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Exercises of Differential Linear Systems
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In this book exercises are carried out regarding the following mathematical topics:
2x2 and 3x3 linear differential systems
Cauchy problems related to linear systems with constant coefficients
search for and determination of eigenvalues related to linear systems
Initial theoretical hints concerning matrix theory are also presented to make the performance of the exercises understandable.
Author
Simone Malacrida
Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.
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Exercises of Differential Linear Systems - Simone Malacrida
Exercises of Differential Linear Systems
SIMONE MALACRIDA
In this book exercises are carried out regarding the following mathematical topics:
2x2 and 3x3 linear differential systems
Cauchy problems related to linear systems with constant coefficients
search for and determination of eigenvalues related to linear systems
Initial theoretical hints concerning matrix theory are also presented to make the performance of the exercises understandable.
Simone Malacrida (1977)
Engineer and writer, has worked on research, finance, energy policy and industrial plants.
ANALYTICAL INDEX
––––––––
INTRODUCTION
––––––––
I – OUTLINE OF MATRIX THEORY
Definitions
Operations and properties
Matrix calculation
Applications
––––––––
II – 2x2 LINEAR DIFFERENTIAL SYSTEMS
Exercise 1
Exercise 2
Exercise 3
Exercise4
Exercise 5
––––––––
III - 3x3 LINEAR DIFFERENTIAL SYSTEMS
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
INTRODUCTION
In this workbook some examples of calculations related to linear differential systems and related Cauchy problems are carried out.
Furthermore, an introduction to matrix theory is presented, necessary to understand the method of solving linear differential systems.
These systems play a primary role within the broader casuistry of differential systems. In fact, numerical analysis tends to bring every type of calculation back to a linear system, by adopting appropriate linearization procedures.
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