An Introduction to Complex Analysis for Engineers

Просмотров: 20

• Preface
• Contents
• Chapter 1 Fundamentals
• 1.1 A Little History
• 1.2 Why Bother With Complex Numbers and Functions?
• 1.3 What are Complex Numbers?
• 1.4 Some Soothing Exercises
• 1.5 Some Classical Jargon
• 1.6 The Geometry of Complex Numbers
• 1.7 Conclusions
• Chapter 2 Functions from C to C : Some Easy Examples
• 2.1 A Linear Map
• 2.2 The function w = z2
• 2.3 The Square Root: w = z
• 2.4 Squares and Square roots: Summary
• 2.5 The function f(z) = 1z
• 2.6 The Mobius Transforms
• 2.7 The Exponential Function
• 2.8 Other powers
• 2.9 Trigonometric Functions
• Chapter 3 C - Di_erentiable Functions
• 3.1 Two sorts of Di_erentiability
• 3.2 Harmonic Functions
• 3.3 Conformal Maps
• Chapter 4 Integration
• 4.1 Discussion
• 4.2 The Complex Integral
• 4.3 Contour Integration
• 4.4 Some Inequalities
• 4.5 Some Solid and Useful Theorems
• Chapter 5 Taylor and Laurent Series
• 5.1 Fundamentals
• 5.2 Taylor Series
• 5.3 Laurent Series
• 5.4 Some Sums
• 5.5 Poles and Zeros
• Chapter 6 Residues
• 6.1 Trigonometric Integrals
• 6.2 In_nite Integrals of rational functions
• 6.3 Trigonometric and Polynomial functions
• 6.4 Poles on the Real Axis
• 6.5 More Complicated Functions
• 6.7 Concluding Remarks
• Bibliography

Навигация

• Главная
• Книги
• Статьи
• Обратная связь
• Поиск