000 01754nam a22002657a 4500
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020 _a978-0-8218-4215-7
040 _aICTS-TIFR
050 _aQA273.K488
100 _aDavar Khoshnevisan
245 _a Probability
250 _aIndian edition
260 _aRhode Island:
_bAmerican Mathematical Society,
_c[c2007]
300 _a224 p.
490 _aGraduate studies in mathematics
_vVolume 80
505 _a1. Classical probability; 2. Bernoulli trials; 3. Measure theory; 4. Integration; 5. Product spaces; 6. Independence; 7. The central limit theorem; 8. Martingales; 9. Brownian motion; 10. Terminus : stochastic integration
520 _aThis is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various applications. As a result, a few of the familiar topics are replaced by interesting non-standard ones. The topics range from undergraduate probability and classical limit theorems to Brownian motion and elements of stochastic calculus. Throughout, the reader will find many exciting applications of probability theory and probabilistic reasoning. There are numerous exercises, ranging from the routine to the very difficult. Each chapter concludes with historical notes. --- summary provided by publishers
650 _aLehrbuch
650 _aProbability
650 _aMathematics
856 _uhttp://www.ams.org/books/gsm/080/
942 _2lcc
_cBK
999 _c3227
_d3227