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Jordan Canonical Form and Dynamic Systems on Time Scales

Svetlin G. Georgiev (Autor)

Buch | Softcover

440 Seiten

2024 | Unabridged edition
Cambridge Scholars Publishing (Verlag)
978-1-0364-0135-1 (ISBN)

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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.

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.

Erscheinungsdatum	05.03.2024
Verlagsort	Newcastle upon Tyne
Sprache	englisch
Maße	148 x 212 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-0364-0135-9 / 1036401359
ISBN-13	978-1-0364-0135-1 / 9781036401351
Zustand	Neuware