Mathematical Analysis: Linear and Metric Structures and Continuity

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Part of the foundation of any mathematics education, mathematical analysis has deep applications to dynamical systems, topology, physics and engineering. These independent, fairly self-contained texts, under the general title Mathematical Analysis, provide not only a rigorous and far-reaching introduction to the modern subject, but a unique examination of its historical evolution as well. This third volume in the sequence encompasses linear and metric spaces and structures, with detailed coverage at the graduate level. Mathematical Analysis: Linear and Metric Structures, Continuity contains numerous beautiful illustrations and examples, exercises at the end of each chapter, and a comprehensive index. It will be valuable in graduate seminars and courses or as a reference text for mathematicians, physicists, and engineers.