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Topology, Calculus and Approximation

Af: Vilmos Komornik Engelsk Paperback

Topology, Calculus and Approximation

Af: Vilmos Komornik Engelsk Paperback
Tjek vores konkurrenters priser
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, Erdős, Fejér, Stieltjes, and Turán.

The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős 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 Carathéodory''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.
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Tjek vores konkurrenters priser
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, Erdős, Fejér, Stieltjes, and Turán.

The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős 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 Carathéodory''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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 382
ISBN-13: 9781447173151
Indbinding: Paperback
Udgave:
ISBN-10: 1447173155
Kategori: Differentialregning & ligninger
Udg. Dato: 10 apr 2017
Længde: 25mm
Bredde: 239mm
Højde: 157mm
Forlag: Springer London Ltd
Oplagsdato: 10 apr 2017
Forfatter(e): Vilmos Komornik
Forfatter(e) Vilmos Komornik

Kategori Differentialregning & ligninger

ISBN-13 9781447173151

Sprog Engelsk

Indbinding Paperback

Sider 382

Udgave

Længde 25mm

Bredde 239mm

Højde 157mm

Udg. Dato 10 apr 2017

Oplagsdato 10 apr 2017

Forlag Springer London Ltd