical and musicological exploration of Schubert's incorporation of lyric elements into sonata form by way of his string quartets.
Author : Julian Horton
Publisher : Routledge
ISBN 13 : 1351549960
Total Pages : 620 pages
Book Rating : 4.3/5 (515 download)
Download or read book Schubert written by Julian Horton and published by Routledge. This book was released on 2017-07-05 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of essays in this volume offer an overview of Schubertian reception, interpretation and analysis. Part I surveys the issue of Schubert‘s alterity concentrating on his history and biography. Following on from the overarching dualities of Schubert explored in the first section, Part II focuses on interpretative strategies and hermeneutic positions. Part III assesses the diversity of theoretical approaches concerning Schubert‘s handling of harmony and tonality whereas the last two parts address the reception of his instrumental music and song. This volume highlights the complexity and diversity of Schubertian scholarship as well as the overarching concerns raised by discrete fields of research in this area.
Author : F. E. Kirby
Publisher : Rowman & Littlefield
ISBN 13 : 149308285X
Total Pages : 467 pages
Book Rating : 4.4/5 (93 download)
Download or read book Music for Piano written by F. E. Kirby and published by Rowman & Littlefield. This book was released on 2023-09-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historical survey focuses on music for piano solo but also includes important compositions for piano duet and two pianos. Scholarly yet readable, it covers the entire repertoire from the Renaissance to the late 20th century and incorporates a bibliography of 1 100 sources for further study.
Author : Dmitri Tymoczko
Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)
Download or read book A Geometry of Music written by Dmitri Tymoczko and published by OUP USA. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.
Author : Oliver Lorscheid
Publisher : American Mathematical Soc.
ISBN 13 : 1470436477
Total Pages : 78 pages
Book Rating : 4.4/5 (74 download)
Download or read book Quiver Grassmannians of Extended Dynkin Type D Part I: Schubert Systems and Decompositions into Affine Spaces written by Oliver Lorscheid and published by American Mathematical Soc.. This book was released on 2019-12-02 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let Q be a quiver of extended Dynkin type D˜n. In this first of two papers, the authors show that the quiver Grassmannian Gre–(M) has a decomposition into affine spaces for every dimension vector e– and every indecomposable representation M of defect −1 and defect 0, with the exception of the non-Schurian representations in homogeneous tubes. The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for M. The method of proof is to exhibit explicit equations for the Schubert cells of Gre–(M) and to solve this system of equations successively in linear terms. This leads to an intricate combinatorial problem, for whose solution the authors develop the theory of Schubert systems. In Part 2 of this pair of papers, they extend the result of this paper to all indecomposable representations M of Q and determine explicit formulae for the F-polynomial of M.
Author : David Damschroder
Publisher : Cambridge University Press
ISBN 13 : 0521764637
Total Pages : 337 pages
Book Rating : 4.5/5 (217 download)
Download or read book Harmony in Schubert: Harmonic progression; 2. Line progression; 3. Common prolongations and successions; 4. Chords built on bII, on III, and from the parallel key; Part II. Masterpieces: 5. 'Ganymed' (D. 544 6. Quintet in A Major ('Trout', D. 667), movement 1; 7. Symphony in B Minor ('unfinished', D. 759), movement 1; 8. Piano Sonata in A Minor (D. 784), movement 2; 9. 'Die junge Nonne' (D. 828); 10. Four Impromptus (D. 899); 11. 'Auf dem Flusse' from Winterreise (D. 911, No. 7); 12. Piano Sonata in B flat Major (D. 960), movement 1; Epilogue; Bibliography written by David Damschroder and published by Cambridge University Press. This book was released on 2010-09-02 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops fresh ideas on harmony through analyzing the music of one of Western music's true innovators, Franz Schubert.
