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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Real and Functional Analysis (Paperback, Softcover reprint of the original 1st ed. 1978)
Loot Price: R1,594
Discovery Miles 15 940
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Real and Functional Analysis (Paperback, Softcover reprint of the original 1st ed. 1978)
Series: Mathematical Concepts and Methods in Science and Engineering
Expected to ship within 10 - 15 working days
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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 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)."
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