Stochastic optimization in continuous time

Most of the current books on stochastic control theory are written for students in mathematics or finance. This introduction is designed, however, for those interested in the relevance and applications of the theory's mathematical principles to economics. Therefore, mathematical methods are discussed intuitively and ...

Risk and financial management

mathematical and computational methods

Financial risk management has become a popular practice amongst financial institutions to protect against the adverse effects of uncertainty caused by fluctuations in interest rates, exchange rates, commodity prices, and equity prices. New financial instruments and mathematical techniques are continuously developed and introduced in financial ...

Levy processes in finance

pricing financial derivatives

Financial mathematics has recently enjoyed considerable interest on account of its impact on the finance industry. In parallel, the theory of Lévy processes has also seen many exciting developments. These powerful modelling tools allow the user to model more complex phenomena, and are commonly applied ...

Economics as an agent-based complex system

toward agent-based social systems sciences

In agent-based modeling the focus is very much on agent-based simulation, as simulation is a very important tool for agent-based modeling. We also use agent-based simulation in this book with a stress on the mathematical foundation of agent-based modeling. We introduce two original mathematical frameworks ...

Theory of conjectural variations

This book presents, for the first time, a comprehensive account of conjectural variations equilibria in their static inceptions, featuring new comparative results of equilibria with regard to efficiency. It then describes several advances in Dynamic Game Theory, allowing to understand Conjectural Variations Equilibria as dynamic ...

Quantitative finance and risk management

a physicist's approach

Written by a physicist with over 15 years of experience as a quant on Wall Street, this book treats a wide variety of topics. Presenting the theory and practice of quantitative finance and risk, it delves into the "how to" and "what it's like ...

Theory of regular economies

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required ...

Un matemático invierte en bolsa

John Allen Paulos sintió a finales de los años noventa, en pleno auge de las empresas «punto com», la irresistible atracción del mundo de la Bolsa. Invirtió dinero, especuló con acciones, se arriesgó cada vez más y... ¡perdió!, tal vez al igual que muchos de ...

Cálculo

Este material se ha concebido, no para un lucimiento personal de quienes lo escriben,sino pensando única y exclusivamente en el alumno y en el alumno y en que aproveche al máximo el tiempo que le dedica a la asignatura.Siendo el Cálculo uno de ...

Cálculo superior

Incluye 925 problemas resueltos Tabla de Contenidos Números, funciones, límites y continuidad. Sucesiones. Derivadas. Integrales. Derivadas parciales. Vectores. Aplicaciones de las derivadas parciales. Integrales múltiples. Integrales curvilíneas. Integrales de superficie y teorema de integrales. Series. Integrales impropias. Funciones gamma y beta. Series de Fourier. Integrales ...

Math through the ages

a gentle history for teachers and others

Where did math come from? Who thought up all those algebra symbols? Who came up with the symbols for arithmetic? What's the story behind the metric system, Euclidean geometry, or complex numbers? What is it all for, anyway? Such questions come up naturally when ...

Optimización inteligente

técnicas de Inteligencia Computacional para optimización

El libro aborda la temática conocida como Inteligencia computacional (Soft Computing) en su aplicación al campo de la Optimización. Los distintos capitulos realizan un recorrido muy completo por las diferentes ramas de esta temática: Redes neuronales artificiales, Algoritmos genéticos, Meteheurísticas, Lógica borrosa y Técnicas mixtas.

Fundamentos de matemática aplicada

Este texto, pensado para estudiantes de carreras técnicas, consta de ocho capítulos o unidades temáticas que versan sobre álgebra y cálculo diferencial e integral de una variable. Cada capítulo posee un resumen teórico, con la estuctura adecuada y la extensión precisa para que el lector ...

Modeling aggregate behavior and fluctuations in economics

stochastic views of interacting agents

This book has two components: stochastic dynamics and stochastic random combinatorial analysis. The first discusses evolving patterns of interactions of a large but finite number of agents of several types. Changes of agent types or their choices or decisions over time are formulated as jump ...

Guía interactiva de cálculo para la economía y la empresa con Derive

INDECE: 1. Priperos pasos con Derive5. 2. Funciones gráficas. límites y continuidad. 3. Derivabilidad de funciones reales de variable real. 4. Funciones reales de varias variables. 5. Introducción a la optimización de funciones reales de varias variables. 7. Ejercicios generales de repaso. Bibliografía.

Investigación operativa

modelos determinísticos y estocásticos

Esta obra nos introduce en el conocimiento de los modelos deterministas y estocásticos de la Investigación Operativa cuyos orígenes se encuentran en los primeros intentos de aplicar el método científico a problemas de planificación empresarial en los comienzos del siglo pasado. Libro adecuado para profesionales ...

Applied Calculus

Discrete mathematics and its applications

Ecuaciones diferenciales para las Licenciaturas de Economía y Administración de Empresas

Investigación operativa