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Tags: Microsoft Excel, Lang:en
Summary
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." 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.