Kniha Chaotic Dynamics Geoffrey R. Goodson

Chaotic Dynamics

Fractals, Tilings, and Substitutions

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 14-20 dnů
1 626
This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an acce...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2016
Stránek
416
EAN
9781107112674
ISBN
1107112672
Enbook ID
02978250
Hmotnost
1056
Rozměry
261 x 184 x 25

Kompletní popis

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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