This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.
Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing as well as a new chapter on credit risk modeling. It contains many numerical experiments and real-world examples taken from the authors' own experiences. The book also provides all of the necessary stochastic calculus theory and implements some of the algorithms using SciLab. Key topics covered include martingales, arbitrage, option pricing, and the Black-Scholes model.
This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.
In recent years the growing importance of derivative products financial markets has increased financial institutions' demands for mathematical skills. This book introduces the mathematical methods of financial modeling with clear explanations of the most useful models. Introduction to Stochastic Calculus begins with an elementary presentation of discrete models, including the Cox-Ross-Rubenstein model. This book will be valued by derivatives trading, marketing, and research divisions of investment banks and other institutions, and also by graduate students and research academics in applied probability and finance theory.
Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing as well as a new chapter on credit risk modeling. It contains many numerical experiments and real-world examples taken from the authors' own experiences. The book also provides all of the necessary stochastic calculus theory and implements some of the algorithms using SciLab. Key topics covered include martingales, arbitrage, option pricing, and the Black-Scholes model.
For the past several decades, French historians have emphasized the writing of history in terms of structures, cultures, and mentalities, an approach exemplified by proponents of the Annales school. With this volume, Bernard Guenée, himself associated with the Annalistes, marks a decisive break with this dominant mode of French historiography. Still recognizing the Annalistes' indispensable contribution, Guenée turns to the genre of biography as a way to attend more closely to chance, to individual events and personalities, and to a sense of time as people actually experienced it, without sacrificing the conceptual rigor made possible by crisply stated problématiques. His engaging and detailed study links in sequence the lives of four French bishops who, because of their office, were intellectuals and politicians as well. These men rose in the hierarchy that was medieval society by dint of talent and ambition, not birth. What Guenée reveals is the career patterns and politics of an era that privileged youth yet granted certain advantages to those, such as Guenée's subjects, who survived to old age. He illustrates not only how these and other medieval men of the church were schooled but also how they learned from life, illuminating medieval and early modern history through their writings."--Jacket.
Gerfaut, Complete" is a singular by Charles de Bernard, a French author known for his works in the nineteenth century. The novel, at first posted in French, is a complex tale of love, intrigue, and societal expectations. The narrative revolves across the enigmatic individual Gerfaut, a person with a mysterious past and a penchant for attracting both admiration and suspicion. As the story unfolds, readers are immersed in a world of romantic entanglements, mystery societies, and the intricacies of human relationships. Set towards the backdrop of nineteenth-century France, the novel explores topics of passion, ambition, and the restrictions imposed through societal norms. Gerfaut's adventure is marked through both triumphs and tribulations as he navigates the complexities of affection and the pursuit of personal achievement. Charles de Bernard's storytelling is characterised by its rich prose and tricky plot production. The novel provides a window into the social dynamics and moral dilemmas of the time, presenting readers a concept-provoking exploration of human nature. "Gerfaut, Complete" is a testament to Charles de Bernard's narrative ability and his potential to craft memories that captivate readers with their intensity and complexity. It stays a compelling work that invitations readers to reflect on the undying issues of affection, ambition, and the ever-present anxiety between man or woman dreams and societal expectations.
The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers.
An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance. We recall this formula. Let (B ,t? 0; F ,t? 0, P) - t t note a standard Brownian motion with B = 0, (F ,t? 0) being its natural ?ltra- 0 t t tion. Let E := exp B? ,t? 0 denote the exponential martingale associated t t 2 to (B ,t? 0). This martingale, also called geometric Brownian motion, is a model t to describe the evolution of prices of a risky asset. Let, for every K? 0: + ? (t) :=E (K?E ) (0.1) K t and + C (t) :=E (E?K) (0.2) K t denote respectively the price of a European put, resp. of a European call, associated with this martingale. Let N be the cumulative distribution function of a reduced Gaussian variable: x 2 y 1 ? 2 ? N (x) := e dy. (0.3) 2? ?? The celebrated Black-Scholes formula gives an explicit expression of? (t) and K C (t) in terms ofN : K ? ? log(K) t log(K) t ? (t)= KN ? + ?N ? ? (0.4) K t 2 t 2 and ? ?
