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On Wednesday, March 25, 2015
Probability- An Introduction, 2 edition
"Probabilitas - Perkenalan. Edisi ke 2"
- Directed at first and second year undergraduates
- A concise introduction to probability
- An honest approach to mathematical rigour
- Careful choice of material, from probability to stochastic processes
- Enhanced by exercises and problems
New to this edition
- New chapter on Markov chains
- Has been developed in response to the evolution of course syllabuses
- Further examples, exercises, and problems including problems from the Oxford and Cambridge finals papers
A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is enriched by simple exercises, together with problems (with very brief hints) many of which are taken from final examinations at Cambridge and Oxford.
The first eight chapters form a course in basic probability, being an account of events, random variables, and distributions - discrete and continuous random variables are treated separately - together with simple versions of the law of large numbers and the central limit theorem. There is an account of moment generating functions and their applications. The following three chapters are about branching processes, random walks, and continuous-time random processes such as the Poisson process. The final chapter is a fairly extensive account of Markov chains in discrete time.
This second edition develops the success of the first edition through an updated presentation, the extensive new chapter on Markov chains, and a number of new sections to ensure comprehensive coverage of the syllabi at major universities.
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