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Functional analysis [2nd ed.] (Record no. 567315)

000 -LEADER
fixed length control field 01768 a2200241 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250103155921.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250103b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783031091483
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.7
Item number W666f2
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Willem, Michel
245 ## - TITLE STATEMENT
Title Functional analysis [2nd ed.]
Remainder of title fundamentals and applications
Statement of responsibility, etc Michel Willem
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Birkhauser
Year of publication 2022
Place of publication Switzerland
300 ## - PHYSICAL DESCRIPTION
Number of Pages xv, 251p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Cornerstones
490 ## - SERIES STATEMENT
Series statement / edited by Steven G. Krantz
520 ## - SUMMARY, ETC.
Summary, etc This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics.

The second edition of Functional Analysis includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        On Display PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2025-01-06 60 4082.62 515.7 W666f2 A186647 5443.49 Books

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