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Book
Topics in Uniform Approximation of Continuous Functions
Authors: ---
ISBN: 3030484122 3030484114 Year: 2020 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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Abstract

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.


Book
Topics in Uniform Approximation of Continuous Functions
Authors: --- ---
ISBN: 9783030484125 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser

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Multi
Topics in Uniform Approximation of Continuous Functions
Authors: --- ---
ISBN: 9783030484125 Year: 2020 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser

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Abstract

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.


Digital
Integral Calculus for Engineers
Authors: --- ---
ISBN: 9789811947933 9789811947926 9789811947940 Year: 2022 Publisher: Singapore Springer Nature

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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.


Book
Differential Calculus for Engineers
Authors: --- --- ---
ISBN: 9789811925535 Year: 2022 Publisher: Singapore Springer Nature Singapore :Imprint: Springer


Multi
Differential Calculus for Engineers
Authors: --- --- ---
ISBN: 9789811925535 9789811925528 9789811925542 Year: 2022 Publisher: Singapore Springer Nature Singapore :Imprint: Springer

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This book gives many helps for students of technical colleges who have had usual mathematical training. The material presented in this book exceeds the content of the spoken lessons, and so, it is also useful for other engineering specialities and even for students in mathematics. The authors present in a small number of pages the basic notions and results of differential calculus concerning to: sequences and series of numbers, sequences and series of functions, power series, elements of topology in n-dimensional space, limits of functions, continuous functions, partial derivatives of functions of several variables, Taylor's formula, extrema of a function of several variables (free or with constrains), change of variables, dependent functions.

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