1.

Record Nr.

UNINA9910464287603321

Autore

Dijk Gerrit van <1939->

Titolo

Distribution theory [[electronic resource] ] : convolution, Fourier transform, and Laplace transform / / Gerrit van Dijk

Pubbl/distr/stampa

Berlin, : De Gruyter, 2013

ISBN

3-11-029851-1

Descrizione fisica

1 online resource (viii, 105 pages) : illustrations

Collana

De Gruyter Textbook

De Gruyter graduate lectures

Classificazione

SK 600

Disciplina

515.782

Soggetti

Theory of distributions (Functional analysis)

Convolutions (Mathematics)

Fourier transformations

Laplace transformation

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Preface -- Contents -- 1 Introduction -- 2 Definition and First Properties of Distributions -- 3 Differentiating Distributions -- 4 Multiplication and Convergence of Distributions -- 5 Distributions with Compact Support -- 6 Convolution of Distributions -- 7 The Fourier Transform -- 8 The Laplace Transform -- 9 Summable Distributions -- 10 Appendix -- 11 Hints to the Exercises -- References -- Index -- Backmatter

Sommario/riassunto

The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added.



2.

Record Nr.

UNINA9910901898703321

Autore

Droegemeier Kelvin <1958->

Titolo

Demystifying the academic research enterprise : becoming a successful scholar in a complex and competitive environment / / Kelvin K. Droegemeier

Pubbl/distr/stampa

Cambridge, Massachusetts : , : The MIT Press, , [2023]

ISBN

9780262377201

0262377209

9780262377218

0262377217

Descrizione fisica

1 online resource

Disciplina

378.0072

Soggetti

Universities and colleges - Research - United States

Research - Moral and ethical aspects - United States

Research - Methodology

Learning and scholarship - United States

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Deep in our bones : why and where we perform research and creative activity -- The money trail : funding for research and creative activity -- Perception and reality : public attitudes, understanding, and use of research -- Essential concepts : performing research and creative activity -- Becoming a detective : finding what you need and using it effectively -- Diving into the pool : research proposals, evaluation processes, and project management -- The give and take of criticism : subjecting research to scrutiny via peer/merit review -- We see the world differently : bias and differing views -- Honesty Is the best policy : ethical conduct and research integrity -- Better safe than sorry : research compliance -- Show time : making your work known to multiple audiences -- Yours, mine, and ours : ownership of research outcomes -- I need you and you need me : collaboration, multi-disciplinary inquiry, and academic-corporate partnerships -- A glass half empty or half full: challenges and opportunities for the U.S. academic research enterprise.



Sommario/riassunto

"Provides a necessary and practical guide to the research enterprise that will introduce graduate students, postdocs, and new faculty across the disciplines to this multifaceted, complex system"--