Linear Algebra and Matrix Theory

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9780534405816: Linear Algebra and Matrix Theory
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Intended for a serious first course or a second course in linear algebra, this book carries students beyond eigenvalues and eigenvectors to the classification of bilinear forms, normal matrices, spectral decompositions, the Jordan form, and sequences and series of matrices. The authors present the material from a structural point of view: fundamental algebraic properties of the entities involved are emphasized. The approach is particularly important because the mathematical systems encountered in linear algebra furnish a wealth of examples for the structures studied in more advanced courses. By taking a straight and smooth path to the heart of linear algebra, students will be able to make the transition from the intuitive developments of courses at a lower level to the more abstract treatments encountered later.

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From the Back Cover:

Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and accessible manner, presenting notation and terminology clearly and concisely, and providing smooth transitions between topics. The examples and exercises are well designed and will aid students in understanding both computational and theoretical aspects.

This book presents the straightest, smoothest path to the heart of linear algebra. It is the ideal text for undergraduate math majors who have some background in linear algebra and would benefit from a strong foundation for more abstract treatments at a higher level.

About the Author:

Jimmie Gilbert was Professor of Mathematics at the University of South Carolina, Upstate. He received his Ph.D from Auburn University with a specialty in Linear and Abstract Algebras. He authored the first edition of Elements of Modern Algebra in 1970, joined on subsequent editions by his wife and longtime co-author Linda Gilbert. Together they have published titles in College Algebra, Precalculus, College Algebra and Trigonometry, Trigonometry, Intermediate Algebra, and another Cengage Learning title, Linear Algebra and Matrix Theory, now in its second edition. He and Linda have 6 children and 8 grandchildren. In his leisure time Jimmie enjoyed the outdoors, fishing, and gardening.

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Other Popular Editions of the Same Title

9781493307364: Linear Algebra and Matrix Theory

Featured Edition

ISBN 10:  1493307363 ISBN 13:  9781493307364
Publisher: Academic Press, 1991
Softcover

9780122829703: Linear Algebra and Matrix Theory

Academ..., 1995
Hardcover

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Gilbert, Jimmie, Gilbert, Linda
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Gilbert, Jimmie;Gilbert, Linda
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