Menu
Виж статуса на поръчката
Свържете се с нас
Книга Ordinary Differential Equations and Dynamical Systems Gerald Teschl

Ordinary Differential Equations and Dynamical Systems

Автор: Gerald Teschl
Език: Английски език
Корици: С меки корици
Издател: American Mathematical Society
Наличност: 50% вероятност
Ще претърсим света
107.92 € 211.08 лв
This book provides a self-contained introduction to ordinary differential equations and dynamical sy...

Информация за книгата

Автор
Gerald Teschl
Език
Английски език
Корици
Книга - С меки корици
Издадена
2012
страници
356
EAN
9781470476410
Enbook ID
47504208
Издател
American Mathematical Society
Теглоt
666

Пълно описание

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations. Ancillaries: Corrections -- Updates (Errata)Instructor's Manual

Може също да ви хареса

Lonely Planet East Coast Australia

Charles Rawlings-Way
33.02 € 64.58 лв

English Gold Coinage

Maurice Bull
57.84 € 113.12 лв

Electronics Simplified A Practical Approach

Hardik Nagrecha
16.61 € 32.48 лв

Клиенти, които купиха тази книга, купиха също

Zlaté příběhy Čtyřlístku

Ljuba Štíplová
22.06 € 43.15 лв

Adventskalender "Karussell"

Sellmer Verlag
6.80 € 13.30 лв

Plzeňský místopis

Jan Hajšman
5.45 € 10.66 лв

DRAGON BALL COLOR PICCOLO 4

Akira Toriyama
18.21 € 35.61 лв

L'homme appele evolution et mystique

Maeght
23.21 € 45.40 лв

GÉNIE CHIMIQUE

Duke Orata
55.63 € 108.81 лв