Grundlehren der mathematischen Wissenschaften, Bd.250: Geometrical Methods in the Theory of Ordinary Differential Equations - gebonden uitgave, pocketboek

EAN (ISBN-13): 9780387966496
ISBN (ISBN-10): 0387966498
Gebonden uitgave
pocket book
Verschijningsjaar: 2007
Uitgever: Springer
372 Bladzijden
Gewicht: 0,713 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-06-07T09:39:55+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-04-22T00:19:18+02:00 (Amsterdam)
ISBN/EAN: 0387966498

ISBN - alternatieve schrijfwijzen:
0-387-96649-8, 978-0-387-96649-6
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: levi, szücs, arnold and, arnol vladimir, neistadt, erl vladimir, feigenbaum, vladimir arnold pozner
Titel van het boek: 250, geometrical methods theory ordinary differential equations, differential equations geometric theory, ordinary differential equations matlab, mathematische, something out the ordinary, geometrica, grundlehren der mathematischen wissenschaften, geo, mathematisch, levi

---

Gegevens van de uitgever

Auteur: V.I. Arnold
Titel: Grundlehren der mathematischen Wissenschaften; Geometrical Methods in the Theory of Ordinary Differential Equations
Uitgeverij: Springer; Springer US
351 Bladzijden
Verschijningsjaar: 1988-06-15
New York; NY; US
Vertaler: J. Szücs
Taal: Engels
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
Available
XIII, 351 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematica; bifurcation; differential equation; hamiltonian system; ordinary differential equation; partial differential equation; schrödinger equation; stability; Analysis; Mathematics in Art and Architecture; Architectural History and Theory; Angewandte Mathematik; Architekturtheorie; Geschichte der Architektur; BB; EA; BC

1 Special Equations.- § 1. Differential Equations Invariant under Groups of Symmetries.- § 2. Resolution of Singularities of Differential Equations.- § 3. Implicit Equations.- § 4. Normal Form of an Implicit Differential Equation in the Neighborhood of a Regular Singular Point.- § 5. The Stationary Schrödinger Equation.- § 6. Geometry of a Second-Order Differential Equation and Geometry of a Pair of Direction Fields in Three-Dimensional Space.- 2 First-Order Partial Differential Equations.- § 7. Linear and Quasilinear First-Order Partial Differential Equations.- § 8. The Nonlinear First-Order Partial Differential Equation.- § 9. A Theorem of Frobenius.- 3 Structural Stability.- § 10. The Notion of Structural Stability.- §11. Differential Equations on the Torus.- § 12. Analytic Reduction of Analytic Circle Diffeomorphisms to a Rotation.- § 13. Introduction to the Hyperbolic Theory.- § 14. Anosov Systems.- § 15. Structurally Stable Systems Are Not Everywhere Dense.- 4 Perturbation Theory.- § 16. The Averaging Method.- § 17. Averaging in Single-Frequency Systems.- § 18. Averaging in Systems with Several Frequencies.- § 19. Averaging in Hamiltonian Systems.- § 20. Adiabatic Invariants.- § 21. Averaging in Seifert’s Foliation.- 5 Normal Forms.- § 22. Formal Reduction to Linear Normal Forms.- § 23. The Case of Resonance.- § 24. Poincaré and Siegel Domains.- § 25. Normal Form of a Mapping in the Neighborhood of a Fixed Point.- § 26. Normal Form of an Equation with Periodic Coefficients.- § 27. Normal Form of the Neighborhood of an Elliptic Curve.- § 28. Proof of Siegel’s Theorem.- 6 Local Bifurcation Theory.- § 29. Families and Deformations.- § 30. Matrices Depending on Parameters and Singularities of the Decrement Diagram.- §31. Bifurcations of Singular Points of a Vector Field.- § 32. Versal Deformations of Phase Portraits.- § 33. Loss of Stability of an Equilibrium Position.- § 34. Loss of Stability of Self-Sustained Oscillations.- § 35. Versal Deformations of Equivariant Vector Fields on the Plane.- § 36. Metamorphoses of the Topology at Resonances.- § 37. Classification of Singular Points.- Samples of Examination Problems.