APPLIED ANALYSIS (3RD ED)

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The new edition enhances the study of applied analysis by incorporating essential materials from both applied and theoretical sciences relevant to contemporary society. It covers mathematical modeling with ODEs, Riemann geometry, and tensor analysis in continuum mechanics, alongside detailed discussions on optimization and real analysis in PDE studies. Advanced topics include integration of ODEs, inverse Sturm-Liouville problems, and diffusion geometry, with corrections and extensions to the analysis of the Smoluchowski-Poisson equation, focusing on quantized blowup mechanisms.