Function Theory in the Unit Ball of Cn (Classics in Mathematics) - Softcover

Rudin, Walter

Softcover

ISBN 10: 3540682724 ISBN 13: 9783540682721

Publisher: Springer Berlin Heidelberg, 2008

Synopsis

Function Theory in the Unit Ball of Cn. From the reviews: "...The book is easy on the reader. The prerequisites are minimal-just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. ...certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society.  

"...an excellent introduction to one of the most active research fields of complex analysis. ...As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. ...Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. ...Numerous examples throw light on the results as well as on the difficulties."

C. Andreian Cazacu in Zentralblatt für Mathematik

About this title

Review:

“This book by Rudin was written in a period that a new type of approach to functions of several complex variables emerged ... . a basic textbook that is quite accessible, and its reprint will be enjoyed by many researchers and students in complex analysis.” (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 18, 2011)

Synopsis:

'The book is easy on the reader. The prerequisites are minimal - just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work...certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses' - R. Rochberg in "Bulletin of the London Mathematical Society". '...an excellent introduction to one of the most active research fields of complex analysis. As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. Numerous examples throw light on the results as well as on the difficulties' - C. Andreian Cazacu in "Zentralblatt fur Mathematik".

About this edition

• Publisher: Springer Berlin Heidelberg
• Publication date: 2008
• ISBN 10: 3540682724
• ISBN 13: 9783540682721
• Binding: Paperback
• Number of pages: 460