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scheidemann volker - introduction to complex analysis in several variables

Introduction to Complex Analysis in Several Variables




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 04/2023
Edizione: 2nd ed. 2023





Trama

The idea for this book came when I was an assistant at the Department of Mat- matics and Computer Science at the Philipps-University Marburg, Germany. S- eraltimesIfacedthetaskofsupportinglecturesandseminarsoncomplexanalysis of several variables and found out that there are very few books on the subject, compared to the vast amount of literature on function theory of one variable, let alone on real variables or basic algebra. Even fewer books, to my understanding, were written primarily with the student in mind. So it was quite hard to ?nd s- porting examples and exercises that helped the student to become familiar with the fascinating theory of several complex variables. Of course, there are notable exceptions, like the books of R.M. Range [9] or B. and L. Kaup [6], however, even those excellent books have a drawback: they are quite thick and thus quite expensive for a student’s budget. So an additional motivation to write this book was to give a comprehensive introduction to the theory of several complex variables, illustrate it with as many examples as I could ?nd and help the student to get deeper insight by giving lots of exercises, reaching from almost trivial to rather challenging. There are not many illustrations in this book, in fact, there is exactly one, becauseinthetheoryofseveralcomplexvariablesI?ndmostofthemeithertrivial or misleading. The readers are of course free to have a di?erent opinion on these matters.




Sommario

- Elementary theory of several complex variables. 
- Continuation on circular and polycircular domains. 
- Biholomorphic maps. 
- Analytic Sets. 
- Hartogs’ Kugelsatz.
- Continuation on Tubular Domains. 
- Cartan–Thullen Theory. 
- Local Properties of holomorphic functions. 
- Hints to the exercises.




Autore

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!”











Altre Informazioni

ISBN:

9783031264276

Condizione: Nuovo
Collana: Compact Textbooks in Mathematics
Dimensioni: 235 x 155 mm Ø 452 gr
Formato: Brossura
Illustration Notes:XII, 229 p. 5 illus., 4 illus. in color.
Pagine Arabe: 229
Pagine Romane: xii


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