Articles liés à Hill's Equation, Vol. 1 (Classic Reprint): General...
Synopsis
Hill's Equation, Vol. 1: General Theory presents the foundational math of Hill's equation for real periodic coefficients. It introduces Floquet theory, characteristic equations, and the behavior of periodic and bounded solutions in a clear, theorem-driven way.
This edition frames how differential equations with periodic forcing behave, including when solutions stay bounded and when they become unstable. It connects the theory to classic Sturm–Liouville ideas and builds toward a detailed understanding of stability through characteristic values and exponents.
- Foundational concepts: periodic differential equations and the special role of solutions with period p and 2p
- Key theorems: Floquet’s theorem, stability tests, and the structure of solution spaces
- Connections to eigenvalues and boundary-value problems for periodic systems
- Techniques for analyzing periodic and unbounded solutions, with historical references
Ideal for readers who want a rigorous treatment of Hill’s equation and its stability theory, including students and researchers in differential equations and mathematical physics.
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 Hill's Equation, Vol. 1 (Classic Reprint): General...
Image fournie par le vendeur
Hill's Equation, Vol. 1: General Theory (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : New. Print on Demand. Delving into the intricate realm of periodic differential equations, this book offers a comprehensive exploration of Hill's equation ââ â a cornerstone in understanding oscillatory phenomena. Rooted in the 19th-century works of George William Hill, who investigated the motion of the moon's perigee, Hill's equation has since transcended its celestial origins, finding applications in diverse fields like physics, engineering, and mathematics. The author meticulously examines the equation's theoretical underpinnings, guiding readers through fundamental concepts such as Floquet's theorem, stability analysis, and the properties of characteristic values. The book delves into advanced topics, including infinite determinants and the asymptotic behavior of solutions, providing valuable insights into the equation's intricate structure. This book serves as an indispensable resource for mathematicians, physicists, and engineers seeking to unravel the complexities of periodic phenomena. By illuminating the profound implications of Hill's equation, it unveils the mathematical elegance underlying oscillations that permeate our world, from the celestial dance of planets to the rhythmic pulse of electronic circuits. 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 9781334016004_0
Acheter neuf
EUR 15,69
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
Hill's Equation, Vol 1 General Theory 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-9781334016004
Acheter neuf
EUR 24,96
Livraison gratuite
Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : 15 disponible(s)
Image d'archives
Hill's Equation, Vol 1 General Theory 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-9781334016004
Acheter neuf
EUR 24,61
Expédition à EUR 3,84
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)