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Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers.
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Contenuti
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.
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GEOMETRICAL METHODS IN THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS (GRUNDLEHREN DER MATHEMATISCHEN WISSENSCHAFTEN ; 250)
Editore:
Springer-Verlag, New York, 1988
ISBN 10: 0387966498
ISBN 13: 9780387966496
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Hardcover. Second edition. Octavo, xii, 351 pages. In Good plus condition. Spine is yellow with black print. Boards in yellow cloth with black print. Light wear to spine caps and corners, toning to spine, vendor label on rear. Illustrated: "With 162 illustrations"-- title page (b&w diagrams). NOTE: Shelved in Netdesk Column I. 1379843. FP New Rockville Stock. Codice articolo 1379843
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Geometrical Methods in the Theory of Ordinary Differential Equations
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Hardcover. Condizione: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.5. Codice articolo G0387966498I4N00
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Geometrical Methods in the Theory of Ordinary Differential Equations, second edition (A Series of Comprehensive Studies in Mathematics, Volume 250)
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Hardcover. Condizione: UsedGood. Hardcover, second edition, translated by Joseph Szucs, with 162 illustrations. Surplus library copy with the usual stampings; reference number taped to spine; bar code on back cover; fading to exterior; otherwise in good condition with clean text, firm binding. Codice articolo 51112
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Geometrical Methods in the Theory of Ordinary Differential Equations (2nd Edn) (Grundlehren Der Mathematischen Wissenschaften) (Volume 250)
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Condizione: Good. Volume 250. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:9780387966496. Codice articolo 9790587
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Geometrical Methods in the Theory of Ordinary Differential Equations (2nd Edn) (Grundlehren Der Mathematischen Wissenschaften) (Volume 250)
Da: Anybook.com, Lincoln, Regno Unito
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Condizione: Fair. Volume 250. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:9780387966496. Codice articolo 9790586
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Geometrical Methods in the Theory of Ordinary Differential Equations. Second Edition.
Editore:
New York: Springer, 1988
ISBN 10: 0387966498
ISBN 13: 9780387966496
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Da: Plurabelle Books Ltd, Cambridge, Regno Unito
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Hardback. Condizione: Very Good. Series: A Series of Comprehensive Studies in Mathematics. xii 351p hardback, bright yellow cloth cover, binding firm, light wear and sunned spine, pages clean and unmarked, text and mathematical notation clear and sharp throughout, a very good copy Language: English Weight (g): 750. Codice articolo 233125
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Geometrical Methods in the Theory of Ordinary Differential Equations (Grundlehren der mathematischen Wissenschaften, 250)
Da: Toscana Books, AUSTIN, TX, U.S.A.
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Hardcover. Condizione: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. Codice articolo Scanned0387966498
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Geometrical Methods in the Theory of Ordinary Differential Equations (Hardcover)
Editore:
Springer-Verlag New York Inc., New York, NY, 1988
ISBN 10: 0387966498
ISBN 13: 9780387966496
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Hardcover. Condizione: new. Hardcover. Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, aswell as all users of the theory of differential equations. Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387966496
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Geometrical Methods in the Theory of Ordinary Differential Equations (Grundlehren der mathematischen Wissenschaften, 250)
Da: Lucky's Textbooks, Dallas, TX, U.S.A.
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Condizione: New. Codice articolo ABLIING23Feb2215580174831
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Geometrical Methods In The Theory Of Ordinary Differential Equations
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Condizione: New. Codice articolo 672209-n
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