Paperback. This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. The first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics who have a basic understanding of matrix algebra. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Linear Algebra I (Paperback)
Publisher: American Mathematical Society, Providence
Publication Date: 2019
Language: English
ISBN 10: 1470448718
ISBN 13: 9781470448714
Binding: Paperback
Condition: new

About this title

Synopsis

This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. This first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book.

About the Author

Frederick P. Greenleaf: Courant Institute, New York University, New York, NY, Sophie Marques: University of Cape Town, Cape Town, South Africa

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