Differential systems and complex analysis for engineers

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