Introduction to Complex Analysis in Several Variables

2. Auflage 2023
ISBN: 978-3-031-26427-6
Verlag: Springer Nature Switzerland

Buch, Englisch, 229 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 421 g

Reihe: Compact Textbooks in Mathematics

This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. Therefore, the book contains more than 50 examples and more than 100 supporting exercises.

Zielgruppe

Research

Autoren/Hrsg.

Scheidemann, Volker

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

- 1. Elementary Theory of Several Complex Variables. - 2. Continuation on Circular and Polycircular Domains. - 3. Biholomorphic Maps. - 4. Analytic Sets. - 5. Hartogs’ Kugelsatz. - 6. Continuation on Tubular Domains. - 7. Cartan–Thullen Theory. - 8. Local Properties of Holomorphic Functions. - 9. Hints to the Exercises.

Über Autor(innen)

Volker Scheidemann is a professor at the department for informatics and business informatics at Provadis School of International Management and Technology. Before becoming professor, he has been working in information security for about 20 years specializing in applied cryptography and security awareness. He is a renowned speaker at conferences and conducts workshops and trainings together with his wife in their agency Scheidemann Training. He holds an award for competence-oriented teaching for his teaching format ‘Escape Room’. Being an enthusiastic Lindy Hop dancer he borrows his teaching motto from an old Swing classic: “T’ain’t what you do, it’s the way that you do it – that’s what gets results!”