Shonkwiler / Mendivil Explorations in Monte Carlo Methods

2. Auflage 2024
ISBN: 978-3-031-55964-8
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 280 Seiten, eBook

Reihe: Undergraduate Texts in Mathematics

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.

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Shonkwiler, Ronald W.

Mendivil, Franklin

Inhaltsverzeichnis

1. Introduction to Monte Carlo Methods.- 2. Some Probability Distributions and Their Uses.- 3. Markov Chain Monte Carlo.- 4. Random Walks.- 5. Optimization by Monte Carlo Methods.- 6. More on Markov Chain Monte Carlo.- A. Generating Uniform Random Numbers.- B. Perron Frobenius Theorem.- C. Kelly Allocation for Correlated Investments.- D. Donsker's Theorem.- E. Projects.- References.- List of Notation.- Code Index.

Über Autor(innen)

Ronald W. Shonkwiler is professor emeritus at Georgia Institute of Technology School of Mathematics. He received his PhD in 1970. His areas of expertise include: stochastic optimization, computer simulation, Monte Carlo numerical methods, mathematical biology, and reproducing Kernel Hilbert spaces.

Franklin Mendivil is a professor at Acadia University in Nova Scotia. He received his BSCE in Civil Engineering and his PhD in 1996 at Georgia Institute of Technology. In addition to the first edition of this text, Professor Mendivil co-authored "Fractal-Based Methods in Analysis" 2012.