Differential systems and complex analysis for engineers
Preț: 58,20 lei
Disponibilitate: stoc indisponibil
Autor: Valeriu Prepelita
Editura: MATRIX ROM BUCURESTI
DESCRIERE
Differential systems and complex analysis for engineers
Foreword
Chapter 1. Systems of Differential Equations (SDEs)
1.1 Linear and Homogenous SDEs
1.2 Linear and Non-homogenous SDEs
1.3 Stability
1.4 Exercises
Chapter 2. Functions of a Complex Variable
2.1 The Field C
2.2 The Topology on eC
2.3 Examples of Functions of a Complex Variable
2.4 Exercises
Chpater 3. Complex Differentiation
3.1 Analytic Functions
3.2 Harmonic Conjugates
3.3 Analytic Continuation
3.4 Determination of Analytic Functions
3.5 Exercises
Chapter 4. Complex Integration
4.1 The Complex Line Integral
4.2 Cauchy's Theorems
4.3 Taylor and Laurent Series
4.4 Classification of Singular Points
4.5 Exercises
Chapter 5. Residue Theory
5.1 The Residue Theorem
5.2 Computation of Residues at Poles
5.3 Jordan's Lemmas
5.4 Applications of the Residue Theorem
5.5 Exercises
Chapter 6. Software
6.1 Stability with MATLAB
6.2 MATLAB and MAPLE Commands for Complex Numbers and for Functions of a
Complex Variable
Bibliography
REVIEW-URI