《线性代数及其应用》LinearAlgebraandItsApplications-5thEdition-DavidC.Lay资源-CSDN文库

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Library of Congress Cataloging-in-Publication Data

Lay, David C.

Linear algebra and its applications / David C. Lay, University of Maryland, College Park, Steven R. Lay, Lee University,

Judi J. McDonald, Washington State University. – Fifth edition.

pages cm

Includes index.

ISBN 978-0-321-98238-4

ISBN 0-321-98238-X

1. Algebras, Linear–Textbooks. I. Lay, Steven R., 1944- II. McDonald, Judi. III. Title.

QA184.2.L39 2016

512

.5–dc23

2014011617

REVISED PAGES

About the Author

David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D.

from the University of California at Los Angeles. David Lay has been an educator

and research mathematician since 1966, mostly at the University of Maryland, College

Park. He has also served as a visiting professor at the University of Amsterdam, the

Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has

published more than 30 research articles on functional analysis and linear algebra.

As a founding member of the NSF-sponsored Linear Algebra Curriculum Study

Group, David Lay has been a leader in the current movement to modernize the linear

algebra curriculum. Lay is also a coauthor of several mathematics texts, including In-

troduction to Functional Analysis with Angus E. Taylor, Calculus and Its Applications,

with L. J. Goldstein and D. I. Schneider, and Linear Algebra Gems—Assets for Under-

graduate Mathematics, with D. Carlson, C. R. Johnson, and A. D. Porter.

David Lay has received four university awards for teaching excellence, including,

in 1996, the title of Distinguished Scholar–Teacher of the University of Maryland. In

1994, he was given one of the Mathematical Association of America’s Awards for

Distinguished College or University Teaching of Mathematics. He has been elected

by the university students to membership in Alpha Lambda Delta National Scholastic

Honor Society and Golden Key National Honor Society. In 1989, Aurora University

conferred on him the Outstanding Alumnus award. David Lay is a member of the Ameri-

can Mathematical Society, the Canadian Mathematical Society, the International Linear

Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society

for Industrial and Applied Mathematics. Since 1992, he has served several terms on the

national board of the Association of Christians in the Mathematical Sciences.

To my wife, Lillian, and our children,

Christina, Deborah, and Melissa, whose

support, encouragement, and faithful

prayers made this book possible.

David C. Lay

REVISED PAGES

Joining the Authorship on the Fifth Edition

Steven R. Lay

Steven R. Lay began his teaching career at Aurora University (Illinois) in 1971, after

earning an M.A. and a Ph.D. in mathematics from the University of California at Los

Angeles. His career in mathematics was interrupted for eight years while serving as a

missionary in Japan. Upon his return to the States in 1998, he joined the mathematics

faculty at Lee University (Tennessee) and has been there ever since. Since then he has

supported his brother David in reﬁning and expanding the scope of this popular linear

algebra text, including writing most of Chapters 8 and 9. Steven is also the author of

three college-level mathematics texts: Convex Sets and Their Applications, Analysis

with an Introduction to Proof, and Principles of Algebra.

In 1985, Steven received the Excellence in Teaching Award at Aurora University. He

and David, and their father, Dr. L. Clark Lay, are all distinguished mathematicians,

and in 1989 they jointly received the Outstanding Alumnus award from their alma

mater, Aurora University. In 2006, Steven was honored to receive the Excellence in

Scholarship Award at Lee University. He is a member of the American Mathematical

Society, the Mathematics Association of America, and the Association of Christians in

the Mathematical Sciences.

Judi J. McDonald

Judi J. McDonald joins the authorship team after working closely with David on the

fourth edition. She holds a B.Sc. in Mathematics from the University of Alberta, and

an M.A. and Ph.D. from the University of Wisconsin. She is currently a professor at

Washington State University. She has been an educator and research mathematician

since the early 90s. She has more than 35 publications in linear algebra research journals.

Several undergraduate and graduate students have written projects or theses on linear

algebra under Judi’s supervision. She has also worked with the mathematics outreach

project Math Central http://mathcentral.uregina.ca/ and continues to be passionate about

mathematics education and outreach.

Judi has received three teaching awards: two Inspiring Teaching awards at the University

of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at

Washington State University. She has been an active member of the International Linear

Algebra Society and the Association for Women in Mathematics throughout her ca-

reer and has also been a member of the Canadian Mathematical Society, the American

Mathematical Society, the Mathematical Association of America, and the Society for

Industrial and Applied Mathematics.

REVISED PAGES

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