Basic Analysis III : Mappings on Infinite Dimensional Spaces

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Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and i nner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature:Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplinesEmphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions Show more