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Chapman and Hall/CRC Geometric Sturmian Theory of Nonlinear PDEs

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Description

Explore the evolution of Sturmian argument for parabolic equations through this specialized academic text. While classical Sturm theorems focused on the zeros of second-order ODEs, the study of zero set analysis for parabolic PDEs was largely overlooked for nearly a century. This book tracks the historical revival of these concepts, from the brief resurgence by Polya in the 1930s to their significant integration into parabolic equation theory during the 1980s. This volume provides a deep look into how these rediscovered mathematical arguments have found fundamental applications in modern science. By focusing on the geometric Sturmian theory of nonlinear parabolic equations, the text serves as a vital resource for researchers and students studying nonlinear science and applied mathematics. It bridges the gap between forgotten 19th-century theories and the contemporary applications that define the current understanding of parabolic PDEs.

Key Features

Covers the historical development of Sturmian argument for parabolic PDEs from the 19th century to modern applications.

Examines the transition from classical Sturm theorems on second-order ODEs to complex parabolic equation theory.

Provides detailed analysis of the revival of zero set analysis originally noted by Polya in the 1930s.

Explores the fundamental applications of Sturmian theory that emerged in the 1980s within the field of nonlinear science.

Part of the Chapman and Hall/CRC Applied Mathematics and Nonlinear Science series for academic depth.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
24 May 2004
Listed Since
05 February 2007

Barcode

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