Ordinary Differential Equations (Record no. 19905)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02951nam a2200349 4500 |
| 001 - CONTROL NUMBER | |
| control field | OTLid0000525 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20201105133336.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180907s2017 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MnU |
| Language of cataloging | eng |
| Transcribing agency | MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA37.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Wiggins, Stephen |
| Relator term | author |
| 245 00 - TITLE STATEMENT | |
| Title | Ordinary Differential Equations |
| Statement of responsibility, etc. | Stephen Wiggins |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Name of producer, publisher, distributor, manufacturer | Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Name of producer, publisher, distributor, manufacturer | Stephen Wiggins |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 490 0# - SERIES STATEMENT | |
| Series statement | Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- 1 Getting Started: The Language of ODEs -- 2 Special Structure and Solutions of ODEs -- 3 Behavior Near Trajectories and Invariant Sets: Stability -- 4 Behavior Near Trajectories: Linearization -- 5 Behavior Near Equilbria: Linearization -- 6 Stable and Unstable Manifolds of Equilibria -- 7 Lyapunov's Method and the LaSalle Invariance Principle -- 8 Bifurcation of Equilibria, I -- 9 Bifurcation of Equilibria, II -- 10 Center Manifold Theory -- A Jacobians, Inverses of Matrices, and Eigenvalues -- B Integration of Some Basic Linear ODEs -- C Finding Lyapunov Functions -- D Center Manifolds Depending on Parameters -- E Dynamics of Hamilton's Equations -- F A Brief Introduction to the Characteristics of Chaos -- Bibliography -- Index |
| 520 0# - SUMMARY, ETC. | |
| Summary, etc. | This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work. Students are very curious about the notion of chaos, and I have included some material in an appendix on that concept. The focus in that appendix is only to connect it with ideas that have been developed in this course related to ODEs and to prepare them for more advanced courses in dynamical systems and ergodic theory that are available in their third and fourth years. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS | |
| Copyright statement | Attribution |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on online resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| Form subdivision | Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Open Textbook Library |
| Relator term | distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://open.umn.edu/opentextbooks/textbooks/525">https://open.umn.edu/opentextbooks/textbooks/525</a> |
| Public note | Access online version |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Shelving location | Date acquired | Total Checkouts | Full call number | Date last seen | Uniform Resource Identifier | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Digital Library | Online Access | 05.11.2020 | QA1 | 05.11.2020 | https://open.umn.edu/opentextbooks/textbooks/525 | 05.11.2020 | eBook |