Mathematical Analysis, Second Edition
logical interdependence of the chapters 1 the real and com-plex number systems 2 some basic notions of set theory 3 elements of point set topology i 4 limits and
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Complements and Problems Eigenvalues and Reduction of Matrices 1c.l Classification and Transformation of Quadratic Forms, Ic.2 Roots of Determinantal Eqmtions, 112.3 Canonical Reduction of Matrices, Ic.4 Projection Operator, lc.5 Further Results on g-Inverse, Ic.6 Restricted Eigenvalue Problem Convex Sets in Vector Spaces
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7 Problems 46 Chapter 2. Integration Theory 49 1 The Lebesgue integral: basic properties and convergence theorems 49 2 The space L1 of integrable functions 68 3 Fubini’s theorem 75 3.1 Statement and proof of the theorem 75 3.2 Applications of Fubini’s theorem 80 4* A Fourier inversion formula 86 5 Exercises 89 6 Problems 95 Chapter 3.