000			01810nam a2200229 4500
003			OSt
020			_a9789393330239
040			_cIIT Kanpur
041			_aeng
082			_a515.7 _bT63p
100			_aTorchinsky, Alberto
245			_aProblems in real and functional analysis [Indian edition] _cAlberto Torchinsky
260			_aProvidence, Rhonde Island _bAmerican Mathematical Society
260			_aHyderabad _bUniversity Press _c2015
300			_ax, 467p
440			_aGraduate Studies in Mathematics [GSM]; no. 166
520			_aIt is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader’s guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most “natural” rather than the most elegant solution is presented.
650			_aMathematical analysis
650			_aSet theory
650			_aFunctional analysis
942			_cBK
999			_c565678 _d565678