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Explorations in Monte Carlo Methods
Buch von Ronald W Shonkwiler (u. a.)
Sprache: Englisch

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Beschreibung

Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems.

Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material.

This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics. The problem-oriented approach makes it ideal for an applied course in basic probability and for a more specialized course in Monte Carlo methods. Topics include probability distributions, counting combinatorial objects, simulated annealing, genetic algorithms, option pricing, gamblers ruin, statistical mechanics, sampling, and random number generation.

Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems.

Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material.

This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics. The problem-oriented approach makes it ideal for an applied course in basic probability and for a more specialized course in Monte Carlo methods. Topics include probability distributions, counting combinatorial objects, simulated annealing, genetic algorithms, option pricing, gamblers ruin, statistical mechanics, sampling, and random number generation.

Über den Autor

Ronald Shonkwiler is also publishing Mathematical Biology: An Introduction with Maple and Matlab, that will will be available in 2008. He is professor emeritus at Georgia Institute of Technology School of Mathematics. He received his PhD in 1970. His areas of expertise include: stochastic processes, optimization, computer simulation, Monte Carlo numerical methods, mathematical biology, and reproducing Kernel Hilbert spaces.

Franklin Mendevil is a professor at Acadia University in Nova Scotia. He received his PhD in 1996 at Georgia Institute of Technology. He has co-authored numerous papers and publications, several of which were with Dr. Shonkwiler.

Zusammenfassung

Applications covered: optimization, finance, statistical mechanics, birth and death processes, and gambling systems

Hands-on approach is used via realistic problems demonstrated with examples and numerical simulations

A wealth of completely solved example problems provide the reader with a sourcebook to follow toward the solution of their own computational problems.

Each chapter ends with a large collection of homework problems illustrating and directing the material

Includes supplementary material: [...]

Inhaltsverzeichnis
to Monte Carlo Methods.- Some Probability Distributions and Their Uses.- Markov Chain Monte Carlo.- Optimization by Monte Carlo Methods.- Random Walks.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 243
Inhalt: xii
243 S.
ISBN-13: 9780387878362
ISBN-10: 038787836X
Sprache: Englisch
Herstellernummer: 12242726
Einband: Gebunden
Autor: Shonkwiler, Ronald W
Mendivil, Franklin
Auflage: 2009 edition
Hersteller: Springer US
Springer New York
Maße: 245 x 166 x 23 mm
Von/Mit: Ronald W Shonkwiler (u. a.)
Erscheinungsdatum: 21.08.2009
Gewicht: 0,514 kg
preigu-id: 101637810
Über den Autor

Ronald Shonkwiler is also publishing Mathematical Biology: An Introduction with Maple and Matlab, that will will be available in 2008. He is professor emeritus at Georgia Institute of Technology School of Mathematics. He received his PhD in 1970. His areas of expertise include: stochastic processes, optimization, computer simulation, Monte Carlo numerical methods, mathematical biology, and reproducing Kernel Hilbert spaces.

Franklin Mendevil is a professor at Acadia University in Nova Scotia. He received his PhD in 1996 at Georgia Institute of Technology. He has co-authored numerous papers and publications, several of which were with Dr. Shonkwiler.

Zusammenfassung

Applications covered: optimization, finance, statistical mechanics, birth and death processes, and gambling systems

Hands-on approach is used via realistic problems demonstrated with examples and numerical simulations

A wealth of completely solved example problems provide the reader with a sourcebook to follow toward the solution of their own computational problems.

Each chapter ends with a large collection of homework problems illustrating and directing the material

Includes supplementary material: [...]

Inhaltsverzeichnis
to Monte Carlo Methods.- Some Probability Distributions and Their Uses.- Markov Chain Monte Carlo.- Optimization by Monte Carlo Methods.- Random Walks.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 243
Inhalt: xii
243 S.
ISBN-13: 9780387878362
ISBN-10: 038787836X
Sprache: Englisch
Herstellernummer: 12242726
Einband: Gebunden
Autor: Shonkwiler, Ronald W
Mendivil, Franklin
Auflage: 2009 edition
Hersteller: Springer US
Springer New York
Maße: 245 x 166 x 23 mm
Von/Mit: Ronald W Shonkwiler (u. a.)
Erscheinungsdatum: 21.08.2009
Gewicht: 0,514 kg
preigu-id: 101637810
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