Algebraic Aspects in the Theory of Systems of Linear Differential Equations (Classic Reprint) - Couverture souple
Synopsis
Unlock the math behind linear systems and their hidden symmetries. This work surveys how algebraic methods illuminate differential equations for matrices and operators, offering a clear path from abstract theory to practical techniques.
Delving into the continuous analogues of classic formulas, it explains how the Baker–Hausdorff and related results help express complex matrix products as Lie-elements. The discussion covers when such series converge, how to handle commutators, and how these ideas apply to solving systems of linear differential equations via finite steps or quadratures. The narrative balances rigorous proofs with accessible derivations, helping readers connect algebraic structures to real-world problems in physics and applied math.
Readers will gain a guided view of key topics, including
- the Baker–Hausdorff and Zassenhaus formulas in a matrix and operator setting
- Lie-elements, commutators, and how they produce compact representations of solutions
- when infinite series terminate and how that yields finite-time quadrature solutions
- methods for integrating linear systems and analyzing convergence in practical contexts
Ideal for readers of this edition who want a solid foundation in the algebraic tools used to study systems of linear differential equations and their applications in mathematics and physics.
EXACT_
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Autres éditions populaires du même titre
Résultats de recherche pour Algebraic Aspects in the Theory of Systems of Linear...
Image fournie par le vendeur
Algebraic Aspects in the Theory of Systems of Linear Differential Equations
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book delves into the mathematical world of linear differential equations and their intriguing connection to systems of matrices. The author unfolds the underlying algebraic aspects, providing a deeper understanding of these equations and their applications. Building upon the work of earlier mathematicians, the book unveils a formula that relates the solutions of linear differential equations to a complex exponential function of a matrix. Notably, this formula finds applications in a range of scientific fields, including quantum mechanics and theoretical physics. The author engages readers with clear explanations and step-by-step derivations, illuminating the beauty and utility of this mathematical connection. Throughout the book, the author explores the nuances of these equations and provides insights into their behavior, showcasing the profound impact of mathematics in unraveling the complexities of the natural world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332778003_0
Acheter neuf
EUR 15,51
Livraison gratuite
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : Plus de 20 disponibles
Image d'archives
Algebraic Aspects in the Theory of Systems of Linear Differential Equations Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332778003
Acheter neuf
EUR 21,90
Livraison gratuite
Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : 15 disponible(s)
Image d'archives
Algebraic Aspects in the Theory of Systems of Linear Differential Equations Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332778003
Acheter neuf
EUR 24,23
Expédition à EUR 3,81
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)