By Willi-Hans Steeb
This booklet is a suite of issues of exact strategies with a purpose to turn out precious to scholars and learn employees in arithmetic, physics, engineering and different sciences. the subjects diversity in trouble from easy to complicated point. just about all the issues are solved intimately and so much of them are self-contained. All appropriate definitions are given. scholars can study vital rules and methods required for challenge fixing. academics will locate this article precious as a complement, given that very important ideas and strategies are constructed during the difficulties. the cloth has been established within the author's lectures given world wide.
The e-book is split into volumes. quantity I provides the introductory difficulties, for undergraduate and complex undergraduate scholars. In quantity II, the extra complicated difficulties, including designated ideas, are gathered, to satisfy the wishes of graduate scholars and researchers. the issues integrated hide lots of the new fields in theoretical and mathematical physics, resembling Lax illustration, Bäcklund transformation, soliton equations, Lie-algebra-valued differential varieties, the Hirota strategy, the Painlevé attempt, the Bethe ansatz, the Yang–Baxter relation, chaos, fractals, complexity, and so on.