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Book
ISBN: 9783031148699 Year: 2022 Publisher: Cham, Switzerland : Springer,
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Convex geometry. --- Monoids. --- Semigroups --- Geometry --- Geometria convexa --- Monoides --- Semigrups --- Convexitat geomètrica --- Geometria --- Conjunts convexos --- Funcions convexes
Book
ISBN: 303094784X 3030947858 Year: 2022 Publisher: Cham, Switzerland : Springer International Publishing,
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Convex geometry. --- Convex functions --- Functions, Convex --- Functions of real variables --- Geometry --- Geometria convexa --- Funcions convexes --- Funcions de variables complexes --- Funcions còncaves --- Convexitat geomètrica --- Geometria --- Conjunts convexos
Book
ISBN: 3031197380 3031197372 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,
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The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann. The second part provides a more mature return to these topics: a possible axiomatization of set theory, an introduction to general topology with a particular attention to convergence in abstract spaces, a construction of the abstract Lebesgue integral in the spirit of Daniell, and the discussion of differentiation in normed linear spaces. The book can be used for graduate courses in real and abstract analysis and can also be useful as a self-study for students who begin a Ph.D. program in Analysis. The first part of the book may also be suggested as a second reading for undergraduate students with a strong interest in mathematical analysis.
Mathematical analysis. --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Anàlisi matemàtica --- Teoria de conjunts --- Agregats (Matemàtica) --- Classes (Matemàtica) --- Conjunts (Matemàtica) --- Matemàtica --- Àlgebra de Boole --- Aritmètica --- Conjunts analítics --- Conjunts convexos --- Conjunts ordenats --- Espais mètrics --- Forcing (Teoria de models) --- Funcions --- Morfismes (Matemàtica) --- Nombres ordinals --- Teoria axiomàtica de conjunts --- Teoria combinatòria de conjunts --- Teoria dels reticles --- Teoria descriptiva de conjunts --- Topologia --- Lògica matemàtica --- Àlgebra lineal --- Anàlisi combinatòria --- Anàlisi de Fourier --- Anàlisi estocàstica --- Anàlisi matemàtica no-estàndard --- Anàlisi numèrica --- Matemàtica per a enginyers --- Sèries infinites --- Teoria del potencial (Matemàtica) --- Teories no lineals --- Rutes aleatòries (Matemàtica) --- Àlgebra --- Càlcul
Book
ISBN: 9783031053559 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser
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Anàlisi matemàtica --- Teoria de conjunts --- Agregats (Matemàtica) --- Classes (Matemàtica) --- Conjunts (Matemàtica) --- Matemàtica --- Àlgebra de Boole --- Aritmètica --- Conjunts analítics --- Conjunts convexos --- Conjunts ordenats --- Espais mètrics --- Forcing (Teoria de models) --- Funcions --- Morfismes (Matemàtica) --- Nombres ordinals --- Teoria axiomàtica de conjunts --- Teoria combinatòria de conjunts --- Teoria dels reticles --- Teoria descriptiva de conjunts --- Topologia --- Lògica matemàtica --- Àlgebra lineal --- Anàlisi combinatòria --- Anàlisi de Fourier --- Anàlisi estocàstica --- Anàlisi matemàtica no-estàndard --- Anàlisi numèrica --- Matemàtica per a enginyers --- Sèries infinites --- Teoria del potencial (Matemàtica) --- Teories no lineals --- Rutes aleatòries (Matemàtica) --- Àlgebra --- Càlcul --- Set theory. --- Logic, Symbolic and mathematical. --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical
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