Mathematical modelling in one dimension : an introduction via difference and differential equations / Jacek Banasiak.

Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

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Bibliographic Details
Main Author: Banasiak, J.
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 2013.
Series:AIMS library series.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Banasiak, J. 
245 1 0 |a Mathematical modelling in one dimension :  |b an introduction via difference and differential equations /  |c Jacek Banasiak. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2013. 
300 |a 1 online resource (x, 110 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a AIMS library series 
504 |a Includes bibliographical references and index. 
520 |a Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena. 
588 0 |a Print version record. 
505 0 |a Cover; Contents; Preface; 1 Mathematical toolbox; 1.1 Difference equations; 1.2 Differential equations -- an introduction; 1.3 Some equations admitting closed form solutions; 1.4 The Cauchy problem -- existence and uniqueness; 2 Basic difference equations models and their analysis; 2.1 Difference equations of financial mathematics; 2.2 Difference equations of population theory; 2.3 Some applications of discrete population models; 2.4 Some explicitly solvable nonlinear models; 3 Basic differential equations models; 3.1 Equations related to financial mathematics; 3.2 Radiocarbon dating. 
505 8 |a 3.3 Differential equations for population models3.4 Equations of motion: second-order equations; 3.5 Equations arising from geometrical modelling; 4 Qualitative theory for a single equation; 4.1 Equilibria of first-order equations; 4.2 Equilibrium points of difference equations; 5 From discrete to continuous models and back; 5.1 Discretizing differential equations; 5.2 Discrete equations in continuous time models; 5.3 Stability of differential and difference equations; References; Index. 
546 |a English. 
650 0 |a Mathematical models. 
650 0 |a Difference equations. 
650 0 |a Differential equations. 
650 7 |a mathematical models.  |2 aat 
650 7 |a MATHEMATICS  |x General.  |2 bisacsh 
650 7 |a Ecuaciones diferenciales  |2 embne 
650 7 |a Differential equations, Nonlinear  |2 fast 
650 7 |a Difference equations  |2 fast 
650 7 |a Differential equations  |2 fast 
650 7 |a Mathematical models  |2 fast 
655 0 |a Electronic book. 
758 |i has work:  |a Mathematical Modelling in One Dimension (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGdKtW74pMQhthhJ6CWp8C  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Banasiak, Jacek.  |t Mathematical Modelling in One Dimension.  |d Cambridge : Cambridge University Press, 2013  |z 9781107654686 
830 0 |a AIMS library series. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1113121  |y Click for online access 
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