Author : Mariana Montiel
Publisher : World Scientific Publishing
ISBN 13 : 9813235322
Total Pages : 372 pages
Book Rating : 4.8/5 (132 download)
Download or read book Mathematical Music Theory written by Mariana Montiel and published by World Scientific Publishing. This book was released on 2018-11-14 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. remove
Author : Victor G. Kac
Publisher : Springer
ISBN 13 : 3030021912
Total Pages : 540 pages
Book Rating : 4.0/5 (3 download)
Download or read book Lie Groups, Geometry, and Representation Theory written by Victor G. Kac and published by Springer. This book was released on 2018-12-12 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman, D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M. Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index (P.-É. Paradan, M. Vergne) Modality of representations and geometry of θ-groups (V. L. Popov) Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-P. Serre)
Author : Lisa Feurzeig
Publisher : Routledge
ISBN 13 : 131705914X
Total Pages : 215 pages
Book Rating : 4.3/5 (17 download)
Download or read book Schubert's Lieder and the Philosophy of Early German Romanticism written by Lisa Feurzeig and published by Routledge. This book was released on 2016-04-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of Franz Schubert's settings of poetry by Friedrich Schlegel and Novalis introduces the fascinating world of early German Romanticism in the 1790s, when an energetic group of bold young thinkers radically changed the landscape of European thought. Schubert's encounters with early Romantic poetry some twenty years later reanimated some of the movement's central ideas. Schubert set eleven texts from Schlegel's Abendröte poetic cycle and six poems drawn from Novalis' religious and erotic poetry. Through detailed analyses of how various musical structures in these songs mirror and sometimes even explicate the central ideas of the poems, this book argues that Schubert was an abstract thinker who used his medium of music to diagram the complex ideas of a highly intellectual movement. A comparison is made to the hermeneutic theory of that time, primarily that of Schleiermacher, who was himself linked to the early Romantics. Through exploration of ideas such as Schlegel's representation of the necessary interdependence of part and whole and Novalis' strong association of religious and erotic experience, along with their musical representations by Schubert, this book opens an intriguing world of thought for modern readers. At the same time, Feurzeig explores some of Schubert's little-known songs, which range from quirky to charming to exquisite.
Author : René Rusch
Publisher : Indiana University Press
ISBN 13 : 0253067413
Total Pages : 285 pages
Book Rating : 4.2/5 (53 download)
Download or read book Schubert's Instrumental Music and Poetics of Interpretation written by René Rusch and published by Indiana University Press. This book was released on 2023-09-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Music scholarship's views of Franz Schubert's instrumental works continue to evolve. How might aesthetic values, historiographies, revisions to the composer's biography, and disciplinary commitments affect how we interpret his music? Schubert's Instrumental Music and Poetics of Interpretation explores the aesthetic positions and operations that underlie critical assessments of Schubert's instrumental works. In six chapters, each devoted to one or two of Schubert's pieces, René Rusch examines the conditions that have prompted scholarship to reevaluate the composer's music and legacy, considers how different conclusions about his music may be reflective of certain aesthetic values, investigates the role of narrative in both music analysis and constructions of history, and explores alternative forms of coherence through updated analyses of the composer's instrumental works. Rusch's observations and comparative analyses address four significant areas of scholarly focus in Schubert studies, including his approach to chromaticism, his unique musical forms, the relationship between his music and biography, and the influence of Beethoven. Drawing from a range of philosophical, hermeneutic, historical, biographical, theoretical, and analytical sources, Schubert's Instrumental Music and Poetics of Interpretation offers readers a unique and innovative foray into the poetics of contemporary analyses of Schubert's instrumental music and develops new ways to engage with his repertoire.
Author : N.E. Hurt
Publisher : Springer Science & Business Media
ISBN 13 : 9400969635
Total Pages : 351 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometric Quantization in Action written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then, is that they can't see the problem. one day, perhaps you will fmd the final question. G. K. Chesterton, The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geo metry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical progmmming profit from homotopy theory; Lie algebras are relevant to fIltering; and prediction and electrical engineering can use Stein spaces.
Author : Suzannah Clark
Publisher :
ISBN 13 : 9781139111904
Total Pages : 290 pages
Book Rating : 4.1/5 (119 download)
Download or read book Analyzing Schubert written by Suzannah Clark and published by . This book was released on 2011 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigating the reception of Schubert's most daring harmonies, this book uses Schubert's harmonic practice to critique canonical music theories.
Author : H. Groemer
Publisher : Cambridge University Press
ISBN 13 : 0521473187
Total Pages : 343 pages
Book Rating : 4.5/5 (214 download)
Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer and published by Cambridge University Press. This book was released on 1996-09-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
Author : Julian Lowell Coolidge
Publisher : Courier Corporation
ISBN 13 : 0486158535
Total Pages : 484 pages
Book Rating : 4.4/5 (861 download)
Download or read book A History of Geometrical Methods written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2013-02-27 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.
Author :
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.X/5 (1 download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1990-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
