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Cover: 9781441925220 | 40 Puzzles and Problems in Probability and Mathematical Statistics
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40 Puzzles and Problems in Probability and Mathematical Statistics
Taschenbuch von Wolf Schwarz
Sprache: Englisch

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Beschreibung
As a student I discovered in our library a thin booklet by Frederick Mosteller entitled50 Challenging Problems in Probability. Itreferredtoas- plementary ¿regular textbook¿ by William Feller, An Introduction to Pro- bilityTheoryanditsApplications.SoItookthisonealong,too,andstartedon the ?rst of Mosteller¿s problems on the train riding home. From that evening, I caught on to probability. These two books were not primarily about abstract formalisms but rather about basic modeling ideas and about ways ¿ often extremely elegant ones ¿ to apply those notions to a surprising variety of empirical phenomena. Essentially, these books taught the reader the skill to ¿think probabilistically¿ and to apply simple probability models to real-world problems. The present book is in this tradition; it is based on the view that those cognitive skills are best acquired by solving challenging, nonstandard pro- bility problems. My own experience, both in learning and in teaching, is that challenging problems often help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts.
As a student I discovered in our library a thin booklet by Frederick Mosteller entitled50 Challenging Problems in Probability. Itreferredtoas- plementary ¿regular textbook¿ by William Feller, An Introduction to Pro- bilityTheoryanditsApplications.SoItookthisonealong,too,andstartedon the ?rst of Mosteller¿s problems on the train riding home. From that evening, I caught on to probability. These two books were not primarily about abstract formalisms but rather about basic modeling ideas and about ways ¿ often extremely elegant ones ¿ to apply those notions to a surprising variety of empirical phenomena. Essentially, these books taught the reader the skill to ¿think probabilistically¿ and to apply simple probability models to real-world problems. The present book is in this tradition; it is based on the view that those cognitive skills are best acquired by solving challenging, nonstandard pro- bility problems. My own experience, both in learning and in teaching, is that challenging problems often help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts.
Zusammenfassung
The present book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are of course long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book contains far more problems of a statistical nature than the competition. It will become a handy resource for professors looking for problems to assign for a course, and will be of interest to undergraduate math students, as well as a more general audience of amateur scientists.
Inhaltsverzeichnis
Problems.- Hints.- Solutions.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Problem Books in Mathematics
Inhalt: xii
124 S.
29 s/w Illustr.
124 p. 29 illus.
ISBN-13: 9781441925220
ISBN-10: 1441925228
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schwarz, Wolf
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer New York
Springer US, New York, N.Y.
Problem Books in Mathematics
Maße: 235 x 155 x 8 mm
Von/Mit: Wolf Schwarz
Erscheinungsdatum: 23.11.2010
Gewicht: 0,224 kg
Artikel-ID: 107207944
Zusammenfassung
The present book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are of course long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book contains far more problems of a statistical nature than the competition. It will become a handy resource for professors looking for problems to assign for a course, and will be of interest to undergraduate math students, as well as a more general audience of amateur scientists.
Inhaltsverzeichnis
Problems.- Hints.- Solutions.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Problem Books in Mathematics
Inhalt: xii
124 S.
29 s/w Illustr.
124 p. 29 illus.
ISBN-13: 9781441925220
ISBN-10: 1441925228
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schwarz, Wolf
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer New York
Springer US, New York, N.Y.
Problem Books in Mathematics
Maße: 235 x 155 x 8 mm
Von/Mit: Wolf Schwarz
Erscheinungsdatum: 23.11.2010
Gewicht: 0,224 kg
Artikel-ID: 107207944
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