Selected Works of Isadore Singer: Volume 2: Index Theory

The three volumes of this collection present the major mathematical works of Isadore Singer, selected by Singer himself and organized thematically into three volumes: Functional analysis, differential geometry, and eigenvalues, Index theory, and Gauge theory and physics. Each volume begins with a commentary and a short biography of Singer, and then presents the works on its theme in roughly chronological order.

Format: Hardback
Length: 458 pages
Publication date: 28 February 2022
Publisher: International Press of Boston Inc

This comprehensive collection showcases the distinguished mathematical contributions of Isadore Singer, meticulously curated and organized by Singer himself into three volumes. The first volume, titled "Functional Analysis, Differential Geometry, and Eigenvalues," delves into the realm of mathematical analysis, exploring fundamental concepts and techniques. It encompasses a range of topics, including measure theory, integration, and operator theory, providing a solid foundation for further study.

The second volume, titled "Index Theory," focuses on the study of mathematical structures and their properties. It explores topics such as algebraic structures, homological algebra, and sheaf theory, offering insights into the mathematical foundations of various fields.

The third volume, titled "Gauge Theory and Physics," delves into the interdisciplinary realm of gauge theory and its applications in physics. It discusses topics such as gauge symmetries, Yang-Mills theories, and the theory of quantum fields, providing a bridge between mathematics and the physical world.

Each volume in this collection begins with a comprehensive commentary, written by Singer himself, providing valuable insights and background information. Additionally, the first volume includes a short biography of Singer, shedding light on his life and career. The works presented in each volume are arranged chronologically, allowing readers to follow Singer's intellectual journey and appreciate the development of his mathematical ideas.

This collection is a treasure trove for mathematicians, students, and enthusiasts alike, offering a deep and insightful exploration of the major mathematical works of Isadore Singer. It serves as a testament to his profound contributions to the field and provides a valuable resource for anyone seeking to further their understanding of mathematical analysis, index theory, and gauge theory.

Isadore Singer's Mathematical Legacy:

Isadore Singer, a renowned mathematician, left an indelible mark on the field of mathematics with his significant contributions. His work spanned various areas, including functional analysis, differential geometry, index theory, and gauge theory. This comprehensive collection, carefully selected and organized by Singer himself, presents a treasure trove of his major mathematical works.

The first volume, titled "Functional Analysis, Differential Geometry, and Eigenvalues," delves into the realm of mathematical analysis. It explores fundamental concepts and techniques, such as measure theory, integration, and operator theory. Singer's contributions in this area laid the foundation for many subsequent developments in mathematics.

The second volume, titled "Index Theory," focuses on the study of mathematical structures and their properties. It explores topics such as algebraic structures, homological algebra, and sheaf theory, offering insights into the mathematical foundations of various fields. Singer's work in index theory played a crucial role in the development of modern mathematics.

The third volume, titled "Gauge Theory and Physics," delves into the interdisciplinary realm of gauge theory and its applications in physics. It discusses topics such as gauge symmetries, Yang-Mills theories, and the theory of quantum fields, providing a bridge between mathematics and the physical world. Singer's contributions in gauge theory have had a profound impact on the understanding of fundamental physics.

Each volume in this collection begins with a comprehensive commentary written by Singer himself. These commentaries provide valuable insights and background information, enhancing the reader's understanding of the mathematical concepts presented. Additionally, the first volume includes a short biography of Singer, shedding light on his life and career.

The works presented in each volume are arranged chronologically theologically, allowing readers to follow Singer's intellectual journey and appreciate the development of his mathematical ideas. This chronological arrangement enables a deeper understanding of Singer's thought processes and the influences that shaped his mathematical contributions.

This collection is a testament to Isadore Singer's profound mathematical legacy. It serves as a valuable resource for mathematicians, students, and enthusiasts alike. By presenting his major works in a comprehensive and organized manner, this collection provides a deep and insightful exploration of the field of mathematics. It serves as a valuable resource for anyone seeking to further their understanding of mathematical analysis, index theory, and gauge theory.

In conclusion, this comprehensive collection of Isadore Singer's mathematical works is a treasure trove of knowledge and insight. It showcases the profound contributions of Singer to the field of mathematics and provides a valuable resource for anyone seeking to further their understanding of these complex and fascinating areas of study.

Weight: 1132g
Dimension: 187 x 262 x 36 (mm)
ISBN-13: 9781571464064