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A first course in chaotic dynamical systemstheory and experiment /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A first course in chaotic dynamical systemsRobert L. Devaney.
其他題名:	theory and experiment /
作者:	Devaney, Robert L.,
出版者:	Boca Raton, FL :CRC Press,c2020.
面頁冊數:	1 online resource :col. ill.
附註:	Previous edition: Reading: Addison-Wesley, 1992.
附註:	"A Chapman & Hall book."
標題:	Differentiable dynamical systems.
電子資源:	https://www.taylorfrancis.com/books/9780429280665
ISBN:	9780429280665$q(electronic bk.)

A first course in chaotic dynamical systemstheory and experiment /
Devaney, Robert L.,1948-

A first course in chaotic dynamical systemstheory and experiment /[electronic resource] :Robert L. Devaney. - 2nd ed. - Boca Raton, FL :CRC Press,c2020. - 1 online resource :col. ill. - Advances in applied mathematics. - Advances in applied mathematics..

Previous edition: Reading: Addison-Wesley, 1992.

Includes bibliographical references and index.

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level 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 othersthat appear as Julia sets in the later sections on complex dynamics, as well as an actualchaos "game." More detailed coverage of complex dynamical systems like the quadratic familyand the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.

ISBN: 9780429280665$q(electronic bk.)Subjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8

Dewey Class. No.: 515.39

A first course in chaotic dynamical systemstheory and experiment /
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245 1 2 $a A first course in chaotic dynamical systems $h [electronic resource] : $b theory and experiment / $c Robert L. Devaney.
250 $a 2nd ed.
260 $a Boca Raton, FL : $b CRC Press, $c c2020.
300 $a 1 online resource : $b col. ill.
490 1 $a Advances in applied mathematics
500 $a Previous edition: Reading: Addison-Wesley, 1992.
500 $a "A Chapman & Hall book."
504 $a Includes bibliographical references and index.
520 $a A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level 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 othersthat appear as Julia sets in the later sections on complex dynamics, as well as an actualchaos "game." More detailed coverage of complex dynamical systems like the quadratic familyand the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.
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650 0 $a Differentiable dynamical systems. $3 183764
650 0 $a Chaotic behavior in systems. $3 182904
830 0 $a Advances in applied mathematics. $3 765800
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