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| fixed length control field |
04107nam a22003617a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240615185254.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240604b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470425807 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| Modifying agency |
|
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
517.91 |
| Item number |
ROB-I |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Robinson, R. Clark |
| Fuller form of name |
(Rex Clark), |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to dynamical systems : |
| Remainder of title |
continuous and discrete |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Hyderabad : |
| Name of publisher, distributor, etc. |
Universities Press, |
| Date of publication, distribution, etc. |
2012. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xx, 733p. : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
|
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Pure and applied undergraduate texts ; |
| Volume/sequential designation |
19 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 721-726) and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year long course.<br/><br/>The material on differential equations introduces the qualitative or geometric approach through a treatment of linear systems in any dimension. There follows chapters where equilibria are the most important feature, where scalar (energy) functions is the principal tool, where periodic orbits appear, and finally, chaotic systems of differential equations. The many different approaches are systematically introduced through examples and theorems.<br/><br/>The material on discrete dynamical systems starts with maps of one variable and proceeds to systems in higher dimensions. The treatment starts with examples where the periodic points can be found explicitly and then introduces symbolic dynamics to analyze where they can be shown to exist but not given in explicit form. Chaotic systems are presented both mathematically and more computationally using Lyapunov exponents. With the one-dimensional maps as models, the multidimensional maps cover the same material in higher dimensions. This higher dimensional material is less computational and more conceptual and theoretical. The final chapter on fractals introduces various dimensions which is another computational tool for measuring the complexity of a system. It also treats iterated function systems which give examples of complicated sets.<br/><br/>In the second edition of the book, much of the material has been rewritten to clarify the presentation. Also, some new material has been included in both parts of the book.<br/><br/>This book can be used as a textbook for an advanced undergraduate course on ordinary differential equations and/or dynamical systems. Prerequisites are standard courses in calculus (single variable and multivariable), linear algebra, and introductory differential equations |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Undergraduate and graduate students interested in dynamical systems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Nonlinear theories. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Chaotic behavior in systems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Ordinary differential equations -- Qualitative theory -- Qualitative theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Smooth dynamical systems: general theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dynamical systems with hyperbolic behavior |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mechanics of particles and systems -- Nonlinear dynamics -- Nonlinear dynamics. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/amstext-19-toc.pdf?_gl=1*na2bg5*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxODQ1NjE2Mi4yLjEuMTcxODQ1NzQ4OS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/amstext-19-toc.pdf?_gl=1*na2bg5*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxODQ1NjE2Mi4yLjEuMTcxODQ1NzQ4OS4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/16700839-an-introduction-to-dynamical-systems?from_search=true&from_srp=true&qid=DOgkLS49Zk&rank=1#CommunityReviews">https://www.goodreads.com/book/show/16700839-an-introduction-to-dynamical-systems?from_search=true&from_srp=true&qid=DOgkLS49Zk&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
NBHM Books |
| Source of classification or shelving scheme |
Universal Decimal Classification |
