Ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of their counterexamples. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis, which makes it unique among treatments of counterexamples. The authors maintain that, in fact, if taught correctly, probability theory cannot be separated from real analysis.
Rezensionen / Stimmen
an interesting and informative book ... The book is self-contained and the material is presented with great clarity. The reader will find that it is stimulating and thought provoking ... Highly recommended for college and university libraries with graduate programs in mathematical sciences. * D.V. Chopra, Wichita State University, Choice, Jul/Aug '94 *
Sprache
Verlagsort
Zielgruppe
Maße
Höhe: 243 mm
Breite: 163 mm
Dicke: 21 mm
Gewicht
ISBN-13
978-0-19-507068-2 (9780195070682)
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Schweitzer Klassifikation
Autor*in
Professor of Electrical Engineering and MathematicsProfessor of Electrical Engineering and Mathematics, University of Texas at Austin
Assistant Professor, Department of Electrical EngineeringAssistant Professor, Department of Electrical Engineering, Southern Methodist University
1: The Real Line
2: Real Valued Functions
3: Differentiation
4: Measures
5: Integration
6: Product Spaces
7: Basic Probability
8: Conditioning
9: Convergence in Probability
10: Applications of Probability