000 a
999 _c31020
_d31020
008 220608b xxu||||| |||| 00| 0 eng d
020 _a9783030560690
082 _a519.2
_bOKT
100 _aOkten, Giray
245 _aProbability and simulation
260 _bSpringer,
_c2020
_aCham :
300 _ax, 152 p. ;
_bill.,
_c24 cm
365 _b17.99
_cEUR
_d86.00
490 _aSpringer Undergraduate Texts in Mathematics and Technology
504 _aIncludes Bibliographical references and Index.
520 _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.
650 _aProbabilities
650 _aMathematical models
650 _aSimulation
650 _aTheoretical Probabilities
942 _2ddc
_cBK