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Dover Books On Mathematics - Introduction To Abstract Analysis (Cód: 9349613)

Goldstein, Marvin E; Rosenbaum, Burt M

Dover Publications-Id

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Dover Books On Mathematics - Introduction To Abstract Analysis

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Descrição

Developed from lectures delivered at NASA's Lewis Research Center, this concise text introduces scientists and engineers with backgrounds in applied mathematics to the concepts of abstract analysis. Rather than preparing readers for research in the field, this volume offers background necessary for reading the literature of pure mathematics.Starting with elementary set concepts, the treatment explores real numbers, vector and metric spaces, functions and relations, infinite collections of sets, and limits of sequences. Additional topics include continuity and function algebras, Cauchy completeness of metric space, infinite series, and sequences of functions and function spaces. The relation between convergence and continuity and algebraic operations is discussed in the abstract setting of linear spaces in order to acquaint readers with these important concepts in a fairly simple way. Detailed, easy-to-follow proofs and examples illustrate how the material relates to and serves as a foundation for more advanced subjects.Dover (2015) republication of the edition originally published by the Scientific and Technical Information Division, Office of Technology Utilization, NASA, Washington, D.C, 1969.See every Dover book in print atwww.doverpublications.com Developed from lectures delivered at NASA's Lewis Research Center, this concise text introduces scientists and engineers with backgrounds in applied mathematics to the concepts of abstract analysis. Rather than preparing readers for research in the field, this volume offers background necessary for reading the literature of pure mathematics.Starting with elementary set concepts, the treatment explores real numbers, vector and metric spaces, functions and relations, infinite collections of sets, and limits of sequences. Additional topics include continuity and function algebras, Cauchy completeness of metric space, infinite series, and sequences of functions and function spaces. The relation between convergence and continuity and algebraic operations is discussed in the abstract setting of linear spaces in order to acquaint readers with these important concepts in a fairly simple way. Detailed, easy-to-follow proofs and examples illustrate how the material relates to and serves as a foundation for more advanced subjects.

Características

Produto sob encomenda Sim
Marca Dover Publications-Id
Cód. Barras 9780486789460
Altura 23.11 cm
I.S.B.N. 9780486789460
Profundidade 1.78 cm
Referência 031370353
Acabamento Brochura
Ano da edição 2015
Idioma Inglês
Número de Páginas 256
Peso 0.36 Kg
Largura 15.49 cm
AutorGoldstein, Marvin E; Rosenbaum, Burt M

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