初级系列,适合本科
Fundamental Probability: A Computational Approach (Hardcover)~
Marc Paolella (Author)
Amazon link
http://www.amazon.com/Fundamental-Probability-Computational-Marc-Paolella/dp/0470025948/ref=sr_1_2?ie=UTF8&s=books&qid=1259889430&sr=8-2
Editorial Reviews Review "The collection is sure to be a set of remarkable references for students and teachers alike." (
The American Statistician, May 2008) "Very enjoyable and instructive reading." (
CHOICE, November 2006)
"...a very good book which might, I hope, be standard for introductory courses in probability theory during next years." (
Zentralbatt MATH, 11th March 2007)
Product Description Probabilityis a vital measure in numerous disciplines, from bioinformatics andeconometrics to finance/insurance and computer science. Developed froma successful course,
Fundamental Probability provides anengaging and hands-on introduction to this important topic. Whilst thetheory is explored in detail, this book also emphasises practicalapplications, with the presentation of a large variety of examples andexercises, along with generous use of computational tools. Basedon international teaching experience with students of statistics,mathematics, finance and econometrics, the book:
- Presents new, innovative material alongside the classic theory.
- Goesbeyond standard presentations by carefully introducing and discussingmore complex subject matter, including a richer use of combinatorics,runs and occupancy distributions, various multivariate samplingschemes, fat-tailed distributions, and several basic concepts used infinance.
- Emphasises computational matters and programming methods via generous use of examples in MATLAB.
- Includesa large, self-contained Calculus/Analysis appendix with derivations ofall required tools, such as Leibniz’ rule, exchange of derivative andintegral, Fubini’s theorem, and univariate and multivariate Taylorseries.
- Presents over 150 end-of-chapter exercises, graded interms of their difficulty, and accompanied by a full set of solutionsonline.
This book is intended as an introduction tothe theory of probability for students in biology, mathematics,statistics, economics, engineering, finance, and computer science whopossess the prerequisite knowledge of basic calculus and linearalgebra.