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World Scientific Publishing Company Analysis, Geometry and Topology of Elliptic Operators - Books

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Description

Explore the modern theory of elliptic operators through this specialized collection. Shaped by the Atiyah-Singer Index Theorem, this volume provides a comprehensive review of elliptic theory across various mathematical and physical disciplines. This work features contributions from 32 leading scientists representing 14 different countries. The text covers a wide range of recent developments, including topology, heat kernel techniques, and spectral invariants. Readers will find detailed discussions on cutting and pasting methods, noncommutative geometry, and Hamiltonian dynamics. Beyond pure mathematics, the volume connects these theories to theoretical particle, string, and membrane physics. As a first of its kind collection, it serves as a high-level resource for those studying the evolution of these mathematical concepts. It is designed to support the academic needs of graduate students and professional researchers seeking clear expositions of recent achievements in the field.

Key Features

Comprehensive review of elliptic theory shaped by the Atiyah-Singer Index Theorem.

Includes recent developments in topology, heat kernel techniques, and spectral invariants.

Covers diverse topics such as noncommutative geometry and Hamiltonian dynamics.

Connects mathematical theory to particle, string, and membrane physics.

Features contributions from 32 leading scientists across 14 different countries.

Provides clear expositions of newly-evolved achievements for academic study.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
26 April 2006
Listed Since
11 December 2006

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