PDF Ebook Probability Through Problems (Problem Books in Mathematics), by Marek Capinski, Tomasz Jerzy Zastawniak
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Probability Through Problems (Problem Books in Mathematics), by Marek Capinski, Tomasz Jerzy Zastawniak
PDF Ebook Probability Through Problems (Problem Books in Mathematics), by Marek Capinski, Tomasz Jerzy Zastawniak
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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.
- Sales Rank: #706371 in Books
- Published on: 2003-03-18
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .63" w x 6.14" l, 1.23 pounds
- Binding: Hardcover
- 260 pages
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
Most helpful customer reviews
9 of 10 people found the following review helpful.
Refreshing and unique
By Trevor Burnham
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
1 of 3 people found the following review helpful.
buy it
By jose
Excellent book.
26 of 31 people found the following review helpful.
This one will be a classic
By B. Etin
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.
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