1.

Record Nr.

UNINA9911138237003321

Autore

Hollender Elisabeth <1965->

Titolo

Clavis commentariorum of Hebrew liturgical poetry in manuscript / / by Elisabeth Hollender

Pubbl/distr/stampa

Leiden ; ; Boston, : Brill, 2005

ISBN

1-280-86865-1

9786610868650

1-4294-2721-3

90-474-0826-8

1-4337-0367-X

Edizione

[1st ed.]

Descrizione fisica

1 online resource (994 p.)

Collana

Clavis commentariorum. Antiquitatis et Medii Aevi, , 1568-9999 ; ; v. 4

Disciplina

296.452

Soggetti

Piyutim - Manuscripts

Jewish religious poetry, Hebrew - Manuscripts

Hebrew poetry, Medieval - Manuscripts

Manuscripts, Hebrew

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [957]-961) and indexes.

Nota di contenuto

Preface; Transcription Table; Introduction; List of Manuscripts; Clavis Commentariorum; Bibliography; Index of Poets; Index of Commentators

Sommario/riassunto

This catalogue lists more than 18,000 individual commentaries on Hebrewliturgical poetry from more than 400 manuscripts composed in various Jewish communities throughout the Medieval and Early Modern periods. As research tool, it provides unprecedented access to this fascinating genre of Hebrew literature.



2.

Record Nr.

UNINA9911144657303321

Autore

Hirsch Morris W. <1933->

Titolo

Differential equations, dynamical systems, and linear algebra / / Morris W. Hirsch and Stephen Smale

Pubbl/distr/stampa

New York, : Academic Press, 1974

ISBN

1-281-76362-4

9786611763626

0-08-087376-6

Descrizione fisica

1 online resource (373 p.)

Collana

Pure and applied mathematics ; ; v. 60

Altri autori (Persone)

SmaleStephen <1930->

HirschMorris W. <1933->

Disciplina

510.8 s515.35

510/.8 s 515/.35

512.5

515.35

515/.35

Soggetti

Differential equations

Algebras, Linear

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

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

Sommario/riassunto

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.