MARC details
| 000 -LEADER |
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| fixed length control field |
02974nam a22003497i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
URS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220117094655.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
181206b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781493963874 (alk. paper) |
| 040 ## - CATALOGING SOURCE |
|---|
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
URS |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA 371 |
| Item number |
Sch136 2016 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Schaeffer, David G., |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Ordinary differential equations : |
| Remainder of title |
basics and beyond / |
| Statement of responsibility, etc. |
David G. Schaeffer, John W. Cain. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2016] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2016 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxx, 542 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Texts in applied mathematics, |
| International Standard Serial Number |
0939-2475 ; |
| Volume/sequential designation |
v. 65 |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Includes references and index. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction -- Linear Systems with Constant Coefficients -- Nonlinear Systems: Local Theory -- Nonlinear Systems: Global Theory -- Nondimensionalization and Scaling -- Trajectories Near Equilibria -- Oscillations in ODEs -- Bifurcation from Equilibria -- Examples of Global Bifurcation -- Epilogue -- Appendices. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text. Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).-- |
| Assigning source |
Source other than Library of Congress. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations. |
| Source of heading or term |
fast |
| Authority record control number or standard number |
(OCoLC)fst00893446 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Cain, John W. |
| Titles and other words associated with a name |
(Mathematician), |
| Relator term |
author. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Texts in applied mathematics ; |
| Volume/sequential designation |
v. 65. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
1850-9999 |
| Uniform Resource Identifier |
<a href="http://link.springer.com/">http://link.springer.com/</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Foreign Books |
