A Complex Analysis Problem Book

• Κύριος συγγραφέας: Alpay, Daniel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Θέματα: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.

This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some...

Πίνακας περιεχομένων:

• Prologue
• I Complex numbers
• 1 Complex numbers: algebra
• 2 Complex numbers: geometry
• 3 Complex numbers and analysis
• 4. Remarks and generalizations: quaternions, etc
• II Functions of a complex variable
• 5 C-differentiable functions
• 6 Cauchy's theorem
• 7 First applications
• 8 Laurent expansions and applications
• 9 Computations of definite integrals
• 10 Harmonic functions
• 11 Conformal mappings.-III Complements
• 12 Some useful theorems
• 13 Some topology
• References
• Index.