Introduction to Probability with Mathematica (Textbooks in Mathematics)

Hastings, Kevin J.

ISBN 10: 1584881097 / ISBN 13: 9781584881094

Verlag: Chapman and Hall/CRC, 2000

Beschreibung

In shrink wrap. Looks like an interesting title!

Bestandsnummer des Verkäufers Q-1584881097

Bibliografische Details

• Titel: Introduction to Probability with Mathematica (Textbooks in Mathematics)
• Verlag: Chapman and Hall/CRC
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 1584881097
• ISBN-13: 9781584881094
• Einband: hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanyingdownloadable resources offer instructors the option of creating class notes, demonstrations, and projects.

New to the Second Edition

• Expanded section on Markov chains that includes a study of absorbing chains



• New sections on order statistics, transformations of multivariate normal random variables, and Brownian motion



• More example data of the normal distribution



• More attention on conditional expectation, which has become significant in financial mathematics



• Additional problems from Actuarial Exam P



• New appendix that gives a basic introduction to Mathematica



• New examples, exercises, and data sets, particularly on the bivariate normal distribution



• New visualization and animation features from Mathematica 7.0



• Updated Mathematica notebooks on the downloadable resources.

After covering topics in discrete probability, the text presents a fairly standard treatment of common discrete distributions. It then transitions to continuous probability and continuous distributions, including normal, bivariate normal, gamma, and chi-square distributions. The author goes on to examine the history of probability, the laws of large numbers, and the central limit theorem. The final chapter explores stochastic processes and applications, ideal for students in operations research and finance.

Reseña del editor

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.