Chaotic Dynamics - Fractals, Tilings, and Substitutions (Cambridge Mathematical Textbooks, Including Solutions)

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Chaotic Dynamics: Fractals, Tilings, and Substitutions (Cambridge Mathematical Textbooks, Including Solutions)



https://CourseLala.com

2016 | English | 1107112672 | PDF/PPTX (Book+Solutions) | 416 pages | 23.6 MB

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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[ CourseLala.com ] Chaotic Dynamics - Fractals, Tilings, and Substitutions (Cambridge Mathematical Textbooks, Including Solutions)
  • Get Bonus Downloads Here.url (0.2 KB)
    • ~Get Your Files Here !
    • Bonus Resources.txt (0.4 KB)
    • ChaoticDynamicsFractals,Tilings,andSubstitutions.pdf (11.8 MB)
    • Errata.pdf (38.8 KB)
      • Figures JPEG Chaotic Dynamics JPEGs Chapter 1
      • GEOFFREY GOODSON_Unfig. 1.1.jpg (64.2 KB)
      • GEOFFREY GOODSON_Unfig. 1.10.jpg (53.1 KB)
      • GEOFFREY GOODSON_Unfig. 1.11.jpg (66.1 KB)
      • GEOFFREY GOODSON_Unfig. 1.12.jpg (62.4 KB)
      • GEOFFREY GOODSON_Unfig. 1.13.jpg (54.2 KB)
      • GEOFFREY GOODSON_Unfig. 1.14.jpg (35.3 KB)
      • GEOFFREY GOODSON_Unfig. 1.15.jpg (53.9 KB)
      • GEOFFREY GOODSON_Unfig. 1.16.jpg (53.4 KB)
      • GEOFFREY GOODSON_Unfig. 1.17.jpg (56.5 KB)
      • GEOFFREY GOODSON_Unfig. 1.18.jpg (66.4 KB)
      • GEOFFREY GOODSON_Unfig. 1.19.jpg (70.3 KB)
      • GEOFFREY GOODSON_Unfig. 1.2.jpg (49.9 KB)
      • GEOFFREY GOODSON_Unfig. 1.20.jpg (54.4 KB)
      • GEOFFREY GOODSON_Unfig. 1.21.jpg (57.9 KB)
      • GEOFFREY GOODSON_Unfig. 1.22.jpg (43.3 KB)
      • GEOFFREY GOODSON_Unfig. 1.23.jpg (61.0 KB)
      • GEOFFREY GOODSON_Unfig. 1.3.jpg (32.4 KB)
      • GEOFFREY GOODSON_Unfig. 1.4.jpg (61.0 KB)
      • GEOFFREY GOODSON_Unfig. 1.5.jpg (29.7 KB)
      • GEOFFREY GOODSON_Unfig. 1.6.jpg (38.7 KB)
      • GEOFFREY GOODSON_Unfig. 1.7.jpg (48.1 KB)
      • GEOFFREY GOODSON_Unfig. 1.8.jpg (36.5 KB)
      • GEOFFREY GOODSON_Unfig. 1.9.jpg (59.6 KB)
      • Thumbs.db (19.5 KB)
      Chaotic Dynamics JPEGs Chapter 10
      • GEOFFREY GOODSON_Unfig. 10.1.jpg (67.0 KB)
      • GEOFFREY GOODSON_Unfig. 10.2.jpg (49.6 KB)
      • GEOFFREY GOODSON_Unfig. 10.3.jpg (47.3 KB)
      • GEOFFREY GOODSON_Unfig. 10.4.jpg (50.1 KB)
      • GEOFFREY GOODSON_Unfig. 10.5.jpg (53.3 KB)
      • GEOFFREY GOODSON_Unfig. 10.6.jpg (141.2 KB)
      • Thumbs.db (36.0 KB)
      Chaotic Dynamics JPEGs Chapter 11
      • GEOFFREY GOODSON_Unfig. 11.1.jpg (23.2 KB)
      • GEOFFREY GOODSON_Unfig. 11.2.jpg (45.4 KB)
      • GEOFFREY GOODSON_Unfig. 11.3.jpg (33.8 KB)
      • Thumbs.db (13.0 KB)
      Chaotic Dynamics JPEGs Chapter 12
      • GEOFFREY GOODSON_Unfig. 12.1.jpg (25.1 KB)
      • Thumbs.db (6.0 KB)
      Chaotic Dynamics JPEGs Chapter 13
      • GEOFFREY GOODSON_Unfig. 13.1.jpg (63.4 KB)
      • Thumbs.db (10.5 KB)
      Chaotic Dynamics JPEGs Chapter 14
      • GEOFFREY GOODSON_Unfig. 14.1.jpg (31.7 KB)
      • GEOFFREY GOODSON_Unfig. 14.2.jpg (208.7 KB)
