000			01386nam a2200229 4500
005			20250411145402.0
008			250411b |||||||| |||| 00| 0 eng d
020			_a9781470454739
037			_cTextual
040			_aRTL _cRTL
084			_aX:(B) Q4 _qRTL
100			_aHaase, Markus _9459240
245			_aFunctional Analysis: An elementary introduction
260			_aHyderabad _bAmerican Mathematical Society _c2014
300			_axviii, 372 p. _bIncludes bibliography and index
490			_aGraduate studies in mathematics ; 156
520			_aThis book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts.
650			_aMathematics
650			_aFunctional analysis - Textbooks _9752192
650			_aDifferential equations, Partial - Textbooks _9752193
942			_2CC _n0 _cTB _hX:(B) Q4
999			_c1308887 _d1308887