Probability Through Problems [Hardcover]

Marek Capinski (Author), Tomasz Jerzy Zastawniak (Author)

Book Description

Publication Date: December 7, 2000 | ISBN-10: 038795063X | ISBN-13: 978-0387950631 | Edition: Corrected

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.

Editorial Reviews

Review

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

Product Details

• Hardcover: 272 pages
• Publisher: Springer; Corrected edition (December 7, 2000)
• Language: English
• ISBN-10: 038795063X
• ISBN-13: 978-0387950631
• Product Dimensions: 9.3 x 6.4 x 0.9 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #501,801 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

25 of 29 people found the following review helpful:

5.0 out of 5 stars This one will be a classic, May 13, 2001

By 

B. Etin "algorithmic" (USA) - See all my reviews
(REAL NAME)   

This review is from: Probability Through Problems (Hardcover)

Doing problems is the best way to study mathematics. The question to most authors is that: How to select problems that are nice to the students. This book did quite well. As I see, the authors gave the exact right pace to offer the students an exicting course, and give the students a thorough understanding.

If you want to master this subject in a month, or even in a shorter time, this book may be the right choice.

7 of 7 people found the following review helpful:

5.0 out of 5 stars Refreshing and unique, March 10, 2009

By 

Trevor Burnham (Cambridge, MA) - See all my reviews
(VINE VOICE)    (REAL NAME)   

Amazon Verified Purchase

This review is from: Probability Through Problems (Hardcover)

This book uses a format I've never seen in a math textbook before: Each chapter consists of a couple of paragraphs to define a new concept, followed by several dozen problems to explore the concept in depth. The problems are followed by hints, and then solutions. This fresh approach teaches otherwise dry subject matter in an unusually lively (and memorable) way.

Note that this book teaches probability in a mathematically rigorous way, possibly too rigorous for a first course in probability. You'll have to work your way through several chapters of abstruse concepts (e.g. sigma fields) before you see any of the more fun, applied probability problems. A basic understanding of set theory and analysis are prerequisite.

The chapters are:

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. Expectations and Variance
10. Conditional Expectation
11. Characteristic Functions
12. Limit Theorems