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Synopsis: This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry.
The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.
Title: Matrices and Transformations (Dover Books on...
Publisher: Dover Publications
Publication Date: 1978
Book Condition: Used: Good
Book Description Dover Publications, 1966. Book Condition: Good. New Ed. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP8249682
Book Description Dover Publications, 1966. Book Condition: Fair. New Ed. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Bookseller Inventory # GRP93600816
Book Description Dover Publications, 1966. Book Condition: Good. New Ed. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP14299121
Book Description Dover Publications. Paperback. Book Condition: GOOD. Good clean copy with no missing pages might be an ex library copy; Possibly may have minor marginal notes and or highlighting. Bookseller Inventory # 2782174528
Book Description Dover Publications. Paperback. Book Condition: VERY GOOD. Cover and pages show some wear from reading and storage. May have creases on the cover and binding caused from handling and reading. Some pages may contain writing and or highlighting. Bookseller Inventory # 2782935217
Book Description Dover Publications. Paperback. Book Condition: GOOD. book was well loved but cared for. Possible ex-library copy with all the usual markings and stickers. Some light textual notes, highlighting and underling. Bookseller Inventory # 2782911932
Book Description Dover Publications. Paperback. Book Condition: VERY GOOD. little to no wear, pages are clean. The cover and binding are crisp with next no creases. Bookseller Inventory # 2794294385
Book Description Dover Publications, Incorporated. Paperback. Book Condition: Very Good. Very good condition - book only shows a small amount of wear. Bookseller Inventory # G0486636348I4N00
Book Description Dover Publications. PAPERBACK. Book Condition: Fair. 0486636348 . Bookseller Inventory # GTA5073ABVW090516H0409P
Book Description Dover Publications, 1978. Paperback. Book Condition: Good. We have been selling books online for nearly 20 years, so buy with confidence. Every order is shipped the same day or the next day. This is a used book in good condition and may show some signs of use or wear . Bookseller Inventory # mon0002340463