Fractals and chaos in dynamical systems
Replenishment date: 19.03.2015
Content: introduction_to_fractals_and_chaos.7z (6.43 MB)
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Description
This manual for the first time fully reveals aspects of a new, but already relevant, mathematical discipline. Note that until recently, the Russian-speaking reader had the opportunity to get acquainted only with monographs on this topic.
The guide is based on a curriculum developed by Kronover nearly 15 years ago for students specializing in disciplines such as mathematics, engineering, and science. To fully familiarize yourself with the work of Kronover, it is advisable to have a good knowledge of linear algebra and mathematical analysis. But even a less prepared reader who is interested in the field of mathematical research can find a lot of interesting things in the manual. This work should be treated as a unique invitation to full-scale computer experiments in the development of mathematics courses. You will learn about the theory of fractals and will be able to use fractals in Forex in practice. The theoretical material is supported by a description of twenty computer algorithms, which the author presents in general terms, without tying them to the syntax of specific programming languages (C ++, C, Fortran, Pascal, etc.). Kronover believes: there is no universal language that satisfies everyone.
As a program for experimenting with fractals, the fast-acting Fractint program is offered, which exists on a free distribution basis and will allow you to be a real explorer, modeling various fractals. When you understand the concept of a fractal, you will definitely be able to apply fractals in the forex market. Perfectly selected algorithms and exercises allow us to talk about the book as a good textbook for students, graduate students, specialists in various fields from mathematics to linguistics.
The guide is based on a curriculum developed by Kronover nearly 15 years ago for students specializing in disciplines such as mathematics, engineering, and science. To fully familiarize yourself with the work of Kronover, it is advisable to have a good knowledge of linear algebra and mathematical analysis. But even a less prepared reader who is interested in the field of mathematical research can find a lot of interesting things in the manual. This work should be treated as a unique invitation to full-scale computer experiments in the development of mathematics courses. You will learn about the theory of fractals and will be able to use fractals in Forex in practice. The theoretical material is supported by a description of twenty computer algorithms, which the author presents in general terms, without tying them to the syntax of specific programming languages (C ++, C, Fortran, Pascal, etc.). Kronover believes: there is no universal language that satisfies everyone.
As a program for experimenting with fractals, the fast-acting Fractint program is offered, which exists on a free distribution basis and will allow you to be a real explorer, modeling various fractals. When you understand the concept of a fractal, you will definitely be able to apply fractals in the forex market. Perfectly selected algorithms and exercises allow us to talk about the book as a good textbook for students, graduate students, specialists in various fields from mathematics to linguistics.
