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Function Theory in the Unit Ball of Cn

Function Theory in the Unit Ball of Cn

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"Function Theory in the Unit Ball of Cn" by Walter Rudin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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

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Best For: Graduate students and researchers in mathematics focusing on complex analysis and functional analysis.
Focus: Function theory specifically within the unit ball of complex n-dimensional space (Cn).
Covers: Fundamental concepts and advanced topics in function theory related to the unit ball in Cn, building on real analysis, one-variable complex analysis, and functional analysis.
Why It Matters: Provides a clear and thorough treatment of function theory in several complex variables with minimal prerequisites, serving as both a reference and a potential advanced course text.

"Function Theory in the Unit Ball of Cn" by Walter Rudin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Walter Rudin

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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

AuthorWalter Rudin
PublisherSpringer Science & Business Media
Published2008-07-28
ISBN-139783540682721
BindingPaperback
Pages464
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesClassics in Mathematics

Format: Paperback

Length: 464 pages

Language: English

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