A survey of nonlinear dynamics: "chaos theory"
This book is intended to give a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1992
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This book is intended to give a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of "chaos" in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years |
| Physical Description: | x, 107 p. ill |
| ISBN: | 9789814360111 |
Staff View
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| dewey-full | 003.7 |
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| discipline | Physik Informatik Mathematik |
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| id | DE-604.BV044638625 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:53Z |
| institution | BVB |
| isbn | 9789814360111 |
| language | English |
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| physical | x, 107 p. ill |
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| publishDate | 1992 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Ingraham, R. L. 1923- Verfasser aut A survey of nonlinear dynamics "chaos theory" R.L. Ingraham Singapore World Scientific Pub. Co. c1992 x, 107 p. ill txt rdacontent c rdamedia cr rdacarrier This book is intended to give a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of "chaos" in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9810207778 http://www.worldscientific.com/worldscibooks/10.1142/1497#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ingraham, R. L. 1923- A survey of nonlinear dynamics "chaos theory" Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4009754-7 |
| title | A survey of nonlinear dynamics "chaos theory" |
| title_auth | A survey of nonlinear dynamics "chaos theory" |
| title_exact_search | A survey of nonlinear dynamics "chaos theory" |
| title_full | A survey of nonlinear dynamics "chaos theory" R.L. Ingraham |
| title_fullStr | A survey of nonlinear dynamics "chaos theory" R.L. Ingraham |
| title_full_unstemmed | A survey of nonlinear dynamics "chaos theory" R.L. Ingraham |
| title_short | A survey of nonlinear dynamics |
| title_sort | a survey of nonlinear dynamics chaos theory |
| title_sub | "chaos theory" |
| topic | Chaotic behavior in systems Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaotic behavior in systems Chaostheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1497#t=toc |
| work_keys_str_mv | AT ingrahamrl asurveyofnonlineardynamicschaostheory |