000 04571cam a2200589Ki 4500
001 9780429280665
003 FlBoTFG
005 20220724194240.0
006 m o d
007 cr cnu---unuuu
008 200429t20202020flua ob 000 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9780429280665
_q(electronic bk.)
020 _a0429280661
_q(electronic bk.)
020 _a9781000065664
_q(electronic bk. : Mobipocket)
020 _a1000065669
_q(electronic bk. : Mobipocket)
020 _a9781000065671
_q(electronic bk. : EPUB)
020 _a1000065677
_q(electronic bk. : EPUB)
020 _a9781000065657
_q(electronic bk. : PDF)
020 _a1000065650
_q(electronic bk. : PDF)
020 _z9780367235994
020 _z0367235994
035 _a(OCoLC)1152525613
035 _a(OCoLC-P)1152525613
050 4 _aQA614.8
072 7 _aMAT
_x000000
_2bisacsh
072 7 _aMAT
_x004000
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aPBW
_2bicssc
082 0 4 _a515.39
_223
100 1 _aDevaney, Robert L.,
_d1948-
_eauthor.
245 1 2 _aA first course in chaotic dynamical systems :
_btheory and experiment /
_cRobert L. Devaney.
250 _aSecond edition.
264 1 _aBoca Raton :
_bChapman & Hall/CRC,
_c[2020]
264 4 _c©2020
300 _a1 online resource :
_bcolor illustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aAdvances in applied mathematics
500 _aPrevious edition: Reading: Addison-Wesley, 1992.
520 _aA 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.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aDifferentiable dynamical systems.
650 0 _aChaotic behavior in systems.
650 7 _aMATHEMATICS / General
_2bisacsh
650 7 _aMATHEMATICS / Arithmetic
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
856 4 0 _3Read Online
_uhttps://www.taylorfrancis.com/books/9780429280665
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _2lcc
_cEBK
999 _c15431
_d15431