A Course in Real Analysis
- 2nd Edition - January 13, 2012
- Latest edition
- Authors: John N. McDonald, Neil A. Weiss
- Language: English
Approx.668… Read more
Approx.668 pages
- New chapter on Hausdorff Measure and Fractals
- Key concepts and learning objectives give students a deeper understanding of the material to enhance learning
- More than 200 examples (not including parts) are used to illustrate definitions and results
- Over 1300 exercises (not including parts) are provided to promote understanding
- Each chapter begins with a brief biography of a famous mathematician
One- or two- semester course in real analysis for upper-level undergraduate and graduate students in mathematics, applied mathematics, computer science, engineering, economics, and physics
1. Set Theory2. The Real Number System and Calculus3. Lebesgue Measure on the Real Line4. The Lebesgue Integral on the Real Line5. Elements of Measure Theory6. Extensions to Measures and Product Measure7. Elements of Probability8. Differentiation and Absolute Continuity9. Signed and Complex Measures10. Topologies, Metrics, and Norms11. Separability and Compactness12. Complete and Compact Spaces13. Hilbert Spaces and Banach Spaces14. Normed Spaces and Locally Convex Spaces15. Elements of Harmonic Analysis16. Measurable Dynamical Systems17. Hausdorff Measure and Fractals
- Edition: 2
- Latest edition
- Published: January 13, 2012
- Language: English
JM
John N. McDonald
Affiliations and expertise
Arizona State University, Tempe, U.S.A.NW
Neil A. Weiss
Neil A. Weiss (deceased) received his Ph.D. from UCLA and subsequently accepted an assistant-professor position at Arizona State University (ASU), where he was ultimately promoted to the rank of full professor. Weiss has taught mathematics, probability, statistics, and operations research from the freshman level to the advanced graduate level.
In recognition of his excellence in teaching, he received the Dean’s Quality Teaching Award from the ASU College of Liberal Arts and Sciences. He has also been runner-up twice for the Charles Wexler Teaching Award in the ASU School of Mathematical and Statistical Sciences. Weiss’s comprehensive knowledge and experience ensures that his texts are mathematically accurate, as well as pedagogically sound.
Weiss has published research papers in both theoretical and applied mathematics, including probability, engineering, operations research, numerical analysis, and psychology. He has also published several teaching-related papers.
In addition to his numerous research publications, Weiss has authored or coauthored books in real analysis, probability, statistics, and finite mathematics. His texts-well known for their precision, readability, and pedagogical excellence-are used worldwide.
Affiliations and expertise
(deceased) - Areas of Expertise: Analysis, Probability, and Statistics.
Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, U.S.A.
Please contact Gerardo Lafferriere at [email protected] for more information.