机读格式显示(MARC)
- 000 02530cam a2200301 i 4500
- 008 220602s2023 nju b 001 0 eng
- 020 __ |a 9781800612686: |c CNY979.20
- 040 __ |a DLC |b eng |c DLC |e rda |d DLC
- 260 __ |a New Jersey : |b World Scientific, |c 2023.
- 050 00 |a QA372 |b .Z643 2023
- 082 00 |a 515/.352 |2 23/eng20220723
- 100 1_ |a Zootadek, Henryk, |d 1953- |e author.
- 245 10 |a Qualitative theory of ODEs : |b an introduction to dynamical systems theory / |c Henryk Zotadek, Raul Murillo.
- 300 __ |a xiii, 268 pages ; |c 24 cm
- 336 __ |a text |b txt |2 rdacontent
- 337 __ |a unmediated |b n |2 rdamedia
- 338 __ |a volume |b nc |2 rdacarrier
- 504 __ |a Includes bibliographical references (pages 263-264) and index.
- 520 __ |a "The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods. The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state. Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on the first author's translation of lecture notes in Polish by the second author, edited in the portal Matematyka Stosowana (Applied Mathematics) at the University of Warsaw"-- |c Provided by publisher.
- 650 _0 |a Differential equations |x Qualitative theory.
- 650 _0 |a Dynamics |x Mathematical models.
- 700 1_ |a Murillo, Raul, |e author.