MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03079nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20240610104812.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
240603b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470409135 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
517.9 |
| Item number |
TAY-I |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Taylor, Michael E. |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Introduction to differential equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Providence : |
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
2011. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 409p. : |
| Other physical details |
ill. ; |
| Dimensions |
27 cm. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Pure and applied undergraduate texts ; |
| Volume/sequential designation |
14 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (p. 403-405) and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis.<br/><br/>The first chapter treats single differential equations, emphasizing linear and nonlinear first order equations, linear second order equations, and a class of nonlinear second order equations arising from Newton's laws. The first order linear theory starts with a self-contained presentation of the exponential and trigonometric functions, which plays a central role in the subsequent development of this chapter. Chapter 2 provides a mini-course on linear algebra, giving detailed treatments of linear transformations, determinants and invertibility, eigenvalues and eigenvectors, and generalized eigenvectors. This treatment is more detailed than that in most differential equations texts, and provides a solid foundation for the next two chapters. Chapter 3 studies linear systems of differential equations. It starts with the matrix exponential, melding material from Chapters 1 and 2, and uses this exponential as a key tool in the linear theory. Chapter 4 deals with nonlinear systems of differential equations. This uses all the material developed in the first three chapters and moves it to a deeper level. The chapter includes theoretical studies, such as the fundamental existence and uniqueness theorem, but also has numerous examples, arising from Newtonian physics, mathematical biology, electrical circuits, and geometrical problems. These studies bring in variational methods, a fertile source of nonlinear systems of differential equations. The reader who works through this book will be well prepared for advanced studies in dynamical systems, mathematical physics, and partial differential equations. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential equations. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Ordinary differential equations |
| General subdivision |
Instructional exposition (textbooks, tutorial papers, etc.) |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of Content |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/amstext-14-toc.pdf?_gl=1*164fgcv*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5NjMwNC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/amstext-14-toc.pdf?_gl=1*164fgcv*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5NjMwNC4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/12977084-introduction-to-differential-equations?from_search=true&from_srp=true&qid=NQ6RY8LHTt&rank=1#CommunityReviews">https://www.goodreads.com/book/show/12977084-introduction-to-differential-equations?from_search=true&from_srp=true&qid=NQ6RY8LHTt&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
