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Differential equations, dynamical systems and linear algebra / M.W. Hirsch and S. Smale
| Differential equations, dynamical systems and linear algebra / M.W. Hirsch and S. Smale |
| Autore | Hirsch, Morris W. |
| Pubbl/distr/stampa | New York : Academic Press, 1974 |
| Descrizione fisica | XI, 358 p. ; 24 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) | Smale, Stephen |
| Collana | Pure and applied mathematics |
| Soggetto non controllato |
Algebra
Geometria Metodi numerici Matematica pura e applicata |
| ISBN | 0-12-349550-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000846170403321 |
Hirsch, Morris W.
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| New York : Academic Press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems and linear algebra / M.W. Hirsch and Stephen Smale
| Differential equations, dynamical systems and linear algebra / M.W. Hirsch and Stephen Smale |
| Autore | Hirsch, Morris W. |
| Pubbl/distr/stampa | New York : Academic Press, 1974 |
| Descrizione fisica | xi, 348 p. : ill. ; 26 cm |
| Disciplina | 513 |
| Altri autori (Persone) | Smale, Stephen |
| Collana | A series of monographs and textbooks |
| Soggetto non controllato |
Geometria algebrica
Topologia Topologia algebrica Sistemi dinamici Frattali matematici |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001008490403321 |
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Hirsch, Morris W.
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| New York : Academic Press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch, Stephen Smale
| Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch, Stephen Smale |
| Autore | HIRSCH, Morris W. |
| Pubbl/distr/stampa | New York : Academic press, 1974 |
| Descrizione fisica | XV, 259 p. : ill. ; 23 cm |
| Disciplina | 530.153 |
| Altri autori (Persone) | SMALE, Stephen |
| Collana | Pure and applied mathematics |
| Soggetto topico | Equazioni differenziali |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | und |
| Record Nr. | UNISA-990003220730203316 |
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HIRSCH, Morris W.
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| New York : Academic press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential equations, dynamical systems, and linear algebra [[electronic resource] /] / Morris W. Hirsch and Stephen Smale
| Differential equations, dynamical systems, and linear algebra [[electronic resource] /] / Morris W. Hirsch and Stephen Smale |
| Autore | Hirsch Morris W. <1933-> |
| Pubbl/distr/stampa | New York, : Academic Press, 1974 |
| Descrizione fisica | 1 online resource (373 p.) |
| Disciplina |
510.8 s515.35
510/.8 s 515/.35 512.5 515.35 |
| Altri autori (Persone) |
SmaleStephen <1930->
HirschMorris W. <1933-> |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Differential equations
Algebras, Linear |
| ISBN |
1-281-76362-4
9786611763626 0-08-087376-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 COEFICIENTS 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 2. Differentiability of the Flow of Autonomous Equations |
| Record Nr. | UNINA-9910782594503321 |
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Hirsch Morris W. <1933->
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| New York, : Academic Press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale
| Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale |
| Autore | Hirsch, Morris W. |
| Pubbl/distr/stampa | New York, : Academic, 1974 |
| Descrizione fisica | XI, 358 p. : ill. ; 25 cm |
| Altri autori (Persone) | Smale, Stephen |
| Soggetto topico |
58Jxx - Partial differential equations on manifolds; differential operators [MSC 2020]
37-XX - Dynamical systems and ergodic theory [MSC 2020] 34Cxx - Qualitative theory for ordinary differential equation [MSC 2020] 34Mxx - Ordinary differential equations in the complex domain [MSC 2020] 70Gxx - General models, approaches, and methods [MSC 2020] |
| ISBN |
01-234-9550-4
978-01-234-9550-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0055619 |
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Hirsch, Morris W.
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||
| New York, : Academic, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale
| Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale |
| Autore | Hirsch, Morris W. |
| Pubbl/distr/stampa | New York, : Academic, 1974 |
| Descrizione fisica | XI, 358 p. : ill. ; 25 cm |
| Altri autori (Persone) | Smale, Stephen |
| Soggetto topico |
34Cxx - Qualitative theory for ordinary differential equation [MSC 2020]
34Mxx - Ordinary differential equations in the complex domain [MSC 2020] 37-XX - Dynamical systems and ergodic theory [MSC 2020] 58Jxx - Partial differential equations on manifolds; differential operators [MSC 2020] 70Gxx - General models, approaches, and methods [MSC 2020] |
| ISBN |
01-234-9550-4
978-01-234-9550-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00055619 |
|
Hirsch, Morris W.
|
||
| New York, : Academic, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale
| Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale |
| Autore | Hirsch, Morris W. |
| Edizione | [New York : Academic, 1974] |
| Pubbl/distr/stampa | XI, 358 p., : ill. ; 25 cm |
| Descrizione fisica | With answers to selected problems. |
| Altri autori (Persone) | Smale, Stephen |
| Soggetto topico |
58Jxx - Partial differential equations on manifolds; differential operators [MSC 2020]
37-XX - Dynamical systems and ergodic theory [MSC 2020] 34Cxx - Qualitative theory for ordinary differential equation [MSC 2020] 34Mxx - Ordinary differential equations in the complex domain [MSC 2020] 70Gxx - General models, approaches, and methods [MSC 2020] |
| ISBN |
01-234-9550-4
978-01-234-9550-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0055619 |
|
Hirsch, Morris W.
|
||
| XI, 358 p., : ill. ; 25 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch, Stephen Smale
| Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch, Stephen Smale |
| Autore | Hirsch, Morris W. |
| Pubbl/distr/stampa | New York : Academic Press, c1974 |
| Descrizione fisica | xi, 358 p. : ill. ; 24 cm. |
| Disciplina |
515.35
514.74 |
| Altri autori (Persone) | Smale, Stephenauthor |
| Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 60 |
| Soggetto topico |
Differential equations
Dynamical systems |
| ISBN | 0123495504 |
| Classificazione | AMS 58F |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000818219707536 |
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Hirsch, Morris W.
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| New York : Academic Press, c1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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