カゴの中を見る

商品数:0点

合計:0円

カゴの中を見る

商品を探す

商品カテゴリから選ぶ

商品名を入力

商品カテゴリ

分野別

商品コード: 9781107112674

Chaotic Dynamics: Fractals, Tilings, and

販売価格(税込): 9,450 円  (本体価格: 8,750 円+税)
関連カテゴリ:

分野別 > 数学 > 応用数学

種類別の販売価格、在庫状況を見る
在庫区分
数  量

カゴに入れる

商品おすすめポイント

書名

Chaotic Dynamics: Fractals, Tilings, and Substitutions
著者・編者 Goodson, G.R.
出版社/発行元 Cambridge University Press
発行年/月 2017年2月   
装丁 Hardcover
ページ数/巻数 350 ページ
ISBN 978-1-107-11267-4
発送予定 海外倉庫よりお取り寄せ 2-3週間以内に発送します

 

Desciption

 

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.

 

Contents:

 

1. The orbits of one-dimensional maps
2. Bifurcations and the logistic family
3. Sharkovsky's theorem
4. Dynamics on metric spaces
5. Countability, sets of measure zero, and the Cantor set
6. Devaney's definition of chaos
7. Conjugacy of dynamical systems
8. Singer's theorem
9. Conjugacy, fundamental domains, and the tent family
10. Fractals
11. Newton's method for real quadratics and cubics
12. Coppel's theorem and a proof of Sharkovsky's theorem
13. Real linear transformations, the Henon Map, and hyperbolic toral automorphisms
14. Elementary complex dynamics
15. Examples of substitutions
16. Fractals arising from substitutions
17. Compactness in metric spaces and an introduction to topological dynamics
18. Substitution dynamical systems
19. Sturmian sequences and irrational rotations
20. The multiple recurrence theorem of Furstenberg and Weiss

種類別の販売価格、在庫状況を見る
在庫区分
数  量

カゴに入れる

この商品に対するお客様の声

 

mitsumori

見積書をお送り致します

 

 

  新刊案内など配信中!!

 

このページのTOPへ