Monte Carlo Methods Utilizing Mathematica(r): Applications in Inverse Transform and Acceptance-Rejection Sampling

Chowdhury, Sujaul

Monte Carlo Methods Utilizing Mathematica(r): Applications in Inverse Transform and Acceptance-Rejection Sampling
  • 出版商: Springer
  • 出版日期: 2024-02-26
  • 售價: $1,840
  • 貴賓價: 9.5 折 $1,748
  • 語言: 英文
  • 頁數: 149
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031232968
  • ISBN-13: 9783031232961

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

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.

商品描述(中文翻譯)

本書提供了如何使用 Mathematica 透過蒙地卡羅方法進行定積分的實用示範。隨機變數是通過反轉變換法和接受-拒絕法，使用均勻、線性、高斯和指數概率分佈函數進行抽樣的。本書還包含了一章關於變分量子蒙地卡羅方法應用於簡諧振子的內容。這些主題對於數學和物理的學生來說都是必不可少的。作者對書中涵蓋的每個主題提供了詳細的背景知識，以幫助讀者理解該主題。本書還包含許多範例，以展示這些方法的應用。

作者簡介

Sujaul Chowdhury, Ph.D., is a Professor in Department of Physics at Shahjalal University of Science and Technology. He also received his B.Sc. and M.Sc. 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.

作者簡介(中文翻譯)

Sujaul Chowdhury, Ph.D.，是沙賈拉大學物理系的教授。他在沙賈拉大學獲得了物理學的學士和碩士學位，之後在格拉斯哥大學獲得博士學位。完成博士學位後，Chowdhury 博士在馬克斯·普朗克研究所擔任了一年的洪堡研究員。他是多本書籍的作者，包括《Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel》，該書也收錄於SpringerNature出版的數學與統計綜合講座系列中。他的研究興趣包括奈米電子學、半導體奈米結構中的磁輸運以及奈米結構物理學。

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