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Synopsis
An introduction to measure chain (time scale) theory with emphasis on its usefulness in allowing for the simultaneous development of differential equations and difference equations. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. The study of measure chain theory has also led to applications in the study of insect population models, neural networks, heat transfer, epidemic models. This book may stimulate the development of new kinds of equations with potentially new applications. Includes examples, exercises, solutions.
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Dynamic Equations on Time Scales
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Birkhäuser Boston, 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Neuf
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Dynamic Equations on Time Scales: An Introduction with Applications
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Dynamic Equations on Time Scales
Edité par
Birkhäuser Boston Okt 2012, 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals. 372 pp. Englisch. N° de réf. du vendeur 9781461266594
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Dynamic Equations on Time Scales
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Dynamic Equations on Time Scales
Edité par
Birkhäuser Boston, Birkhäuser Boston Okt 2012, 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 372 pp. Englisch. N° de réf. du vendeur 9781461266594
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Dynamic Equations on Time Scales : An Introduction with Applications
Edité par
Birkhäuser Boston, Birkhäuser Boston, 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals. N° de réf. du vendeur 9781461266594
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Dynamic Equations on Time Scales : An Introduction With Applications
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Dynamic Equations on Time Scales : An Introduction With Applications
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Dynamic Equations on Time Scales: An Introduction with Applications
Edité par
Springer-Verlag New York Inc., 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Dynamic Equations on Time Scales : An Introduction With Applications
Edité par
Birkhäuser, 2012
ISBN 10 : 1461266599
ISBN 13 : 9781461266594
Ancien ou d'occasion
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