國立虎尾科技大學 |

Chaos = An Introduction for Applied Mathematicians /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Chaos/ by Andrew Fowler, Mark McGuinness.
Reminder of title:	An Introduction for Applied Mathematicians /
Author:	Fowler, Andrew.
other author:	McGuinness, Mark.
Description:	XIV, 303 p. 133 illus., 55 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-3-030-32538-1
ISBN:	9783030325381

Chaos = An Introduction for Applied Mathematicians /
Fowler, Andrew.

ChaosAn Introduction for Applied Mathematicians /[electronic resource] :by Andrew Fowler, Mark McGuinness. - 1st ed. 2019. - XIV, 303 p. 133 illus., 55 illus. in color.online resource.

1 Introduction -- 2 One-Dimensional Maps -- 3 Hopf Bifurcations -- 4 Homoclinic Bifurcations -- 5 Hamiltonian Systems -- 6 Diverse Applications -- Appendix -- References.

This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.

ISBN: 9783030325381

Standard No.: 10.1007/978-3-030-32538-1doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 519

Chaos = An Introduction for Applied Mathematicians /
LDR:02720nam a22003855i 4500 001 1010120
003 DE-He213
005 20200630203938.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030325381 $9 978-3-030-32538-1
024 7 $a 10.1007/978-3-030-32538-1 $2 doi
035 $a 978-3-030-32538-1
050 4 $a QC19.2-20.85
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
082 0 4 $a 519 $2 23
100 1 $a Fowler, Andrew. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 787470
245 1 0 $a Chaos $h [electronic resource] : $b An Introduction for Applied Mathematicians / $c by Andrew Fowler, Mark McGuinness.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XIV, 303 p. 133 illus., 55 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a 1 Introduction -- 2 One-Dimensional Maps -- 3 Hopf Bifurcations -- 4 Homoclinic Bifurcations -- 5 Hamiltonian Systems -- 6 Diverse Applications -- Appendix -- References.
520 $a This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.
650 0 $a Mathematical physics. $3 527831
650 0 $a Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Approximation theory. $3 527707
650 0 $a Statistical physics. $3 528048
650 1 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Approximations and Expansions. $3 672153
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
700 1 $a McGuinness, Mark. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1304161
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030325374
776 0 8 $i Printed edition: $z 9783030325398
856 4 0 $u https://doi.org/10.1007/978-3-030-32538-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)