Real Analysis

Foundations and Functions of One Variable

AvMiklós Laczkovich,Vera T. Sós

Inbunden, Engelska, 2015

Del i serien Undergraduate Texts in Mathematics

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Beskrivning

Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition.

Produktinformation

Utgivningsdatum:2015-10-09
Mått:155 x 235 x 25 mm
Vikt:960 g
Format:Inbunden
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:483
Förlag:Springer-Verlag New York Inc.
ISBN:9781493927654

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Miklós Laczkovich is Professor of Mathematics at Eötvös Loránd University and the University College London, and was awarded the Ostrowski Prize in 1993 and the Széchenyi Prize in 1998. Vera T. Sós is a Research Fellow at the Alfréd Rényi Institute of Mathematics, and was awarded the Széchenyi Prize in 1997.

Recensioner i media

“This book is written to be accessible to the competent university student. … The book is consistent in addressing the classical analysis of real functions of one real variable, and it can serve as an introduction to monographs of complex functions, functional analysis and differential equations, upon which it touches occasionally. It can also serve as an introduction to Lebesgue integration or to generalized functions, which are not mentioned.” (Luis Manuel Braga de Costa Campos, Mathematical Reviews, December, 2016)

Innehållsförteckning

A Short Historical Introduction.- Basic Concepts.- Real Numbers.- Infinite Sequences I.- Infinite Sequences II.- Infinite Sequences III.- Rudiments of Infinite Series.- Countable Sets.- Real Valued Functions of One Variable.- Continuity and Limits of Functions.- Various Important Classes of Functions (Elementary Functions).- Differentiation.- Applications of Differentiation.- The Definite Integral.- Integration.- Applications of Integration.- Functions of Bounded Variation.- The Stieltjes Integral.- The Improper Integral.