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Encounters with Chaos and Fractals (Textbooks in Mathematics) - Hardcover

 
9781032677866: Encounters with Chaos and Fractals (Textbooks in Mathematics)
  • PublisherChapman and Hall/CRC
  • Publication date2024
  • ISBN 10 1032677864
  • ISBN 13 9781032677866
  • BindingHardcover
  • LanguageEnglish
  • Edition number3
  • Number of pages414

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9781138061262: Encounters with Chaos and Fractals (Textbooks in Mathematics)

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Hardcover. Condition: new. Hardcover. Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications.The third edition updates this classic book for a modern audience. New applications on contemporary topics, like data science and mathematical modeling, appear throughout. Coding activities are transitioned to open-source programming languages, including Python.The text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the authors introduce famous, infinitely complicated fractals. How to obtain computer renditions of them is explained. The book concludes with Julia sets and the Mandelbrot set.The Third Edition includes:More coding activities incorporated in each section with expanded code to include pseudo-code, with specific examples in MATLAB (or its open-source cousin Octave) and PythonAdditional exercisesmany updatedfrom previous editionsProof-writing exercises for a more theoretical courseRevised sections to include historical contextShort sections added to explain applied problems in developing mathematicsThis edition reveals how these ideas are continuing to be applied in the 21st century, while connecting to the long and winding history of dynamical systems. The primary focus is the beauty and diversity of these ideas. Offering more than enough material for a one-semester course, the authors show how these subjects continue to grow within mathematics and in many other disciplines. Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781032677866

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