Real Analysis - Laczkovich Miklós; T. Sós Vera | Libro Springer 08/2018 -

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laczkovich miklós; t. sós vera - real analysis

Real Analysis Series, Functions of Several Variables, and Applications


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Lingua: Inglese


Pubblicazione: 08/2018
Edizione: Softcover reprint of the original 1st ed. 2017


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.


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.


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.

Altre Informazioni



Condizione: Nuovo
Collana: Undergraduate Texts in Mathematics
Dimensioni: 235 x 155 mm Ø 617 gr
Formato: Brossura
Illustration Notes:44 Illustrations, black and white
Pagine Arabe: 392
Pagine Romane: ix
Traduttore: Bálint, Gergely

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