Topology, Calculus and Approximation (Paperback, 1st ed. 2017)

Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdos, Fejer, Stieltjes, and Turan. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdos and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Springer Undergraduate Mathematics Series
Release date:	April 2017
First published:	2017
Authors:	Vilmos Komornik
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	382
Edition:	1st ed. 2017
ISBN-13:	978-1-4471-7315-1
Languages:	English
Subtitles:	French
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	1-4471-7315-5
Barcode:	9781447173151

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!