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: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Έκδοση: 2nd ed. 2016.
• Θέματα: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.

This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics...

Πίνακας περιεχομένων:

• Part I Complex Numbers
• Complex Numbers: Algebra
• Complex Numbers: Geometry
• Complex Numbers and Analysis
• Part II Functions of a Complex Variable
• Cauchy–Riemann Equations and C-differentiable Functions
• Cauchy’sTheorem
• Morera, Liouville, Schwarz, et les autres: First Applications
• Laurent Expansions, Residues, Singularities and Applications
• Computations of Definite Integrals Using the Residue Theorem
• Part III Applications and More Advanced Topics
• Harmonic Functions
• Conformal Mappings
• A Taste of Linear System Theory and Signal Processing
• Rational Functions
• Special Functions and Transforms
• Part IV Appendix
• Some Topology
• Some Functional Analysis Essentials
• A Brief Survey of Integration.