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Cover: 9783031264276 | Introduction to Complex Analysis in Several Variables | Scheidemann
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Introduction to Complex Analysis in Several Variables
Taschenbuch von Volker Scheidemann
Sprache: Englisch

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Beschreibung
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.

The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text.

This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.

The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text.

This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
Über den Autor
¿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!"
Zusammenfassung

This book gives 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 supporting exercises.

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.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
229 S.
1 s/w Illustr.
4 farbige Illustr.
229 p. 5 illus.
4 illus. in color.
ISBN-13: 9783031264276
ISBN-10: 3031264274
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Scheidemann, Volker
Auflage: Second Edition 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Volker Scheidemann
Erscheinungsdatum: 27.04.2023
Gewicht: 0,421 kg
Artikel-ID: 126450926
Über den Autor
¿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!"
Zusammenfassung

This book gives 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 supporting exercises.

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.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
229 S.
1 s/w Illustr.
4 farbige Illustr.
229 p. 5 illus.
4 illus. in color.
ISBN-13: 9783031264276
ISBN-10: 3031264274
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Scheidemann, Volker
Auflage: Second Edition 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Volker Scheidemann
Erscheinungsdatum: 27.04.2023
Gewicht: 0,421 kg
Artikel-ID: 126450926
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