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1. Lectures on Monte Carlo Methods (Hardback)

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6. Lectures on Monte Carlo Methods

Monte Carlo methods form an experimental branch of mathematics that employs simulations driven by random number generators. These methods are often used when others fail, since they are much less sensitive to the "curse of dimensionality", which plagues deterministic methods in problems with a large number of variables. Monte Carlo methods are used in many fields: mathematics, statistics, physics, chemistry, finance, computer science, and biology, for instance.

This book is an introduction to Monte Carlo methods for anyone who would like to use these methods to study various kinds of mathematical models that arise in diverse areas of application. The book is based on lectures in a graduate course given by the author. It examines theoretical properties of Monte Carlo methods as well as practical issues concerning their computer implementation and statistical analysis. The only formal prerequisite is an undergraduate course in probability.

The book is intended to be accessible to students from a wide range of scientific backgrounds. Rather than being a detailed treatise, it covers the key topics of Monte Carlo methods to the depth necessary for a researcher to design, implement, and analyze a full Monte Carlo study of a mathematical or scientific problem. The ideas are illustrated with diverse running examples. There are exercises sprinkled throughout the text. The topics covered include computer generation of random variables, techniques and examples for variance reduction of Monte Carlo estimates, Markov chain Monte Carlo, and statistical analysis of Monte Carlo output.

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"Short but enlightening introduction to the subject ... ideal text for a first graduate course on Monte Carlo methods for statisticians, mathematicians, computer scientists, and other scientists. The author is a leading expert in the field and he has made a careful choice of material to give readers a good basic introduction to the field." ---- CMS Notes

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Published by
American Mathematical Society, United States
(2001)

ISBN 10: 0821829785
ISBN 13: 9780821829783

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**Book Description **American Mathematical Society, United States, 2001. Hardback. Condition: New. Language: English. Brand new Book. Monte Carlo methods form an experimental branch of mathematics that employs simulations driven by random number generators. These methods are often used when others fail, since they are much less sensitive to the 'curse of dimensionality', which plagues deterministic methods in problems with a large number of variables. Monte Carlo methods are used in many fields: mathematics, statistics, physics, chemistry, finance, computer science, and biology, for instance. This book is an introduction to Monte Carlo methods for anyone who would like to use these methods to study various kinds of mathematical models that arise in diverse areas of application. The book is based on lectures in a graduate course given by the author. It examines theoretical properties of Monte Carlo methods as well as practical issues concerning their computer implementation and statistical analysis. The only formal prerequisite is an undergraduate course in probability.The book is intended to be accessible to students from a wide range of scientific backgrounds. Rather than being a detailed treatise, it covers the key topics of Monte Carlo methods to the depth necessary for a researcher to design, implement, and analyze a full Monte Carlo study of a mathematical or scientific problem. The ideas are illustrated with diverse running examples. There are exercises sprinkled throughout the text. The topics covered include computer generation of random variables, techniques and examples for variance reduction of Monte Carlo estimates, Markov chain Monte Carlo, and statistical analysis of Monte Carlo output. Seller Inventory # AAN9780821829783

Published by
American Mathemataical Society, U.S.A.
(2002)

ISBN 10: 0821829785
ISBN 13: 9780821829783

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**Book Description **American Mathemataical Society, U.S.A., 2002. Hardcover. Condition: New. No Jacket. 1st Edition. Unopened in publisher's shrink wrap. PB350. Seller Inventory # 062625

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ISBN 10: 0821829785
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**Book Description **American Mathematical Society 2002-02-14, 2002. Hardcover. Condition: New. Seller Inventory # 6666-TRP-9780821829783

Published by
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ISBN 10: 0821829785
ISBN 13: 9780821829783

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**Book Description **American Mathematical Society, 2002. Hardback. Condition: New. New copy - Usually dispatched within 4 working days. Monte Carlo methods form an experimental branch of mathematics that employs simulations driven by random number generators. This book examines the theoretical properties of Monte Carlo methods as well as practical issues concerning their computer implementation and statistical analysis. Seller Inventory # B9780821829783

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Amer Mathematical Society
(2001)

ISBN 10: 0821829785
ISBN 13: 9780821829783

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**Book Description **Amer Mathematical Society, 2001. Hardcover. Condition: Brand New. illustrated edition. 103 pages. 10.00x7.25x0.50 inches. In Stock. Seller Inventory # __0821829785

Published by
American Mathematical Society
(2001)

ISBN 10: 0821829785
ISBN 13: 9780821829783

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Hardcover
Quantity available: 3

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**Book Description **American Mathematical Society, 2001. HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # CE-9780821829783