1.

Record Nr.

UNINA9910808738103321

Autore

Weintraub Steven H.

Titolo

A guide to advanced linear algebra / / Steven H. Weintraub [[electronic resource]]

Pubbl/distr/stampa

Washington : , : Mathematical Association of America, , 2011

ISBN

0-88385-967-X

Descrizione fisica

1 online resource (xii, 251 pages) : digital, PDF file(s)

Collana

Dolciani Mathematical Expositions, ; v. 44

Dolciani mathematical expositions ; ; no. 44

MAA guides ; ; no. 6

Disciplina

516.3/55

Soggetti

Algebras, Linear

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Nota di bibliografia

Includes bibliographical references (p. 245) and index.

Nota di contenuto

Vector spaces and linear transformations -- Coordinates -- Determinants -- The structure of a linear transformation I -- The structure of a linear transformation II -- Bilinear, sesquilinear, and quadratic forms -- Real and complex inner product spaces -- Matrix groups as Lie groups -- Polynomials -- Modules over principal ideal domains.

Sommario/riassunto

Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.   Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups.   The



book treats vector spaces in full generality, though it concentrates on the finite dimensional case. Also, it treats vector spaces over arbitrary fields, specializing to algebraically closed fields or to the fields of real and complex numbers as necessary.

2.

Record Nr.

UNINA9910143275503321

Autore

Lau Kimberly

Titolo

What goes around comes around : the circulation of proverbs in contemporary life / / edited by Kimberly J. Lau, Peter Tokofsky, Stephen D. Winick

Pubbl/distr/stampa

Logan, : Utah State University Press, c2004

ISBN

9786613267238

9781283267236

1283267233

9780874215120

0874215129

Descrizione fisica

1 online resource (190 pages)

Altri autori (Persone)

LauKimberly J

TokofskyPeter <1963->

WinickStephen D. <1968->

MiederWolfgang

Disciplina

398.9/09

Soggetti

Proverbs - History and criticism

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Essays in honor of Wolfgang Mieder"--P. [ii].

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

What goes around comes around : the circulation of proverbs in contemporary life / Kimberly J. Lau, Peter Tokofsky, and Stephen D. Winick -- "In aqua scribere" : the evolution of a current proverb / Charles Clay Doyle -- "From one act of charity, the world is saved" : creative selection of proverbs in Sephardic narrative / Isaac Jack Levy and Rosemary Levy Zumwalt -- Baseball as (pan)America : a sampling of baseball-related metaphors in Spanish / Shirley L. Arora -- "You can't kill shit" : occupational proverb and metaphorical system among young medical professionals / Stephen D. Winick -- "Cheaters never



prosper" and other lies adults tell kids : proverbs and the culture wars over character / Jay Mechling -- The proverb and fetishism in American advertisements / Anand Prahlad -- "The early bird is worth two in the bush" : Captain Jack Aubrey's fractured proverbs / Jan Harold Brunvand -- As the crow flies : a straightforward study of lineal worldview in American folk speech / Alan Dundes.

Sommario/riassunto

In this collection of essays prominent folklorists look at varied modern uses and contexts of proverbs and proverbial speech, some traditional and conventional, others new and unexpected. After the editors' introduction discussing the history and status of attempts to define proverbs, describing their contemporary circulation, and acknowledging the especially important work of paremiologist Wolfgang Meider, the contributions examine the continuing pervasiveness and idiomatic relevance of proverbs in modern culture.