Qualitative theory of ODEs : (Record no. 49723)

MARC details
000 -LEADER
fixed length control field 03168cam a22004578a 4500
003 - CONTROL NUMBER IDENTIFIER
control field WSP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260416153407.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220602s2022 si ob 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781800612693
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1800612699
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781800612686
-- (hbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1800612680
-- (hbk.)
042 ## - AUTHENTICATION CODE
Authentication code pcc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 007010
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 040000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 003000
Source bisacsh
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.352
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Żołądek, Henryk,
245 10 - TITLE STATEMENT
Title Qualitative theory of ODEs :
Remainder of title an introduction to dynamical systems theory /
Statement of responsibility, etc Henryk Żołądek, Raul Murillo.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore :
Name of publisher, distributor, etc World Scientific,
Date of publication, distribution, etc 2022.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (284 p.).
505 0# - FORMATTED CONTENTS NOTE
Contents Singular points of vector fields -- Phase portraits of vector fields -- Bifurcation theory -- Equations with a small parameter -- Irregular dynamics in differential equations -- Appendix: Basic concepts and theorems of the theory of ODEs.
520 ## - SUMMARY, ETC.
Summary, etc "The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods. The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state. Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on the first author's translation of lecture notes in Polish by the second author, edited in the portal Matematyka Stosowana (Applied Mathematics) at the University of Warsaw"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamics
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Murillo, Raul.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://www.worldscientific.com/worldscibooks/10.1142/q0374#t=toc">https://www.worldscientific.com/worldscibooks/10.1142/q0374#t=toc</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Electronic Books
100 1# - MAIN ENTRY--PERSONAL NAME
Dates associated with a name 1953-
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
-- Provided by publisher.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat reader.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
General subdivision Qualitative theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
General subdivision Mathematical models.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Location Date of Cataloging Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
    Dewey Decimal Classification     CUTN Central Library CUTN Central Library 16/04/2026   515.352 EB04992 16/04/2026 https://doi.org/10.1142/q0374 16/04/2026 Electronic Books