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Probability Through Problems de Marek Capinski

Probability Through Problems: Problem Books in Mathematics

Autor Marek Capinski, Tomasz Jerzy Zastawniak
en Limba Engleză Hardback – 18 mar 2003
This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.
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Specificații

ISBN-13: 9780387950631
ISBN-10: 038795063X
Pagini: 260
Ilustrații: VIII, 260 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 1.24 kg
Ediția:1st ed. 2001. Corr. 2nd printing 2003
Editura: Springer
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Professional/practitioner

Descriere

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.

Cuprins

* Modelling Random Experiments * Classical Probability Spaces * Fields * Finitely Additive Probability * Sigma Fields * Countably Additive Probability * Conditional Probability and Independence * Random Variables and Their Distributions * Expectation and Variance * Conditional Expectation * Characteristic Functions * Limit Theorems * Bibliography

Recenzii

M. Capinski and T. Zastawniak
Probability Through Problems
"This book of problems has been designed to accompany an undergraduate course in probability. The only prerequisite is basic algebra and calculus. Each chapter is divided into three parts: Problems, Hints, and Solutions. To make the book self-contained all problem sections include expository material. Definitions and statements of important results are interlaced with relevant problems. The problems have been selected to motivate abstract definitions by concrete examples and to lead in manageable steps towards general results, as well as to provide exercises based on the issues and techniques introduced in each chapter. The book is intended as a challenge to involve students as active participants in the course."—ZENTRALBLATT MATH

Caracteristici

Includes supplementary material: sn.pub/extras