Categories Pricing Corporate
Free Textbook

Introduction to Probability

Probability Examples c-1

31 Beoordelingen
(31 ratings)
1 home.book.review
61
Language:  English
In this book you find the basic mathematics that is needed by engineers and university students .
Download free PDF textbooks or read online. Less than 15% adverts
Het zakelijk abonnement is gratis voor de eerste 30 dagen, daarna$5.99/maand
Beschrijving
Voorwoord
Inhoud
Beoordelingen

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Topics as Elementary probability calculus, density functions and stochastic processes are illustrated.

This book requires knowledge of Calculus 1 and Calculus 2.

This is the first book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague, Ole Jørsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch. Unfortunately errors cannot be avoided in a first edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Leif Mejlbro
25th October 2009

  1. Introduction
  2. Some theoretical background
  3. Set theory
  4. Sampling with and without replacement
  5. Playing cards
  6. Miscellaneous
  7. Binomial distribution
  8. Lotto
  9. Huyghens’ exercise
  10. Balls in boxes
  11. Conditional probabilities, Bayes’s formula
  12. Stochastic independency/dependency
  13. Probabilities of events by set theory
  14. The rencontre problem and similar examples
  15. Strategy in games
  16. Bertrand’s paradox
  17. Index
Probability in its nature is already fun and challenging, and this book made it more appealing. I enjoyed the strategy in games. :) After reading this, it made me feel I'm ahead of others.
About the Author

Leif Mejlbro

Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the Swedish Academy, Stockholm, and second time at the Copenhagen Telephone Company, now part of the Danish Telecommunication Company, in both places doing research.

At the Technical University of Denmark he has during more than three decades given lectures in such various mathematical subjects as Elementary Calculus, Complex Functions Theory, Functional Analysis, Laplace Transform, Special Functions, Probability Theory and Distribution Theory, as well as some courses where Calculus and various Engineering Sciences were merged into a bigger course, where the lecturers had to cooperate in spite of their different background. He has written textbooks to many of the above courses.

His research in Measure Theory and Complex Functions Theory is too advanced to be of interest for more than just a few specialist, so it is not mentioned here. It must, however, be admitted that the philosophy of Measure Theory has deeply in uenced his thinking also in all the other mathematical topics mentioned above.

After he retired he has been working as a consultant for engineering companies { at the latest for the Femern Belt Consortium, setting up some models for chloride penetration into concrete and giving some easy solution procedures for these models which can be applied straightforward without being an expert in Mathematics. Also, he has written a series of books on some of the topics mentioned above for the publisher Ventus/Bookboon.