000			02119nam a2200265 4500
001			18650704
010			_a 2015022653
020			_a9789393330239
082	0	0	_a515.7 _bTOR/P
100	1		_aTorchinsky, Alberto
245	1	0	_aProblems in real and functional analysis
260			_aRhode Island _bAmerican mathematical society _c2022
300			_ax, 467 p.
490	0		_aGraduate studies in mathematics ;
500			_aIncludes index.
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		0	_aMathematical analysis
650		0	_aFunctional analysis
650		0	_aSet theory
650		7	_aReal functions -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aMeasure and integration -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aFunctional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aOperator theory -- Instructional exposition (textbooks, tutorial papers, etc.).
942			_cBK
999			_c67016 _d67016