Introduction to Probability with Mathematica - Kevin J. Hastings

Introduction to Probability with Mathematica

Buch | Hardcover
400 Seiten
2000
Crc Press Inc (Verlag)
978-1-58488-109-4 (ISBN)
89,75 inkl. MwSt
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Uses a powerful computer algebra system as a pedagogical tool for learning and using probability. This work integrates the technology with the traditional approach and subject matter, thereby augmenting rather than overpowering it. It makes use of simulation to illustrate concepts and motivate important theorems in probability theory.
Newcomers to the world of probability face several potential stumbling blocks. They often struggle with key concepts-sample space, random variable, distribution, and expectation; they must regularly confront integration, infrequently mastered in calculus classes; and they must labor over lengthy, cumbersome calculations.

Introduction to Probability with Mathematica is a groundbreaking text that uses a powerful computer algebra system as a pedagogical tool for learning and using probability. Its clever use of simulation to illustrate concepts and motivate important theorems gives it an important and unique place in the library of probability theory. The author smoothly integrates the technology with the traditional approach and subject matter, thereby augmenting rather than overpowering it.

This book lives and breathes in the sense that not only can it be read and studied in an armchair, but each section also exists as a fully executable Mathematica® notebook on the CRC Web site. Students will find Introduction to Probability with Mathematica an engaging, accessible, yet challenging way to venture into the fascinating subject of probability.

DISCRETE PROBABILITY
The Cast of Characters
Properties of Probability
Simulation
Random Sampling
Conditional Probability
Independence

DISCRETE DISTRIBUTIONS
Discrete Random Variables, Distributions, and Expectations
Bernoulli and Binomial Random Variables
Geometric and negative Binomial Random Variables
Poisson Distribution
Joint, Marginal, and Conditional Distributions
More on Expectation

CONTINUOUS PROBABILITY
From the Finite to the (Very) Infinite
Continuous Random Variables and Distributions
Continuous Expectation

CONTINUOUS DISTRIBUTIONS
The Normal Distribution
Bivariate Normal Distribution
New Random Variable from Old
Gamma Distributions
Chi-Square, Student's t, and F-Distributions

ASYMPTOTIC THEORY
Strong and Weak Laws of Large Numbers
Central limit Theorem

APPLICATIONS OF PROBABILITY
Markov Chains
Queues
Mathematical Finance

APPENDIX
Short Answers to Selected Exercises
Glossary of Mathematica Commands for Probability

Erscheint lt. Verlag 27.11.2000
Reihe/Serie Textbooks in Mathematics
Zusatzinfo 150 equations; 18 Tables, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 156 x 235 mm
Gewicht 658 g
Themenwelt Informatik Grafik / Design Digitale Bildverarbeitung
Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-58488-109-7 / 1584881097
ISBN-13 978-1-58488-109-4 / 9781584881094
Zustand Neuware
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