Real Analysis

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

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 Includes supplementary material: sn.pub/extras

Autorentext

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.

Inhalt
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.