Přeskočit na obsah
Library Home
Start Over
Research Databases
E-Journals
Rezervace kurzů
Library Home
Přihlásit
English
Deutsch
Español
Français
Italiano
日本語
Nederlands
Português
Português (Brasil)
中文(简体)
中文(繁體)
Türkçe
עברית
Gaeilge
Cymraeg
Ελληνικά
Català
Euskara
Русский
Čeština
Suomi
Svenska
polski
Dansk
slovenščina
اللغة العربية
বাংলা
Galego
Tiếng Việt
Hrvatski
हिंदी
Հայերէն
Українська
Jazyk
Library Catalog
Vše
Název
Autor
Téma
Signatura
ISBN/ISSN
Hledat
Pokročilé vyhledávání
|
Procházet
|
Tipy pro vyhledávání
Differential Equations, Dynami...
Vytvořit citaci
Zaslat SMS
Poslat e-mailem
Vytisknout
Exportovat záznam
Exportovat do RefWorks
Exportovat do EndNoteWeb
Exportovat do EndNote
Přidat do oblíbených
Trvalý odkaz
Differential Equations, Dynamical Systems, and Linear Algebra.
Uloženo v:
Podrobná bibliografie
Hlavní autor:
Hirsch, Morris W.
Další autoři:
Smale, Stephen
Médium:
E-kniha
Jazyk:
English
Vydáno:
Burlington :
Elsevier,
1974.
Edice:
Pure and Applied Mathematics.
Témata:
Differential equations.
Algebras, Linear.
Algebras, Linear
Differential equations
On-line přístup:
Click for online access
Jednotky
Popis
Obsah
Podobné jednotky
UNIMARC/MARC
Obsah:
Front Cover; Differential Equations, Dynamical Systems, and Linear Algebra; Copyright Page; Contents; Preface; CHAPTER 1. FIRST EXAMPLES; 1. The Simplest Examples; 2. Linear Systems with Constant Coefficients; Notes; CHAPTER 2. NEWTON'S EQUATION AND KEPLER'S LAW; 1. Harmonic Oscillators; 2. Some Calculus Background; 3. Conservative Force Fields; 4. Central Force Fields; 5. States; 6. Elliptical Planetary Orbits; Notes; CHAPTER 3. LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS AND REAL EIGENVALUES; 1. Basic Linear Algebra; 2. Real Eigenvalues
3. Differential Equations with Real, Distinct Eigenvalues4. Complex Eigenvalues; CHAPTER 4. LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS AND COMPLEX EIGENVALUES; 1. Complex Vector Spaces; 2. Real Operators with Complex Eigenvalues; 3. Application of Complex Linear Algebra to Differential Equations; CHAPTER 5. LINEAR SYSTEMS AND EXPONENTIALS OF OPERATORS; 1. Review of Topology in Rn; 2. New Norms for Old; 3. Exponentials of Operators; 4. Homogeneous Linear Systems; 5. A Nonhomogeneous Equation; 6. Higher Order Systems; Notes; CHAPTER 6. LINEAR SYSTEMS AND CANONICAL FORMS OF OPERATORS
1. The Primary Decomposition2. The S + N Decomposition; 3. Nilpotent Canonical Forms; 4. Jordan and Real Canonical Forms; 5. Canonical Forms and Differential Equations; 6. Higher Order Linear Equations; 7. Operators on Function Spaces; CHAPTER 7. CONTRACTIONS AND GENERIC PROPERTIES OF OPERATORS; 1. Sinks and Sources; 2. Hyperbolic Flows; 3. Generic Properties of Operators; 4. The Significance of Genericity; CHAPTER 8. FUNDAMENTAL THEORY; 1. Dynamical Systems and Vector Fields; 2. The Fundamental Theorem; 3. Existence and Uniqueness; 4. Continuity of Solutions in Initial Conditions
5. On Extending Solutions6. Global Solutions; 7. The Flow of a Differential Equation; Notes; CHAPTER 9. STABILITY OF EQUILIBRIA; 1. Nonlinear Sinks; 2. Stability; 3. Liapunov Functions; 4. Gradient Systems; 5. Gradients and Inner Products; Notes; CHAPTER 10. DIFFERENTIAL EQUATIONS FOR ELECTRICAL CIRCUITS; 1. An RLC Circuit; 2. Analysis of the Circuit Equations; 3. Van der Pol's Equation; 4. Hopf Bifurcation; 5. More General Circuit Equations; Notes; CHAPTER 11. THE POINCARÉ-BENDIXSON THEOREM; 1. Limit Sets; 2. Local Sections and Flow Boxes; 3. Monotone Sequences in Planar Dynamical Systems
4. The Poincaré-Bendixson Theorem5. Applications of the Poincaré-Bendixson Theorem; Notes; CHAPTER 12. ECOLOGY; 1. One Species; 2. Predator and Prey; 3. Competing Species; Notes; CHAPTER 13. PERIODIC ATTRACTORS; 1. Asymptotic Stability of Closed Orbits; 2. Discrete Dynamical Systems; 3. Stability and Closed Orbits; CHAPTER 14. CLASSICAL MECHANICS; 1. The n-Body Problem; 2. Hamiltonian Mechanics; Notes; CHAPTER 15. NONAUTONOMOUS EQUATIONS AND DIFFERENTIABILITY OF FLOWS; 1. Existence, Uniqueness, and Continuity for Nonautonomous Differential Equations
Podobné jednotky
Differential Equations, Dynamical Systems, and an Introduction to Chaos.
Autor: Hirsch, Morris W.
Vydáno: (2012)
Basic global relative invariants for homogeneous linear differential equations
Autor: Chalkley, Roger, 1931-
Vydáno: (2002)
Linear algebra and ordinary differential equations
Autor: Jeffrey, Alan
Vydáno: (1990)
Differential equations, dynamical systems, and an introduction to chaos
Autor: Hirsch, Morris W., 1933-
Vydáno: (2004)
Stochastic stability of differential equations in abstract spaces
Autor: Liu, Kai, 1964-
Vydáno: (2019)