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Record Nr. |
UNINA9910782594503321 |
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Autore |
Hirsch Morris W. <1933-> |
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Titolo |
Differential equations, dynamical systems, and linear algebra [[electronic resource] /] / Morris W. Hirsch and Stephen Smale |
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Pubbl/distr/stampa |
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New York, : Academic Press, 1974 |
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ISBN |
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1-281-76362-4 |
9786611763626 |
0-08-087376-6 |
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Descrizione fisica |
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1 online resource (373 p.) |
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Collana |
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Pure and applied mathematics ; ; v. 60 |
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Altri autori (Persone) |
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SmaleStephen <1930-> |
HirschMorris W. <1933-> |
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Disciplina |
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510.8 s515.35 |
510/.8 s 515/.35 |
512.5 |
515.35 |
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Soggetti |
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Differential equations |
Algebras, Linear |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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