      • GEOFFREY GOODSON_Unfig. 14.3.jpg (173.1 KB)
      • GEOFFREY GOODSON_Unfig. 14.4.jpg (84.8 KB)
      • GEOFFREY GOODSON_Unfig. 14.5.jpg (98.0 KB)
      • GEOFFREY GOODSON_Unfig. 14.6.jpg (33.2 KB)
      • GEOFFREY GOODSON_Unfig. 14.7.jpg (85.4 KB)
      • Thumbs.db (17.0 KB)
      Chaotic Dynamics JPEGs Chapter 16
      • GEOFFREY GOODSON_Unfig. 16.1.jpg (26.6 KB)
      • GEOFFREY GOODSON_Unfig. 16.10.jpg (58.5 KB)
      • GEOFFREY GOODSON_Unfig. 16.11.jpg (173.6 KB)
      • GEOFFREY GOODSON_Unfig. 16.12.jpg (124.6 KB)
      • GEOFFREY GOODSON_Unfig. 16.2.jpg (31.9 KB)
      • GEOFFREY GOODSON_Unfig. 16.3.jpg (20.7 KB)
      • GEOFFREY GOODSON_Unfig. 16.4.jpg (122.6 KB)
      • GEOFFREY GOODSON_Unfig. 16.5.jpg (52.4 KB)
      • GEOFFREY GOODSON_Unfig. 16.6.jpg (399.7 KB)
      • GEOFFREY GOODSON_Unfig. 16.7.jpg (26.4 KB)
      • GEOFFREY GOODSON_Unfig. 16.8.jpg (24.1 KB)
      • GEOFFREY GOODSON_Unfig. 16.9.jpg (37.6 KB)
      • Thumbs.db (18.5 KB)
      Chaotic Dynamics JPEGs Chapter 19
      • GEOFFREY GOODSON_Unfig. 19.1.jpg (51.9 KB)
      • GEOFFREY GOODSON_Unfig. 19.2.jpg (61.0 KB)
      • GEOFFREY GOODSON_Unfig. 19.3.jpg (49.1 KB)
      • Thumbs.db (17.0 KB)
      Chaotic Dynamics JPEGs Chapter 2
      • GEOFFREY GOODSON_Unfig. 2.1.jpg (52.1 KB)
      • GEOFFREY GOODSON_Unfig. 2.10.jpg (63.6 KB)
      • GEOFFREY GOODSON_Unfig. 2.11.jpg (82.2 KB)
      • GEOFFREY GOODSON_Unfig. 2.12.jpg (82.3 KB)
      • GEOFFREY GOODSON_Unfig. 2.13.jpg (84.6 KB)
      • GEOFFREY GOODSON_Unfig. 2.14.jpg (54.7 KB)
      • GEOFFREY GOODSON_Unfig. 2.15.jpg (49.2 KB)
      • GEOFFREY GOODSON_Unfig. 2.16.jpg (52.0 KB)
      • GEOFFREY GOODSON_Unfig. 2.17.jpg (54.2 KB)
      • GEOFFREY GOODSON_Unfig. 2.18.jpg (61.6 KB)
      • GEOFFREY GOODSON_Unfig. 2.19.jpg (44.9 KB)
      • GEOFFREY GOODSON_Unfig. 2.2.jpg (48.9 KB)
      • GEOFFREY GOODSON_Unfig. 2.20.jpg (45.5 KB)
      • GEOFFREY GOODSON_Unfig. 2.21.jpg (52.1 KB)
      • GEOFFREY GOODSON_Unfig. 2.22.jpg (61.8 KB)
      • GEOFFREY GOODSON_Unfig. 2.23.jpg (75.4 KB)
      • GEOFFREY GOODSON_Unfig. 2.3.jpg (63.1 KB)
      • GEOFFREY GOODSON_Unfig. 2.4.jpg (54.2 KB)
      • GEOFFREY GOODSON_Unfig. 2.5.jpg (68.9 KB)
      • GEOFFREY GOODSON_Unfig. 2.6.jpg (56.8 KB)
      • GEOFFREY GOODSON_Unfig. 2.7.jpg (47.6 KB)
      • GEOFFREY GOODSON_Unfig. 2.8.jpg (47.8 KB)
      • GEOFFREY GOODSON_Unfig. 2.9.jpg (46.3 KB)
      • Thumbs.db (23.5 KB)
      Chaotic Dynamics JPEGs Chapter 3
      • GEOFFREY GOODSON_Unfig. 3.1.jpg (59.5 KB)
      • GEOFFREY GOODSON_Unfig. 3.2.jpg (50.3 KB)
      • GEOFFREY GOODSON_Unfig. 3.3.jpg (27.2 KB)
      • Thumbs.db (11.5 KB)
      Chaotic Dynamics JPEGs Chapter 4
      • GEOFFREY GOODSON_Unfig. 4.1.jpg (32.0 KB)
      • GEOFFREY GOODSON_Unfig. 4.2.jpg (37.8 KB)
      • Thumbs.db (14.0 KB)
      Chaotic Dynamics JPEGs Chapter 5
      • GEOFFREY GOODSON_Unfig. 5.1.jpg (23.6 KB)
      • GEOFFREY GOODSON_Unfig. 5.2.jpg (49.4 KB)
      • GEOFFREY GOODSON_Unfig. 5.3.jpg (62.7 KB)
      • GEOFFREY GOODSON_Unfig. 5.4

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