Monte Carlo Methods Utilizing Mathematica®

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Sprache: Englisch

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Beschreibung

This book provides practical demonstrations of how to carry out definite integrals with Monte Carlo methods using Mathematica. Random variates are sampled by the inverse transform method and the acceptance-rejection method using uniform, linear, Gaussian, and exponential probability distribution functions. A chapter on the application of the Variational Quantum Monte Carlo method to a simple harmonic oscillator is included. These topics are all essential for students of mathematics and physics. The author includes thorough background on each topic covered within the book in order to help readers understand the subject. The book also contains many examples to show how the methods can be applied.

Über den Autor

Sujaul Chowdhury, Ph.D., is a Professor in Department of Physics at Shahjalal University of Science and Technology. He also received his [...]. and [...]. in Physics from Shahjalal University of Science and Technology, before earning his Ph.D. at The University of Glasgow. After completing his Ph.D., Dr. Chowdhury was a Humboldt Research Fellow for one year at The Max Planck Institute. He is the author of many books, including Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel, which is also in the Synthesis Lectures on Mathematics & Statistics series published by SpringerNature. His research interests include nanoelectronics, magnetotransport in semiconductor nanostructures, and nanostructure physics.

Inhaltsverzeichnis

Introduction for Part I.- Evaluation of Definite Integrals Using Inverse Transform Sampling Utilizing Mathematica.- Introduction for Part II.- Evaluation of Definite Integrals Using Acceptance-rejection Sampling Utilizing Matematica.- Variational Monte Carlo Method Applied to Ground State of Simple Harmonic Oscillator Using Acceptance-rejection Sampling Utilizing Mathematica.

Erscheinungsjahr:	2024
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	viii 149 S. 21 s/w Illustr. 25 farbige Illustr. 149 p. 46 illus. 25 illus. in color.
ISBN-13:	9783031232961
ISBN-10:	3031232968
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Chowdhury, Sujaul
Hersteller:	Springer Nature Switzerland Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	240 x 168 x 9 mm
Von/Mit:	Sujaul Chowdhury
Erscheinungsdatum:	26.02.2024
Gewicht:	0,281 kg

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