000			01768 a2200241 4500
003			OSt
005			20250103155921.0
008			250103b xxu||||| |||| 00| 0 eng d
020			_a9783031091483
040			_cIIT Kanpur
041			_aeng
082			_a515.7 _bW666f2
100			_aWillem, Michel
245			_aFunctional analysis [2nd ed.] _bfundamentals and applications _cMichel Willem
250			_a2nd ed.
260			_bBirkhauser _c2022 _aSwitzerland
300			_axv, 251p
440			_aCornerstones
490			_a/ edited by Steven G. Krantz
520			_aThis 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			_aMathematics
942			_cBK
999			_c567315 _d567315