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Mathematics and Statistics

Probability Theory and Examples

Probability Theory and Examples

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Presenting a clear, comprehensive and systematic account of various probability theories and to explain how they relate to one another. This text is written for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. Well known for the clear, inductive nature of its exposition, this book is an excellent introduction to mathematical probability theory with examples. 

Probability is often a source of difficulty and anguish for students at both high school and undergraduate levels, because they don’t know its importance and worth.

The foundation of probability was laid down by two French mathematicians of the seventeenth century Blaise Pascal and Pierre De Fermat in connection with gambling problems. Later on it was developed by Jakob Bernoulli, Abraham De Mover, and Pierre Simon Laplace (1706-1749). The modern concept of probability theory which consists of stating few axioms and rules resulting from these axioms, was developed during the twenties and thirties of this century.

Probability theory has a wider pasture of application and is used to make sharp decisions in mathematics, management, operational research, sociology, astronomy, engineering, gambling, card games, psychology, physics and genetics where risk and ambiguity are involved.

Perhaps by providing a concise insight into where these concepts came from, how they were revealed, and how their uses in the past relate to how they are presently used and taught may offer students with the extra understanding they need to put these concepts to use, whether as measuring procedures or as functions. With this better insight, one would be able to see the value in studying Probability instead of an isolated unit from the subject. This book aims to help the readers understand the amazing world of Probability, to enlighten them on how this subject have significance in real world problems.

Claire Montemar

Claire Montemar

Claire Montemar is a licensed Chemical Engineer with a real passion for teaching, learning and taking care of the environment. She obtained her degree from the University of the Philippines in 1999. She has worked in the manufacturing industry for a few years but spent most of her career as an academic tutor/instructor for elementary, high school and college students. Her forte is in the areas of mathematics and science, particularly algebra and chemistry. She currently works as a full-time freelancer, predominantly serving the needs of clients in the education industry.