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This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail. Numerous worked examples necessary for teaching and learning at undergraduate level constitute a strong feature of the book, and after studying statements of results of the theorems, students should be able to attempt the 300 problem exercises whi
Measure theory --- Integrals, Generalized --- Mesure, Théorie de la --- Intégrales généralisées --- Measure theory. --- Integrals, Generalized. --- Calculus, Integral --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Measure algebras --- Rings (Algebra)
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Spectral Theory of Random Matrices
Calculus, Integral. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Integral calculus --- Differential equations --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra)
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Measure theory. Mathematical integration --- Mesure, Théorie de la --- Calcul intégral --- Fonctions vectorielles. --- Vector valued functions --- Calculus, Integral --- Measure theory --- Integrals, Bochner. --- Integrals, Bochner --- Bochner integrals --- Banach spaces --- Convergence --- Integrals, Generalized --- 517.518.1 --- 517.518.1 Measure. Integration. Differentiation --- Measure. Integration. Differentiation
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Unified integration
Integrals. --- Mathematics. --- Math --- Science --- Calculus, Integral --- Integrals --- 517.518.1 --- 517.518.1 Measure. Integration. Differentiation --- Measure. Integration. Differentiation --- Intégrales --- Intégrales --- Integralen. --- Calcul intégral --- Fonctions de plusieurs variables réelles --- Calcul intégral --- Fonctions de plusieurs variables réelles --- Mesure et integration
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Measure and integration theory on infinite-dimensional spaces
Generalized spaces. --- Integrals. --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Calculus, Integral --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Calculus of tensors --- Geometry, Differential --- Geometry, Non-Euclidean --- Hyperspace --- Relativity (Physics) --- Measure theory --- Mesure, Théorie de la --- Calcul intégral
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