Miklós Laczkovich: Real Analysis | Buch

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Cover: 9781493973675 | Real Analysis | Miklós Laczkovich (u. a.) | Buch | Englisch | 2017

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Sprache: Englisch

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Beschreibung

This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valós Analízis I & II, based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading.
Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the student¿s intuition throughout, many definitions and results become motivated by insights from their context.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

Functions of Several Variables.- 1. R^p ¿ R functions.- 2. R^p ¿ R^q functions.- 3. The Jordan Measure.- 4. The Integral of Multivariable Functions I.- 5. The Integral of Multivariable Functions II.- 6. Infinite Series.- 7. Sequences and Series of Functions.- 8. Miscellaneous Topics.- 9. Hint, Solutions.- References.- Index.- Notation.

Details

Erscheinungsjahr:	2017
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	404
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	ix 392 S. 44 s/w Illustr. 392 p. 44 illus.
ISBN-13:	9781493973675
ISBN-10:	1493973673
Sprache:	Englisch
Herstellernummer:	978-1-4939-7367-5
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Laczkovich, Miklós T. Sós, Vera
Übersetzung:	Bálint, Gergely
Auflage:	1st ed. 2017
Hersteller:	Springer US Springer New York Undergraduate Texts in Mathematics
Maße:	241 x 160 x 26 mm
Von/Mit:	Miklós Laczkovich (u. a.)
Erscheinungsdatum:	16.12.2017
Gewicht:	0,769 kg

preigu-id: 111064277