Giray Ökten: Probability and Simulation

Cover: 9783030560690 | Probability and Simulation | Giray Ökten | Taschenbuch | x | Englisch

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Sprache: Englisch

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Beschreibung

This 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. He is the author of an open access textbook in numerical analysis, First Semester in Numerical Analysis with Julia, published by Florida State University Libraries, and a co-author of a children's math book, The Mathematical Investigations of Dr. O and Arya, published by Tumblehome. His research interests include Monte Carlo methods and computational finance.

Über den Autor

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. He is the author of an open access textbook in numerical analysis, First Semester in Numerical Analysis with Julia, published by Florida State University Libraries, and a co-author of a children's math book, The Mathematical Investigations of Dr. O and Arya, published by Tumblehome. His research interests include Monte Carlo methods and computational finance.

Zusammenfassung

Presents an inquiry-based learning approach

Aims to teach probability through games, data, and simulations

Integrates the Julia programming language in-text to write codes for simulation and data analysis

Includes significant projects at the end of each section for student collaboration and further study

Includes supplementary material: [...]

Inhaltsverzeichnis

Probability.- Discrete Random Variables.- Continuous Random Variables.- Markov Chains.- Brownian Motion.- Benford's Law.- Data for Project 12.- Partial Solutions to Projects.- References.

Details

Erscheinungsjahr:	2020
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Undergraduate Texts in Mathematics and Technology
Inhalt:	x 152 S. 11 s/w Illustr. 39 farbige Illustr. 152 p. 50 illus. 39 illus. in color.
ISBN-13:	9783030560690
ISBN-10:	3030560694
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ökten, Giray
Auflage:	1st edition 2020
Hersteller:	Springer Springer International Publishing AG Springer Undergraduate Texts in Mathematics and Technology
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 9 mm
Von/Mit:	Giray Ökten
Erscheinungsdatum:	16.10.2020
Gewicht:	0,294 kg