Arbitrage theory in continuous time

The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's ...

Numerati

lo saben todo de ti

«Una lectura imprescindible sobre la tendencia cultural más sorprendente de hoy: el aumento de una élite de matemáticos que saben cómo manipular nuestra información», Wired Estamos siendo vigilados. Una llamada con el móvil, un pago con tarjeta de crédito, un clic en Internet# y cada ...

Artificial economics

the generative method in economics

Eds. Cesáreo Hernández...[et.al]. Simulation is used in economics to solve large econometric models, for large-scale micro simulations, and to obtain numerical solutions for policy design in top-down established models. But these applications fail to take advantage of the methods offered by artificial economics ...

Mythematics

solving the 12 labors of Hercules

How might Hercules, the most famous of the Greek heroes, have used mathematics to complete his astonishing Twelve Labors? From conquering the Nemean Lion and cleaning out the Augean Stables, to capturing the Erymanthean Boar and entering the Underworld to defeat the three-headed dog Cerberus ...

Dynamic general equilibrium modeling

computational methods and applications

Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. In order to solve these models, economists need to use many mathematical tools. This book presents various methods in order to compute the dynamics of general equilibrium models. In part I, the ...

Mathletics

how gamblers, managers, and sports enthusiasts use mathematics in Baseball, Basketball, and Football

"Mathletics" is a remarkably entertaining book that shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, and football, and in sports gambling. How does professional baseball evaluate hitters? Is a singles hitter like Wade ...

Economic dynamics

"This fourth edition of Gandolfo' s masterful book on economic dynamics is the premier source on dynamic mathematical tools for economists, with illustrations from many areas of current economic research. Not only is the book valuable as an encyclopedic reference book for researchers but is ...

El artista y el matemático

la historia de Nicolas Bourbaki, el genio matemático que nunca existió

Este libro presenta una historia singular que vincula a algunos de los protagonistas y a algunas de las ideas más trascendentes de la cultura occidental del siglo XX: Pablo Picasso, Claude Lévi-Strauss, Simone Weil.

Mathematical formulas for economists

The present collection of formulas has been composed for students of economics or management science at universities, colleges and trade schools. It contains basic knowledge in mathematics, financial mathematics and statistics in a compact and clearly arranged form. This volume is meant to be a ...

Theory of Zipf's Law and beyond

Zipf's law is one of the few quantitative reproducible regularities found in economics. It states that, for most countries, the size distributions of city sizes and of firms are power laws with a specific exponent: the number of cities and of firms with sizes ...

Causality

models, reasoning, and inference

Written by one of the preeminent researchers in the field, this book provides a comprehensive exposition of modern analysis of causation. It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence ...

La llave aritmética y algebráyca

Facsímil de la edicion de 1801. "Pregunto. Que entiende V.m. aqui por Llave? Respondo. Lo que entiendo aqui por Llave no es otra cosa, que una idea general que con franqueza nos abre el conocimiento para descubrir con tino y acierto lo oculto que ...

Coping with unvertainty

robust solutions

Eds. Kurt Marti, Yuri Ermoliev, Marek Makowski. Support for addressing the on-going global changes needs solutions for new scientific problems which in turn require new concepts and tools. A key issue concerns a vast variety of irreducible uncertainties, including extreme events of high multidimensional consequences ...

Las matemáticas y la física del caos

Este libro trata sobre el caos, es decir, sobre el comportamiento aparentemente errático e impredecible de algunos sistemas dinámicos, incluso en aquellos cuya formulación matemática es determinista. Este comportamiento aparece cuando hay una dependencia sensible a las condiciones iniciales, de modo que si las modificamos ...

Handbook of financial time series

The Handbook of Financial Time Series gives an up-to-date overview of the field and covers all relevant topics both from a statistical and an econometrical point of view. Experts present among others various aspects of the important GARCH and Stochastic Volatility classes, like for example ...

Mathematical control theory and finance

Eds. Andrey Sarychev...[et al]. This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical ...

Modern actuarial risk theory

using R

Aut. Rob Kaas...[et al]. "Modern Actuarial Risk Theory" contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles ...

RATS handbook to accompany introductory econometrics for finance

Written to complement the second edition of best-selling textbook Introductory Econometrics for Finance, this book provides a comprehensive introduction to the use of the Regression Analysis of Time Series (RATS) software for modelling in finance and beyond. It provides numerous worked examples with carefully annotated ...

Synthetic CDOs

modelling, valuation and risk management

Credit derivatives have enjoyed explosive growth in the last decade, particularly synthetic Collateralised Debt Obligations (synthetic CDOs). This book describes the state-of-the-art in quantitative and computational modelling of CDOs. Beginning with an overview of the structured finance landscape, readers are introduced tothe basic modelling concepts ...

Complex and chaotic nonlinear dynamics

advances in economics and finance, mathematics, and statistics

Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic ...