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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Probability Through Problems ([EBook] /) / by Marek Capiński, Tomasz Zastawniak.
Author
Capiński, Marek
Added Personal Name
Zastawniak, Tomasz
author.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 2001.
Physical Details
VIII, 260 p. : online resource.
Series
Problem books in mathematics
0941-3502
ISBN
9780387216591
Summary Note
This book of problems has been designed to accompany an undergraduate course in probability. It will also be useful for students with interest in probability who wish to study on their own. The only prerequisite is basic algebra and calculus. This includes some elementary experience in set theory, sequences and series, functions of one variable, and their derivatives. Familiarity with integrals would be a bonus. A brief survey of terminology and notation in set theory and calculus is provided. Each chapter is divided into three parts: Problems, Hints, and Solutions. To make the book reasonably self-contained, all problem sections include expository material. Definitions and statements of important results are interlaced with relevant problems. The latter have been selected to motivate abstract definitions by concrete examples and to lead in manageable steps toward general results, as well as to provide exercises based on the issues and techniques introduced in each chapter. The hint sections are an important part of the book, designed to guide the reader in an informal manner. This makes Probability Through Prob lems particularly useful for self-study and can also be of help in tutorials. Those who seek mathematical precision will find it in the worked solutions provided. However, students are strongly advised to consult the hints prior to looking at the solutions, and, first of all, to try to solve each problem on their own.:
Contents note
Terminology and Notation -- 1 Modeling Random Experiments -- 2 Classical Probability Spaces -- 3 Fields -- 4 Finitely Additive Probability -- 5 Sigma Fields -- 6 Countably Additive Probability -- 7 Conditional Probability and Independence -- 8 Random Variables and Their Distributions -- 9 Expectation and Variance -- 10 Conditional Expectation -- 11 Characteristic Functions -- 12 Limit Theorems.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-387-21659-1
Links to Related Works
Subject References:
Mathematics
.
Probabilities
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Probability theory and stochastic processes
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Authors:
Capiński, Marek
.
Zastawniak, Tomasz
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
519.2
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