Książka Chaotic Dynamics Geoffrey R. Goodson

Chaotic Dynamics

Fractals, Tilings, and Substitutions

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-20 dni
285.66
This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an acce...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2016
strony
416
EAN
9781107112674
ISBN
1107112672
Enbook ID
02978250
Waga
1056
Wymiary
261 x 184 x 25

Pełny opis

This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real analysis and metric space theory to dynamical problems. Proofs are complete and carefully explained, and there is opportunity to practice manipulating algebraic expressions in an applied context of dynamical problems. After presenting a foundation in one-dimensional dynamical systems, the text introduces students to advanced subjects in the latter chapters, such as topological and symbolic dynamics. It includes two-dimensional dynamics, Sharkovsky's theorem, and the theory of substitutions, and takes special care in covering Newton's method. Mathematica code is available online, so that students can see implementation of many of the dynamical aspects of the text.

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