Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Rethinking Hanslick: Music, Formalism, and Expression' is the first extensive English-language study devoted to Eduard Hanslick--a seminal figure in nineteenth-century musical life. Bringing together eminent scholars from several disciplines, this volume examines Hanslick's contribution to the aesthetics and philosophy of music and looks anew at his literary interests. The essays embrace ways of thinking about Hanslick's writings that go beyond the polarities that have long marked discussion of his work such as form/expression, absolute/program music, objectivity/subjectivity, and formalist/hermeneutic criticism. This approach takes into consideration both Hanslick's important 'On the Musically Beautiful' and his critical and autobiographical writings, demonstrating Hanslick's rich insights into the context in which a musical work is composed, performed, and received. 'Rethinking Hanslick' serves as an invaluable companion to Hanslick's prodigious scholarship and criticism, deepening our understanding of the major themes and ideas of one of the most influential music critics of the nineteenth century. Dr Nicole Grimes is a Marie Curie Fellow at University College Dublin (UCD), and the University of California, Irvine. Dr Siobhán Donovan is a College Lecturer at the School of Languages and Literatures, UCD. Dr Wolfgang Marx is a Senior Lecturer at the School of Music, UCD.

Musical criticism --- Music --- Hermeneutics (Music) --- Music criticism --- Journalism --- History --- Philosophy and aesthetics. --- History and criticism --- Hanslick, Eduard, --- Hanslik, Eduard, --- Гансликъ, Эдуардъ, --- Ganslik, Ėduard, --- Music - 19th century - Philosophy and aesthetics --- Musical criticism - History - 19th century --- Hanslick, Eduard, - 1825-1904 --- Eduard Hanslick. --- absolute/program music. --- aesthetics. --- form/expression. --- formalist/hermeneutic criticism. --- literary interests. --- nineteenth-century musical life. --- objectivity/subjectivity. --- philosophy of music.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Based on a seminar sponsored by the Institute for Advanced Study in 1977-1978, this set of papers introduces micro-local analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups.

Mathematical analysis --- Differential geometry. Global analysis --- 517.98 --- -Advanced calculus --- Analysis (Mathematics) --- Algebra --- Functional analysis and operator theory --- Addresses, essays, lectures --- Mathematical analysis. --- Addresses, essays, lectures. --- -517.1 Mathematical analysis --- 517.98 Functional analysis and operator theory --- -Functional analysis and operator theory --- -517.98 Functional analysis and operator theory --- 517.1 Mathematical analysis --- 517.1. --- 517.1 --- Addition. --- Analytic function. --- Analytic manifold. --- Asymptotic analysis. --- Bernhard Riemann. --- Boundary value problem. --- Bounded operator. --- Cartan subgroup. --- Characterization (mathematics). --- Class function (algebra). --- Closed-form expression. --- Codimension. --- Cohomology. --- Compact space. --- Comparison theorem. --- Contact geometry. --- Continuous function. --- Continuous linear operator. --- Convex hull. --- Cotangent bundle. --- D-module. --- Degenerate bilinear form. --- Diagonal matrix. --- Differentiable manifold. --- Differential operator. --- Dimension (vector space). --- Dimension. --- Elliptic partial differential equation. --- Equation. --- Existence theorem. --- Fourier integral operator. --- Generic point. --- Group theory. --- Harmonic analysis. --- Holomorphic function. --- Holonomic. --- Homogeneous space. --- Hyperfunction. --- Hypersurface. --- Identity element. --- Irreducible representation. --- Killing form. --- Lagrangian (field theory). --- Lie algebra. --- Lie group. --- Linear differential equation. --- Locally compact space. --- Masaki Kashiwara. --- Maximal ideal. --- Monodromy. --- Natural number. --- Neighbourhood (mathematics). --- Ordinary differential equation. --- Orthogonal complement. --- Partial differential equation. --- Path integral formulation. --- Proper map. --- Pseudo-differential operator. --- Regularity theorem. --- Sigurdur Helgason (mathematician). --- Submanifold. --- Subset. --- Summation. --- Symmetric space. --- Symplectic geometry. --- Tangent cone. --- Theorem. --- Topological space. --- Vector bundle. --- Victor Guillemin. --- Weyl group. --- Analyse microlocale

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

An engaging collection of intriguing problems that shows you how to think like a mathematical physicistPaul Nahin is a master at explaining odd phenomena through straightforward mathematics. In this collection of twenty-six intriguing problems, he explores how mathematical physicists think. Always entertaining, the problems range from ancient catapult conundrums to the puzzling physics of a very peculiar kind of glass called NASTYGLASS-and from dodging trucks to why raindrops fall slower than the rate of gravity. The questions raised may seem impossible to answer at first and may require an unexpected twist in reasoning, but sometimes their solutions are surprisingly simple. Nahin's goal, however, is always to guide readers-who will need only to have studied advanced high school math and physics-in expanding their mathematical thinking to make sense of the curiosities of the physical world.The problems are in the first part of the book and the solutions are in the second, so that readers may challenge themselves to solve the questions on their own before looking at the explanations. The problems show how mathematics-including algebra, trigonometry, geometry, and calculus-can be united with physical laws to solve both real and theoretical problems. Historical anecdotes woven throughout the book bring alive the circumstances and people involved in some amazing discoveries and achievements.More than a puzzle book, this work will immerse you in the delights of scientific history while honing your math skills.

Mathematics --- Almost surely. --- Ambiguity. --- Antiderivative. --- Approximation error. --- Arthur C. Clarke. --- Binomial coefficient. --- Binomial theorem. --- Birthday problem. --- Calculation. --- Cauchy–Schwarz inequality. --- Center of mass (relativistic). --- Centrifugal force. --- Closed-form expression. --- Coefficient. --- Combination. --- Computational problem. --- Conjecture. --- Continued fraction. --- Contradiction. --- Coprime integers. --- Counterexample. --- Crossover distortion. --- Cubic function. --- Derivative. --- Detonation. --- Diameter. --- Dimensional analysis. --- Dirac delta function. --- Disquisitiones Arithmeticae. --- Dissipation. --- Energy level. --- Enola Gay. --- Equation. --- Error. --- Expected value. --- Fermat's Last Theorem. --- Fictitious force. --- G. H. Hardy. --- Geometry. --- Googol. --- Gravitational constant. --- Gravity. --- Grayscale. --- Harmonic series (mathematics). --- Hypotenuse. --- Instant. --- Integer. --- Inverse-square law. --- Irrational number. --- MATLAB. --- Mass ratio. --- Mathematical joke. --- Mathematical physics. --- Mathematical problem. --- Mathematician. --- Mathematics. --- Mean value theorem. --- Metric system. --- Minicomputer. --- Monte Carlo method. --- Natural number. --- Oliver Heaviside. --- Paul J. Nahin. --- Pauli exclusion principle. --- Periodic function. --- Phase transition. --- Prime factor. --- Prime number. --- Probability theory. --- Probability. --- Projectile. --- Pure mathematics. --- Quadratic equation. --- Quadratic formula. --- Quantity. --- Quantum mechanics. --- Quintic function. --- Random number. --- Random search. --- Random walk. --- Remainder. --- Resistor. --- Richard Feynman. --- Right angle. --- Second derivative. --- Simulation. --- Slant range. --- Small number. --- Special case. --- Square root. --- Summation. --- The Drunkard's Walk. --- Theorem. --- Thermodynamic equilibrium. --- Thought experiment. --- Trepidation (astronomy). --- Uniform distribution (discrete). --- Upper and lower bounds. --- Weightlessness. --- Zero of a function.