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This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Mathematics. --- Measure and Integration. --- Functional Analysis. --- Probability Theory and Stochastic Processes. --- Quantitative Finance. --- Mathematical Applications in the Physical Sciences. --- Mathematical Methods in Physics. --- Functional analysis. --- Finance. --- Distribution (Probability theory). --- Mathematical physics. --- Mathématiques --- Analyse fonctionnelle --- Finances --- Distribution (Théorie des probabilités) --- Physique mathématique --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Measure theory. --- Economics, Mathematical. --- Probabilities. --- Physics. --- Distribution (Probability theory. --- Physical mathematics --- Physics --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Math --- Science --- Funding --- Funds --- Economics --- Currency question --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Economics, Mathematical . --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Mathematical economics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Methodology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Finance --- Economics --- Functional analysis --- Operational research. Game theory --- Probability theory --- Mathematics --- Measuring methods in physics --- Mathematical physics --- Physics --- kennis --- differentiaalvergelijkingen --- waarschijnlijkheidstheorie --- stochastische analyse --- functies (wiskunde) --- meettechniek --- financiën --- wiskunde --- fysica --- kansrekening