Real Analysis | Series, Functions of Several Variables, and Applications
Lingua: inglese
Editore: Humana, 2018
Serie: Libro 149 di 170 - Undergraduate Texts in Mathematics
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Real Analysis | Series, Functions of Several Variables, and Applications | Miklós Laczkovich (u. a.) | Taschenbuch | ix | Englisch | 2018 | Humana | EAN 9781493984640 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Codice articolo 115102585
- Titolo
- Real Analysis | Series, Functions of Several Variables, and Applications
- Autore
- Miklós Laczkovich (u. a.)
- Editore
- Humana
- Anno di pubblicazione
- 2018
- Condizione
- Neu
- Rilegatura
- Taschenbuch
- Lingua
- inglese
- ISBN 10
- 1493984640
- ISBN 13
- 9781493984640
- Peso dell'articolo
- 610 grammi
- Dimensioni
- 235 x 155 x 22 mm
- Serie
- Libro 149 di 170: Undergraduate Texts in Mathematics
- Cataloghi dei venditori
- Bücher
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 students intuition throughout, many definitions and results become motivated by insights from their context.
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Informazioni sull’autore
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.
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