Dynamic Equations on Time Scales

,

Wysyłka: Niedostępna
Sugerowana cena detaliczna 247,00 PLN
Nasza cena: 233,00 PLN
Oszczędzasz 5%
Dodaj do Schowka
Zaloguj się
Przypomnij hasło
×
×
Paypo
Oferujemy szeroki asortyment - ponad 120 tys. produktów
Dysponujemy solidną wiedzą - działamy już 11 lat
Dbamy o wybór najcenniejszych tytułów

Opis: Dynamic Equations on Time Scales - Allan C. Peterson, Martin Bohner

The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. Further, the study of measure chain theory has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, and epidemic models. Key features of the book: * Introduction to measure chain theory; discussion of its usefulness in allowing for the simultaneous development of differential equations and difference equations without having to repeat analogous proofs * Many classical formulas or procedures for differential and difference equations cast in a new light * New analogues of many of the "special functions" studied * Examination of the properties of the "exponential function" on time scales, which can be defined and investigated using a particularly simple linear equation * Additional topics covered: self-adjoint equations, linear systems, higher order equations, dynamic inequalities, and symplectic dynamic systems * Clear, motivated exposition, beginning with preliminaries and progressing to more sophisticated text * Ample examples and exercises throughout the book * Solutions to selected problems Requiring only a first semester of calculus and linear algebra, Dynamic Equations on Time Scales may be considered as an interesting approach to differential equations via exposure to continuous and discrete analysis. This approach provides an early encounter with many applications in such areas as biology, physics, and engineering. Parts of the book may be used in a special topics seminar at the senior undergraduate or beginning graduate levels. Finally, the work may "This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level." -Zentralblatt Math "The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area." -Mathematical ReviewsPreface * The Time Scales Calculus * First Order Linear Equations * Second Order Linear Equations * Self-Adjoint Equations * Linear Systems and Higher Order Equations * Dynamic Inequalities * Linear Symplectic Dynamic Systems * Extensions * Solutions to Selected Problems * Bibliography * Index


Szczegóły: Dynamic Equations on Time Scales - Allan C. Peterson, Martin Bohner

Tytuł: Dynamic Equations on Time Scales
Autor: Allan C. Peterson, Martin Bohner
Producent: Birkhauser
ISBN: 9780817642259
Rok produkcji: 2001
Ilość stron: 368
Oprawa: Twarda
Waga: 0.86 kg


Recenzje: Dynamic Equations on Time Scales - Allan C. Peterson, Martin Bohner

Zaloguj się
Przypomnij hasło
×
×

Dynamic Equations on Time Scales

,

The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. Further, the study of measure chain theory has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, and epidemic models. Key features of the book: * Introduction to measure chain theory; discussion of its usefulness in allowing for the simultaneous development of differential equations and difference equations without having to repeat analogous proofs * Many classical formulas or procedures for differential and difference equations cast in a new light * New analogues of many of the "special functions" studied * Examination of the properties of the "exponential function" on time scales, which can be defined and investigated using a particularly simple linear equation * Additional topics covered: self-adjoint equations, linear systems, higher order equations, dynamic inequalities, and symplectic dynamic systems * Clear, motivated exposition, beginning with preliminaries and progressing to more sophisticated text * Ample examples and exercises throughout the book * Solutions to selected problems Requiring only a first semester of calculus and linear algebra, Dynamic Equations on Time Scales may be considered as an interesting approach to differential equations via exposure to continuous and discrete analysis. This approach provides an early encounter with many applications in such areas as biology, physics, and engineering. Parts of the book may be used in a special topics seminar at the senior undergraduate or beginning graduate levels. Finally, the work may "This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level." -Zentralblatt Math "The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area." -Mathematical ReviewsPreface * The Time Scales Calculus * First Order Linear Equations * Second Order Linear Equations * Self-Adjoint Equations * Linear Systems and Higher Order Equations * Dynamic Inequalities * Linear Symplectic Dynamic Systems * Extensions * Solutions to Selected Problems * Bibliography * Index

Powiadom o dostępności
Podaj swój e-mail a zostaniesz poinformowany jak tylko pozycja będzie dostępna.
×
Cena 247,00 PLN
Nasza cena 233,00 PLN
Oszczędzasz 5%
Wysyłka: Niedostępna
Dodaj do Schowka
Zaloguj się
Przypomnij hasło
×
×

Paypo

Szczegóły: Dynamic Equations on Time Scales - Allan C. Peterson, Martin Bohner

Tytuł: Dynamic Equations on Time Scales
Autor: Allan C. Peterson, Martin Bohner
Producent: Birkhauser
ISBN: 9780817642259
Rok produkcji: 2001
Ilość stron: 368
Oprawa: Twarda
Waga: 0.86 kg


Recenzje: Dynamic Equations on Time Scales - Allan C. Peterson, Martin Bohner

Zaloguj się
Przypomnij hasło
×
×

Klienci, którzy kupili oglądany produkt kupili także:


Zaloguj się
Przypomnij hasło
×
×
Dodane do koszyka
×