Real Analysis
Springer-Verlag New York Inc.
978-1-4939-7367-5 (ISBN)
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.
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.
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.
Erscheinungsdatum | 02.03.2018 |
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Reihe/Serie | Undergraduate Texts in Mathematics |
Übersetzer | Gergely Balint |
Zusatzinfo | 44 Illustrations, black and white; IX, 392 p. 44 illus. |
Verlagsort | New York |
Sprache | englisch |
Original-Titel | Analízis II |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Continuity of functions • History of Fourier series • History of infinite series • Limit of functions • Multivariable real analysis • Multivariable real analysis textbook adoption • Real analysis |
ISBN-10 | 1-4939-7367-3 / 1493973673 |
ISBN-13 | 978-1-4939-7367-5 / 9781493973675 |
Zustand | Neuware |
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