02370nam a22002657a 4500999001700000005001700017008004100034020001800075028013700093082001200230100001800242245004700260250001300307260004400320300002200364365000900386505126900395520020401664650001601868650001401884650002701898700001701925942000801942952015401950  c58689d5868920211221001128.0211221b           ||||| |||| 00| 0 eng d  a9781461269380  a;International Book Distributorsb:Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi	c:117108	d:07/12/2021	  a515 LAN  aLang, Serge,   aReal and Functional Analysisc/ Serge Lang  a3rd Ed.   aNew York b: Springer New York, c1993.  a590 pagesc24cm.   b4976  a	Graduate Texts in Mathematics; Real and Functional Analysis Third Edition; Copyright; Foreword; Contents; PART ONE General Topology; CHAPTER I Sets; CHAPTER II Topological Spaces; CHAPTER III Continuous Functions on Compact Sets; PART TWO Banach and Hilbert Spaces; CHAPTER IV Banach Spaces; CHAPTER V Hilbert Space; PART THREE Integration; CHAPTER VI The General Integral; CHAPTER VII Duality and Representation Theorems; CHAPTER VIII Some Applications of Integration; CHAPTER IX Integration and Measures on Locally Compact Spaces; CHAPTER X Riemann-Stieltjes Integral and Measure. CHAPTER XI DistributionsCHAPTER XII Integration on Locally Compact Groups; PART FOUR Calculus; CHAPTER XIII Differential Calculus; CHAPTER XIV Inverse Mappings and Differential Equations; PART FIVE Functional Analysis; CHAPTER XV The Open Mapping Theorem, Factor Spaces, and Duality; CHAPTER XVI The Spectrum; CHAPTER XVII Compact and Fredholm Operators; CHAPTER XVIII Spectral Theorem for Bounded Hermitian Operators; CHAPTER XIX Further Spectral Theorems; CHAPTER XX Spectral Measures; PART SIX Global Analysis; CHAPTER XXI Local Integration of Differential Forms; CHAPTER XXII Manifolds. CHAPTER XXIII Integration and Measures on ManifoldsBibliography; Table of Notation; Index  aThis book is meant as a text for a first-year graduate course in analysis. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters  aMathematics  a Analysis  aMathematical analysis.  aLang, Serge,  cMDL  00102ddc4071aMDLbSNULd2021-12-21eInternational Book Distributorsg4976.00l0o515 LANpM325r2021-12-21 00:00:00w2021-12-21yMDLzFPDA Grant