More mathematicians have been taking part in the development of digital image processing as a science and the contributions are reflected in the increasingly important role modeling has played solving complex problems. This book is mostly concerned with energy-based models. Most of these models come from industrial projects in which the author was involved in robot vision and radiography: tracking 3D lines, radiographic image processing, 3D reconstruction and tomography, matching, deformation learning. Numerous graphical illustrations accompany the text.
Following the German occupation of Belgium and the evacuation from Dunkirk, many wounded soldiers were left behind and captured. Those who escaped and downed Allied pilots and crews were helped to get back to Britain by some remarkable men and women in the Comète escape line. As well as telling the story of Andrée de Jongh, one of its founders, using recently released documents from the National Archives, this book provides details about Elaine Madden, Frédérique Dupuich, Olga Jackson and an anonymous blonde, women who had got out of Belgium and yet volunteered to be flown back from RAF Tempsford: 'Churchill's Most Secret Airfield' and parachuted into occupied Belgium with vital missions to undertake prior to liberation.
Women and Slavery in the French Antilles, 1635–1848 Bernard Moitt Examines the reaction of black women to slavery. In Women and Slavery in the French Antilles, 1635–1848, Bernard Moitt argues that gender had a profound effect on the slave plantation system in the French Antilles. He details and analyzes the social condition of enslaved black women in the plantation societies of Martinique, Guadeloupe, Saint-Domingue (now Haiti), and French Guiana from 1635 to the abolition of slavery in the French colonial empire in 1848. Moitt examines the lives of black women in bondage, evaluates the impact that the slave experience had on them, and assesses the ways in which women reacted to and coped with slavery in the French Caribbean for over two centuries. As males outnumbered females for most of the slavery period and monopolized virtually all of the specialized tasks, the disregard for gender in task allocation meant that females did proportionately more hard labor than did males. In addition to hard work in the fields, women were engaged in gender-specific labor and performed a host of other tasks. Women resisted slavery in the same ways that men did, as well as in ways that gender and allocation of tasks made possible. Moitt casts slave women in dynamic roles previously ignored by historians, thus bringing them out of the shadows of the plantation world into full view, where they belong. Bernard Moitt is Assistant Professor in the History Department at Virginia Commonwealth University in Richmond. Previously, he taught at the University of Toronto and at Utica College of Syracuse University. Educated in Antigua (where he was born), Canada, and the United States, he has written on aspects of francophone African and Caribbean history, with particular emphasis on gender and slavery. Blacks in the Diaspora—Darlene Clark Hine, John McCluskey, Jr., David Barry Gaspar, general editors June 2001 256 pages, 6 1/8 x 9 1/4, index, append. cloth0-253-33913-8$44.95 L / £34.00 paper0-253-21452-1$19.95 s / 15.50
«J'affirme que le monde des sens est à l'origine de toute compréhension humaine.» Marin, chasseur de phoques, boxeur, chauffeur, repasseur, mineur, correspondant de guerre, vagabond du rail, chômeur, clochard, Jack London (1876-1916) vécut dans sa courte existence plus de mille vies. Sa bibliographie, qui compte une cinquantaine de volumes, comprend des nouvelles, des romans, des pièces de théâtre, des articles, des reportages, des discours enflammés au nom du socialisme. L'Appel de la forêt, Croc-Blanc, Construire un feu, Martin Eden, Le Talon de fer, autant de titres qui composent une ouvre dans laquelle l'autobiographie et le combat pour la vie occupent une place primordiale. A l'aube de sa quarante et unième année, consumé par tous les excès, il décide de mettre fin à ses jours en s'administrant une dose mortelle de morphine.
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