Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel
暫譯: 蒙地卡羅方法:使用 Excel 的實作計算入門

Chowdhury, Sujaul

  • 出版商: Morgan & Claypool
  • 出版日期: 2021-02-24
  • 售價: $1,760
  • 貴賓價: 9.5$1,672
  • 語言: 英文
  • 頁數: 133
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1636390714
  • ISBN-13: 9781636390710
  • 相關分類: Excel
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book is intended for undergraduate students of Mathematics, Statistics, and Physics who know nothing about Monte Carlo Methods but wish to know how they work. All treatments have been done as much manually as is practicable. The treatments are deliberately manual to let the readers get the real feel of how Monte Carlo Methods work.

Definite integrals of a total of five functions ��(��), namely Sin(��), Cos(��), e��, loge(��), and 1/(1+��2), have been evaluated using constant, linear, Gaussian, and exponential probability density functions ��(��). It is shown that results agree with known exact values better if ��(��) is proportional to ��(��). Deviation from the proportionality results in worse agreement.

This book is on Monte Carlo Methods which are numerical methods for Computational Physics. These are parts of a syllabus for undergraduate students of Mathematics and Physics for the course titled Computational Physics.

Need for the book: Besides the three referenced books, this is the only book that teaches how basic Monte Carlo methods work. This book is much more explicit and easier to follow than the three referenced books. The two chapters on the Variational Quantum Monte Carlo method are additional contributions of the book.

Pedagogical features: After a thorough acquaintance with background knowledge in Chapter 1, five thoroughly worked out examples on how to carry out Monte Carlo integration is included in Chapter 2. Moreover, the book contains two chapters on the Variational Quantum Monte Carlo method applied to a simple harmonic oscillator and a hydrogen atom.

The book is a good read; it is intended to make readers adept at using the method. The book is intended to aid in hands-on learning of the Monte Carlo methods.

商品描述(中文翻譯)

這本書是為數學、統計學和物理學的本科生所寫,他們對蒙地卡羅方法一無所知,但希望了解其運作原理。所有的處理都盡可能地以手動方式進行。這些處理故意採用手動方式,以讓讀者真切感受到蒙地卡羅方法的運作。

對五個函數的定積分進行了評估,這五個函數分別是 Sin(x)、Cos(x)、e^x、loge(x) 和 1/(1+x^2),使用了常數、線性、高斯和指數概率密度函數 p(x)。結果顯示,當 p(x) 與 f(x) 成正比時,結果與已知的精確值更為一致。偏離這種比例關係會導致更差的一致性。

這本書講述的是蒙地卡羅方法,這是一種用於計算物理的數值方法。這些方法是數學和物理本科生計算物理課程大綱的一部分。

這本書的需求:除了三本參考書籍外,這是唯一一本教授基本蒙地卡羅方法運作的書籍。這本書比三本參考書更明確且更易於理解。書中有兩章關於變分量子蒙地卡羅方法的內容,這是本書的額外貢獻。

教學特色:在第一章徹底了解背景知識後,第二章包含了五個「詳細的範例」,說明如何進行蒙地卡羅積分。此外,書中還包含兩章關於應用於簡諧振子和氫原子的變分量子蒙地卡羅方法。

這本書非常適合閱讀,旨在使讀者熟練掌握這種方法。這本書旨在幫助讀者進行蒙地卡羅方法的實踐學習。