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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
HIRSCH, Morris W.  
New York : Academic press, 1974
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
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
Hirsch Morris W. <1933->  
New York, : Academic Press, 1974
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910822863803321
Hirsch Morris W. <1933->  
New York, : Academic Press, 1974
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Hirsch, Morris W.  
New York, : Academic, 1974
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Hirsch, Morris W.  
New York : Academic Press, c1974
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Global analysis / [Shiing-Shen Chern and Stephen Smale, editors]
Global analysis / [Shiing-Shen Chern and Stephen Smale, editors]
Autore Symposium in pure mathematics <1968 ; University of California, Berkeley>
Pubbl/distr/stampa Providence, R. I. : American Mathematical Society, 1970
Descrizione fisica 3 v. ; 26 cm.
Disciplina 516.362
Altri autori (Persone) Chern, Shiing-Shenauthor
Smale, Stephenauthor
Collana Proceedings of symposia in pure mathematics, 0082-0717 ; 14
Soggetto topico Analysis on manifolds
Global analysis
Global analysis - Congresses
ISBN 082181415X (v. 2)
0821814141 (v. 1)
0821814168 (v. 3)
Classificazione AMS 58-06
AMS 58-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000954449707536
Symposium in pure mathematics <1968 ; University of California, Berkeley>  
Providence, R. I. : American Mathematical Society, 1970
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
The mathematics of time : essays on dynamical systems, economic processes, and related topics / Steve Smale
The mathematics of time : essays on dynamical systems, economic processes, and related topics / Steve Smale
Autore Smale, Steve
Descrizione fisica 151 p. ; 23 cm.
Disciplina 514.74
Soggetto topico Dynamical systems
Ordinary differential equations on manifolds
ISBN 0387905197
Classificazione AMS 58F
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001125169707536
Smale, Steve  
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
The Mathematical of Time : Essays on Dynamical Systems, Economic Processes, and Related Topics. / by SMALE S.
The Mathematical of Time : Essays on Dynamical Systems, Economic Processes, and Related Topics. / by SMALE S.
Autore Smale, Stephen
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-990001304600403321
Smale, Stephen  
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Mathematics od Time : Essays on Dynamical Systems, Economic Processes, and Related Topics. / Steve Smale
The Mathematics od Time : Essays on Dynamical Systems, Economic Processes, and Related Topics. / Steve Smale
Autore Smale, Stephen
Pubbl/distr/stampa New York : Springer-Verlag, 1980
Disciplina 514
Soggetto non controllato Geometria descrittiva, analitica, differenziale
ISBN 0-387-90519-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-990001062570403321
Smale, Stephen  
New York : Springer-Verlag, 1980
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui