Linear Algebra

James R. Kirkwood (Sweet Briar College, Virginia, USA), Bessie H. Kirkwood

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English

Chapman & Hall/CRC
26 August 2024

Algebra; Applied mathematics

Series: Textbooks in Mathematics

Linear Algebra, James R. Kirkwood and Bessie H. Kirkwood, 978-1-4987-7685-1, K29751

Shelving Guide: Mathematics

This text has a major focus on demonstrating facts and techniques of linear systems that will be invaluable in higher mathematics and related fields. A linear algebra course has two major audiences that it must satisfy. It provides an important theoretical and computational tool for nearly every discipline that uses mathematics. It also provides an introduction to abstract mathematics.

This book has two parts. Chapters 1–7 are written as an introduction. Two primary goals of these chapters are to enable students to become adept at computations and to develop an understanding of the theory of basic topics including linear transformations. Important applications are presented.

Part two, which consists of Chapters 8–14, is at a higher level. It includes topics not usually taught in a first course, such as a detailed justification of the Jordan canonical form, properties of the determinant derived from axioms, the Perron–Frobenius theorem and bilinear and quadratic forms.

Though users will want to make use of technology for many of the computations, topics are explained in the text in a way that will enable students to do these computations by hand if that is desired.

Key features include:

Chapters 1–7 may be used for a first course relying on applications

Chapters 8–14 offer a more advanced, theoretical course

Definitions are highlighted throughout

MATLAB® and R Project tutorials in the appendices

Exercises span a range from simple computations to fairly direct abstract exercises

Historical notes motivate the presentation

By: James R. Kirkwood (Sweet Briar College Virginia USA), Bessie H. Kirkwood
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 790g
ISBN: 9780367569020
ISBN 10: 0367569027
Series: Textbooks in Mathematics
Pages: 414
Publication Date: 26 August 2024
Audience: College/higher education , A / AS level
Format: Paperback
Publisher's Status: Forthcoming

"Jim Kirkwood holds a Ph.D. from University of Virginia. He has had ten mathematics textbooks published on various topics including calculus, real analysis, mathematical biology and mathematical physics. His newest text is ""Markov Processes,"" published by Taylor and Francis, and will be out in January, 2015. His original research was in mathematical physics, and he co-authored the seminal paper in a topic now called Kirkwood-Thomas Theory in mathematical physics. During the summer, he teaches real analysis to entering graduate students at the University of Virginia. He has been awarded several National Science Foundation grants."