Mathematical Analysis
Publication year: 2007
ISBN: 978-0-8176-4514-4
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The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.
Subject: Mathematics and Statistics, calculus, compactness, differential equation, self-adjoint operators, spectral theorem, topology of metric spaces, vector spaces, ordinary differential equations
