Real and Functional Analysis - Mathematical Concepts and Methods in Science and Engineering - K Pothoven - Livros - Springer-Verlag New York Inc. - 9781468423334 - 21 de dezembro de 2013
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K Pothoven
Real and Functional Analysis - Mathematical Concepts and Methods in Science and Engineering Softcover reprint of the original 1st ed. 1978 edition

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This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory.

Publisher Marketing: This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled Measure and Integration Theory or a com- prehensive one-year course entitled Banach Spaces, Hilbert Spaces, and Spectral Theory. For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on Measure and Integration utilizing Chapters 1 (Sections l. l-1. 3 and 1.6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in Functional Analysis utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap- pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed., Addison-Wesley (1974).

Mídia Livros     Paperback Book   (Livro de capa flexível e brochura)
Lançado 21 de dezembro de 2013
ISBN13 9781468423334
Editoras Springer-Verlag New York Inc.
Páginas 529
Dimensões 155 × 235 × 28 mm   ·   752 g
Idioma Inglês  
Editor Mukherjea, A.
Editor Pothoven, K.

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