| 000 -LEADER |
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| fixed length control field |
02912nam a22002897a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160506091644.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
160420b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319164076 (pbk.) |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
UG |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA372 |
| Item number |
A34 2015 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ahmad, Shair. |
| 245 12 - TITLE STATEMENT |
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| Title |
A textbook on ordinary differential equations / |
| Statement of responsibility, etc |
Shair Ahmad, Antonio Ambrosetti. |
| 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 |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 321 p. : |
| Other physical details |
ill., diagrs., graphs. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
(Unitext - La matematica per il 3+2 ; |
| Volume number/sequential designation |
vol. 88) |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
First order linear differential equations -- Theory of first order differential equations -- First order nonlinear differential equations -- Existence and uniqueness for systems and higher order equations -- Second order equations -- Higher order linear equations -- Systems of first order equations -- Qualitative analysis of 2x2 systems and nonlinear second order equations -- Sturm Liouville eigenvalue theory -- Solutions by infinite series and Bessel functions -- Laplace transform -- Stability theory -- Boundary value problems -- Appendix A. Numerical methods -- Answers to selected exercises. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. |
| 541 ## - IMMEDIATE SOURCE OF ACQUISITION NOTE |
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| Donor |
Jermey Matthew |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
| General subdivision |
Numerical solutions. |
|
|---|
| Topical term or geographic name as entry element |
Differential equations |
| Form subdivision |
Problems, exercises, etc |
|
|---|
| Topical term or geographic name as entry element |
Differential equations, Linear. |
|
|---|
| Topical term or geographic name as entry element |
Differential equations, Linear |
| General subdivision |
Numerical solutions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ambrosetti, Antonio. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Entry Department |
TSD |
| Source of classification or shelving scheme |
|
| Acquisition - Verified |
JB |
| Verified |
KB |