This manual, "Square Summable Power Series," authored by Louis de Branges and James Rovnyak, was published by Dover Publications on December 8, 2014. It is an EPUB formatted book, written in English, and comprises 112 pages. This work delves into advanced mathematical concepts, specifically within Complex Analysis and Calculus, targeting advanced undergraduate and graduate students. Its core concepts include Hilbert space, analytic function theory, the invariant subspace concept, and formal power series methods, utilizing an elementary introduction with a focus on developing advanced performance through problems.
The purpose of this manual is to provide a comprehensive resource for understanding and applying the principles of square summable power series. It covers key methodologies, including the extensive use of formal power series methods, and offers an advanced level of analysis with minimal prerequisites of prior knowledge in analysis. The pedagogical approach, developed from lecture notes at several universities, emphasizes problem-solving to build expertise. This resource is designed to assist students and researchers in mastering complex mathematical theories and techniques.
This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory.
The presentation is elementary in that it requires little previous knowledge of analysis, but it is designed to lead students to an advanced level of performance. This is achieved chiefly through the use of problems, many of which were proposed by former students. The book's tried-and-true approach was developed from the authors' lecture notes on courses taught at Lafayette College, Bryn Mawr College, and Purdue University.
Author: de Branges, Louis
Author: Rovnyak, James
Publisher: Dover Publications
Illustration: N
Language: ENG
Title: Square Summable Power Series
Pages: 00112 (Encrypted EPUB)
On Sale: 2014-12-08
SKU-13/ISBN: 9780486789996
Category: Mathematics : Complex Analysis
Category: Mathematics : Calculus
This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory.
The presentation is elementary in that it requires little previous knowledge of analysis, but it is designed to lead students to an advanced level of performance. This is achieved chiefly through the use of problems, many of which were proposed by former students. The book's tried-and-true approach was developed from the authors' lecture notes on courses taught at Lafayette College, Bryn Mawr College, and Purdue University.
Author: de Branges, Louis
Author: Rovnyak, James
Publisher: Dover Publications
Illustration: N
Language: ENG
Title: Square Summable Power Series
Pages: 00112 (Encrypted EPUB)
On Sale: 2014-12-08
SKU-13/ISBN: 9780486789996
Category: Mathematics : Complex Analysis
Category: Mathematics : Calculus
