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020 _a9783031024290
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024 7 _a10.1007/978-3-031-02429-0
_2doi
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082 0 4 _a510
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100 1 _aChowdhury, Sujaul.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_978788
245 1 0 _aMonte Carlo Methods
_h[electronic resource] :
_bA Hands-On Computational Introduction Utilizing Excel /
_cby Sujaul Chowdhury.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aX, 123 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aIntroduction -- Evaluation of Definite Integrals Using the Monte Carlo Method -- Variational Monte Carlo Method Applied to the Ground State of a Simple Harmonic Oscillator -- Variational Monte Carlo Method Applied to the Ground State of a Hydrogen Atom -- Concluding Remarks -- Bibliography -- Author's Biography.
520 _aThis 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.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
710 2 _aSpringerLink (Online service)
_978789
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031002755
776 0 8 _iPrinted edition:
_z9783031013010
776 0 8 _iPrinted edition:
_z9783031035579
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_978790
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02429-0
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