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Probability Through Problems

  • Book
  • © 2001

Overview

Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (13 chapters)

Keywords

About this book

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.

Reviews

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

Authors and Affiliations

  • Nowy Sacz School of Business-NLU, Nowy Sącz, Poland

    Marek Capiński

  • Department of Mathematics, University of Hull, Kingston upon Hull, England

    Tomasz Zastawniak

Bibliographic Information

  • Book Title: Probability Through Problems

  • Authors: Marek Capiński, Tomasz Zastawniak

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-0-387-21659-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-387-95063-1Published: 07 December 2000

  • Softcover ISBN: 978-1-4757-6291-4Published: 08 June 2013

  • eBook ISBN: 978-0-387-21659-1Published: 29 June 2013

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: VIII, 260

  • Topics: Probability Theory and Stochastic Processes

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