Jordan canonical form is one of the most important and useful concepts in linear algebra. This book develops Jordan canonical form and shows how to apply it to solving systems of dynamic equations on arbitrary time scales. The development of Jordan canonical form involves the following concepts: vector spaces, linear operators, matrices, eigenvalues, eigenvectors, and chains of generalized eigenvectors. The book begins with the diagonalizable case, and then proceeds to the general case. The majority of this book is devoted to showing how to apply Jordan canonical form to solve systems of constant-coefficient first order dynamic equations on arbitrary time scales. It covers all situations, including homogeneous and inhomogeneous dynamic systems on arbitrary time scales, and real and complex eigenvalues. The book is intended for senior undergraduate students and beginner graduate students of engineering and sciences.
Les mer
Jordan canonical form is one of the most important and useful concepts in linear algebra. This book develops Jordan canonical form and shows how to apply it to solving systems of dynamic equations on arbitrary time scales.
Les mer

Produktdetaljer

ISBN
9781527594753
Publisert
2023-05-01
Utgiver
Vendor
Cambridge Scholars Publishing
Høyde
212 mm
Bredde
148 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
440

Biographical note

Svetlin G. Georgiev is a mathematician who has worked in various areas of mathematics. His research currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He is the author of the book series Foundations of Iso-Differential Calculus Vol. I-VI, and the author of several books, including: Real Quaternion Calculus, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, Functional Dynamic Equations on Time Scales, Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, and Boundary Value Problems on Time Scales Volumes I and II. He also co-authored Conformable Dynamic Equations on Time Scales.