Lang, Serge creator Lang, Serge text New York : Springer New York 1993 3rd Ed. monographic eng

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590 pages 24cm. This 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 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 / Serge Lang Mathematics Analysis Mathematical analysis 515 LAN 9781461269380 ;International Book Distributors :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi 211221 20211221001128.0