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Automatic Nonuniform Random Variate Generation (Hardcover, 2004 ed.): Wolfgang Hoermann, Josef Leydold, Gerhard Derflinger Automatic Nonuniform Random Variate Generation (Hardcover, 2004 ed.)
Wolfgang Hoermann, Josef Leydold, Gerhard Derflinger
R2,859 Discovery Miles 28 590 Ships in 10 - 15 working days

Non-uniform random variate generation is an established research area in the intersection of mathematics, statistics and computer science. Although random variate generation with popular standard distributions have become part of every course on discrete event simulation and on Monte Carlo methods, the recent concept of universal (also called automatic or black-box) random variate generation can only be found dispersed in literature. This new concept has great practical advantages that are little known to most simulation practitioners. Being unique in its overall organization the book covers not only the mathematical and statistical theory, but also deals with the implementation of such methods. All algorithms introduced in the book are designed for practical use in simulation and have been coded and made available by the authors. Examples of possible applications of the presented algorithms (including option pricing, VaR and Bayesian statistics) are presented at the end of the book.

Automatic Nonuniform Random Variate Generation (Paperback, Softcover reprint of the original 1st ed. 2004): Wolfgang Hoermann,... Automatic Nonuniform Random Variate Generation (Paperback, Softcover reprint of the original 1st ed. 2004)
Wolfgang Hoermann, Josef Leydold, Gerhard Derflinger
R2,834 Discovery Miles 28 340 Ships in 10 - 15 working days

Non-uniform random variate generation is an established research area in the intersection of mathematics, statistics and computer science. Although random variate generation with popular standard distributions have become part of every course on discrete event simulation and on Monte Carlo methods, the recent concept of universal (also called automatic or black-box) random variate generation can only be found dispersed in literature. This new concept has great practical advantages that are little known to most simulation practitioners. Being unique in its overall organization the book covers not only the mathematical and statistical theory, but also deals with the implementation of such methods. All algorithms introduced in the book are designed for practical use in simulation and have been coded and made available by the authors. Examples of possible applications of the presented algorithms (including option pricing, VaR and Bayesian statistics) are presented at the end of the book.

Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn Type Theorems (Paperback, 2007 ed.): Turker Biyikoglu,... Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn Type Theorems (Paperback, 2007 ed.)
Turker Biyikoglu, Josef Leydold, Peter F. Stadler
R1,229 Discovery Miles 12 290 Ships in 10 - 15 working days

Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrodinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) Geometric properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.

The volume investigates the structure of eigenvectors and looks at the number of their sign graphs ( nodal domains ), Perron components, graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology."

Mathematik Fur OEkonomen - Formale Grundlagen Der Wirtschaftswissenschaften (German, Hardcover, 3rd 3., Uberarbeitete Auflage... Mathematik Fur OEkonomen - Formale Grundlagen Der Wirtschaftswissenschaften (German, Hardcover, 3rd 3., Uberarbeitete Auflage ed.)
Josef Leydold
R1,091 Discovery Miles 10 910 Ships in 12 - 17 working days

Einfuhrung in die Welt der Mathematik, die sich bemuht, die Idee der mathematischen Konzepte verstandlich zu machen. Ziel ist es, den Mathematik-Schein leichter erwerben zu konnen - und das mit nachhaltigem Nutzen fur das weitere Studium. I Grundlagen. Logik. Mengen und Abbildungen. II Lineare Algebra. Lineare Gleichungssysteme. Matrizen und Vektoren. Vektorraume. Determinanten. Eigenwerte und Eigenvektoren. III Analysis. Reihen und ihre Folgen. Funktionen. Differentialquotient und Ableitung. Taylorreihen. Stammfunktion und Integral. Funktionen in mehreren Variablen. IV Optimierung. Extrema. Lagrange-Multiplikatoren. Lineare Optimierung. Die Kuhn-Tucker Bedingung. V Dynamische Analyse. Differentialgleichungen. Differenzengleichungen. VI Appendizes. Term, Gleichungen und Ungleichungen. Komplexe Zahlen. Losungen."

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