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Collected Papers of K.-T. Chen (2001)

Collected Papers of K.T. Chen

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"Collected Papers of K.T. Chen" by Kuo-Tsai Chen, Philippe Tondeur is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Kuo-Tsai Chen (1923-1987) is best known to the mathematics community for his work on iterated integrals and power series connections in conjunction with his research on the cohomology of loop spaces. His work is intimately related to the theory of minimal models as developed by Dennis Sullivan, whose own work was in part inspired by the research of Chen. An outstanding and original mathematician, Chen's work falls naturally into three periods: his early work on group theory and links in the three sphere; his subsequent work on formal differential equations, which gradually developed into his most powerful and important work; and his work on iterated integrals and homotopy theory, which occupied him for the last twenty years of his life. The goal of Chen's iterated integrals program, which is a de Rham theory for path spaces, was to study the interaction of topology and analysis through path integration. The present volume is a comprehensive collection of Chen's mathematical publications preceded by an article, "The Life and Work of Kuo-Tsai Chen," placing his work and research interests into their proper context and demonstrating the power and scope of his influence.

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Best For: Researchers and students interested in advanced mathematical analysis, topology, and algebra.
Focus: The mathematical contributions of Kuo-Tsai Chen, particularly on iterated integrals, power series connections, and cohomology of loop spaces.
Covers: Topics including mathematical analysis, group theory, differential equations, geometry, topology, and abstract algebra.
Why It Matters: Chen's work influenced the development of minimal models in topology and has connections to foundational research by Dennis Sullivan, marking significant progress in these mathematical areas.

"Collected Papers of K.T. Chen" by Kuo-Tsai Chen, Philippe Tondeur 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: Kuo-Tsai Chen, Philippe Tondeur

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.

Kuo-Tsai Chen (1923-1987) is best known to the mathematics community for his work on iterated integrals and power series connections in conjunction with his research on the cohomology of loop spaces. His work is intimately related to the theory of minimal models as developed by Dennis Sullivan, whose own work was in part inspired by the research of Chen. An outstanding and original mathematician, Chen's work falls naturally into three periods: his early work on group theory and links in the three sphere; his subsequent work on formal differential equations, which gradually developed into his most powerful and important work; and his work on iterated integrals and homotopy theory, which occupied him for the last twenty years of his life. The goal of Chen's iterated integrals program, which is a de Rham theory for path spaces, was to study the interaction of topology and analysis through path integration. The present volume is a comprehensive collection of Chen's mathematical publications preceded by an article, "The Life and Work of Kuo-Tsai Chen," placing his work and research interests into their proper context and demonstrating the power and scope of his influence.

AuthorKuo-Tsai Chen, Philippe Tondeur
PublisherSpringer Science & Business Media
Published2001-06-21
ISBN-139780817640057
BindingHardcover
Pages776
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesContemporary Mathematicians

Format: Hardcover

Length: 776 pages

Language: English

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