Overview
- Contains a unique collection of enriching problems for a wide spectrum of readership
- Discusses all important topics related to the theory of square matrices of order 2
- Presents an enriching source of material for a wide swath of potential readers
- Accessible to readers with a modest background in mathematics
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Table of contents (6 chapters)
Keywords
- special matrices
- problems matrix theory
- elementary transformations
- Cayley-Hamilton theorem
- Jordan canonical theorem
- powers of matrices
- binomial matrix
- Pell's Diophantine equation
- matrix Gamma function
- affine applications
- homothetic transformations
- degenerate conics
- nondegenerate conics
- series mirabilis
- matrix calculus
- functions of matrices
- conics
- homographic sequences
- characteristic polynomial
- matrix Riemann zeta function
About this book
Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1–3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher. In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.
Reviews
“This is a book that contains almost everything you would like to know about 2 x 2 matrices. … the book is addressed mainly to advanced high school students, undergraduate and graduate students and professionals according to their needs for results about 2 x 2 matrices.” (Andreas Arvanitoyeorgos, zbMATH 1367.15001, 2017)
Authors and Affiliations
About the authors
Ovidiu Furdui is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He has published more than 300 problems in journals, with a problem column, from all over the world and he is the author of the Springer text Limits, Series and Fractional Part Integrals.
Bibliographic Information
Book Title: Square Matrices of Order 2
Book Subtitle: Theory, Applications, and Problems
Authors: Vasile Pop, Ovidiu Furdui
DOI: https://doi.org/10.1007/978-3-319-54939-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-54938-5Published: 13 April 2017
Softcover ISBN: 978-3-319-85526-4Published: 09 May 2018
eBook ISBN: 978-3-319-54939-2Published: 04 April 2017
Edition Number: 1
Number of Pages: XXII, 370
Number of Illustrations: 1 b/w illustrations, 7 illustrations in colour