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This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.

Functional analysis. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations

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This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included. In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type. The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.

Functional analysis --- functies (wiskunde)

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The book mainly deals with basic concepts and examples about integral calculus such as indefinite integral, definite integral, improper integrals, integrals dependent on parameters, lines integrals, double and triple integrals, and surface integrals. These basic elements of integral calculus are well presented in this book, and they are indispensable for students in higher technical education to successfully approach other theoretical or technical disciplines.

Mathematics --- Applied physical engineering --- economie --- wiskunde

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Matemàtica per a enginyers --- Càlcul diferencial --- Càlcul --- Càlcul integral --- Anàlisi matemàtica --- Matemàtica en l'electrònica --- Mecànica aplicada --- Anàlisi dimensional --- Differential calculus. --- Calculus, Differential --- Calculus

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Geophysics --- Archeology --- temperature-related techniques --- archaeology --- dendrochronology --- radiocarbon dating --- thermoluminescence dating --- magnetism