Summary and Info
Designed for one-semester courses for senior undergraduates, this book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics. Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Prelude to Modern Analysis; 2 Metric Spaces; 3 The Fixed Point Theorem and its Applications; 4 Compactness; 5 Topological Spaces; 6 Normed Vector Spaces; 7 Mappings on Normed Spaces; 8 Inner Product Spaces; 9 Hilbert Space; Bibliography; Selected Solutions; Index.
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