LEADER 03115nam 2200541 450 001 996418185303316 005 20220321122648.0 010 $a3-030-56070-8 024 7 $a10.1007/978-3-030-56070-6 035 $a(CKB)4100000011508843 035 $a(DE-He213)978-3-030-56070-6 035 $a(MiAaPQ)EBC6380783 035 $a(MiAaPQ)EBC6647495 035 $a(Au-PeEL)EBL6380783 035 $a(OCoLC)1202752077 035 $a(Au-PeEL)EBL6647495 035 $a(PPN)258304316 035 $a(EXLCZ)994100000011508843 100 $a20220321d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProbability and simulation /$fGiray O?kten 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (X, 152 p. 50 illus., 39 illus. in color.) 225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 311 $a3-030-56069-4 320 $aIncludes bibliographical references and index. 327 $aProbability -- Discrete Random Variables -- Continuous Random Variables -- Markov Chains -- Brownian Motion -- Benford's Law -- Data for Project 12 -- Partial Solutions to Projects -- References. 330 $aThis undergraduate textbook presents an inquiry-based learning course in stochastic models and computing designed to serve as a first course in probability. Its modular structure complements a traditional lecture format, introducing new topics chapter by chapter with accompanying projects for group collaboration. The text addresses probability axioms leading to Bayes? theorem, discrete and continuous random variables, Markov chains, and Brownian motion, as well as applications including randomized algorithms, randomized surveys, Benford?s law, and Monte Carlo methods. Adopting a unique application-driven approach to better study probability in action, the book emphasizes data, simulation, and games to strengthen reader insight and intuition while proving theorems. Additionally, the text incorporates codes and exercises in the Julia programming language to further promote a hands-on focus in modelling. Students should have prior knowledge of single variable calculus. Giray Ökten received his PhD from Claremont Graduate University. He has held academic positions at University of Alaska Fairbanks, Ball State University, and Florida State University. He received a Fulbright U.S. Scholar award in 2015. His research interests include Monte Carlo methods and computational finance. . 410 0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 606 $aProbabilities 606 $aMathematical models 615 0$aProbabilities. 615 0$aMathematical models. 676 $a519.2 700 $aO?kten$b Giray$0845946 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418185303316 996 $aProbability and Simulation$91889147 997 $aUNISA