Robert L. Devaney
A First Course In Chaotic Dynamical Systems: Theory And Experiment
A First Course In Chaotic Dynamical Systems: Theory And Experiment
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Excellent- More about A First Course In Chaotic Dynamical Systems: Theory And Experiment
The second edition of A First Course in Chaotic Dynamical Systems: Theory and Experiment has been revised and updated to include new topics such as fractals, complex dynamical systems, rational maps, and computer experiments. It is accessible to students with a one-year calculus course and offers a wide variety of interesting open questions for undergraduate research. The author is Professor of Mathematics at Boston University and has a main area of research in dynamical systems, including complex analytic dynamics and more general ideas about chaotic dynamical systems.
Format: Paperback / softback
Length: 320 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd
The much-anticipated second edition of this well-liked textbook includes numerous new features.
Dynamical systems have undergone significant development in the twenty-five years since the first edition of this book was published. When the first edition was released, Mandelbrot and Julia sets were just ten years old, and most research focused on iterating quadratic functions. This research has since expanded to include a wide range of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are dedicated to these topics.
The scope of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is accessible to students and provides a wide range of intriguing open questions for undergraduate students to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses and the more demanding higher-level mathematics courses.
Features
More extensive coverage of fractals, including objects like the Sierpinski carpet and others that appear as Julia sets in the later sections on complex dynamics, as well as an actual chaos game.
More detailed coverage of complex dynamical systems like the quadratic family and the exponential maps.
New sections on other complex dynamical systems like rational maps.
A number of new an.
Weight: 500g
Dimension: 153 x 234 x 22 (mm)
ISBN-13: 9781032474526
Edition number: 2 ed
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