Miklós Laczkovich, Vera T. Sós

Real Analysis (eBook, PDF)

Series, Functions of Several Variables, and Applications
Übersetzer: Bálint, Gergely

• Format: PDF

Produktbeschreibung

Corresponds to a second course in real analysis to follow the authors' book Real Analysis: Foundations and Functions of One Variable

Motivates ideas and results in analysis by exploring concepts and applications

Showcases a comprehensive collection of exercises, allowing students to develop proficiency over a broad range of problems

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 392
• Erscheinungstermin: 14. Dezember 2017
• Englisch
• ISBN-13: 9781493973699
• Artikelnr.: 53059172

Autorenporträt

Miklós Laczkovich is a member of the Hungarian Academy of Sciences and professor emeritus at Eötvös Loránd University Budapest and University College London. He was awarded the Ostrowski Prize in 1993 and the Széchenyi Prize in 1998.

Vera T. Sós is a member of the Hungarian Academy of Sciences and professor emeritus at Eötvös Loránd Univesity Budapest and the Alfred Renyi Mathematical Institute of the Hungarian Academy of Sciences. She was awarded the Széchenyi Prize in 1997.

Inhaltsangabe

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.

Rezensionen

"This book develops a thorough treatment of multivariate derivatives, viewing them both as linear transformations and as partial derivatives. ... The book is consistent in addressing the classical analysis of real functions of several variables. This volume will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis." (Teodora-Liliana Radulescu, zbMATH 1407.26001, 2019)

"The explicit intent of the authors is to present material gradually, and to develop precision based on intuition with the help of well-designed examples. The book contains 600 exercises. In my opinion this interesting book represents an alternative viewpoint in real analysis." (Zbigniew Grande, Mathematical Reviews, August, 2018)