1.

Record Nr.

UNINA9910789053103321

Autore

Beethoven Ludwig van <1770-1827.>

Titolo

Beethoven, as revealed in his own words : the man and the artist / / Ludwig van Beethoven ; edited by  Friedrich Kerst

Pubbl/distr/stampa

[Auckland, New Zealand] : , : Floating Press, , 1904

2008

ISBN

1-77556-552-1

Descrizione fisica

1 online resource (152 p.)

Altri autori (Persone)

KerstFriedrich <1870-1961.>

Disciplina

780.924

Soggetti

Composers - Germany

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

Title; Contents; Brief Biographical Sketch; Preface; Concerning Art; Love of Nature; Concerning Texts; On Composing; On Performing Music; On His Own Works; On Art and Artists; Beethoven as Critic; On Education; On His Own Disposition and Character; The Sufferer; Worldly Wisdom; God; Appendix

Sommario/riassunto

The following book consists of brief biographical commentaries about Beethoven, each followed by sections of quotations attributed to the muse. In these quotes, Beethoven demonstrates his intense preoccupation (or obsession) with thinking artistically and intelligently, and with helping to alleviate man's suffering by providing man with musical artworks that could enlighten him, so as to become educated enough to pull himself out of his misery. He felt immediate...



2.

Record Nr.

UNINA9910303447003321

Autore

Mitrea Dorina

Titolo

Distributions, Partial Differential Equations, and Harmonic Analysis / / by Dorina Mitrea

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-030-03296-5

Edizione

[2nd ed. 2018.]

Descrizione fisica

1 online resource (XXIII, 600 p. 1 illus.)

Collana

Universitext, , 0172-5939

Disciplina

515.782

Soggetti

Differential equations, Partial

Functional analysis

Fourier analysis

Potential theory (Mathematics)

Partial Differential Equations

Functional Analysis

Fourier Analysis

Potential Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References. .

Sommario/riassunto

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a



large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph). .