Initiation Aux Probabilit S
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Exploring Probability In School
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Author : Graham A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Exploring Probability In School written by Graham A. Jones and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Education categories.
Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.
Initiation Aux Probabilit S
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Author : Pierre Brémaud
language : fr
Publisher: Springer Science & Business Media
Release Date : 2009-08-25
Initiation Aux Probabilit S written by Pierre Brémaud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-25 with Mathematics categories.
Cette introduction aux concepts probabilistes et au calcul des probabilités s'adresse aux élèves-ingénieurs ou aux étudiants qui ne se destinent pas a priori à une carrière en mathématiques. La présentation, bien qu'utilisant le formalisme moderne, ne fait donc pas appel à une connaissance préalable de la Théorie de la Mesure et de l'Intégration. En revanche, l'auteur insiste tout au long du livre sur l'aspect essentiel de la modélisation, à l'aide d'exercises variés en génétique (processus de branchement) en théorie des communicaitons (transmission de données, codage), en théorie du signal (filtre de Kalman-Bucy), en recherche opérationnelle (fils d'attente) en statistique (tests d'hypothèses), etc. Une dernière caractéristique importante de ce livre est la présence d'une centaine d'exercices avec solutions détaillées.
Adding It Up
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2001-12-13
Adding It Up written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Education categories.
Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.
The Monte Carlo Methods
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Author : Abdo Abou Jaoudé
language : en
Publisher: BoD – Books on Demand
Release Date : 2022-03-09
The Monte Carlo Methods written by Abdo Abou Jaoudé and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-09 with Science categories.
In applied mathematics, the name Monte Carlo is given to the method of solving problems by means of experiments with random numbers. This name, after the casino at Monaco, was first applied around 1944 to the method of solving deterministic problems by reformulating them in terms of a problem with random elements, which could then be solved by large-scale sampling. But, by extension, the term has come to mean any simulation that uses random numbers. Monte Carlo methods have become among the most fundamental techniques of simulation in modern science. This book is an illustration of the use of Monte Carlo methods applied to solve specific problems in mathematics, engineering, physics, statistics, and science in general.
Classic Problems Of Probability
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Author : Prakash Gorroochurn
language : en
Publisher: John Wiley & Sons
Release Date : 2012-04-30
Classic Problems Of Probability written by Prakash Gorroochurn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.
Asset And Risk Management
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Author : Louis Esch
language : en
Publisher: John Wiley & Sons
Release Date : 2005-09-27
Asset And Risk Management written by Louis Esch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-27 with Business & Economics categories.
The aim of this book is to study three essential components of modern finance – Risk Management, Asset Management and Asset and Liability Management, as well as the links that bind them together. It is divided into five parts: Part I sets out the financial and regulatory contexts that explain the rapid development of these three areas during the last few years and shows the ways in which the Risk Management function has developed recently in financial institutions. Part II is dedicated to the underlying theories of Asset Management and deals in depth with evaluation of financial assets and with theories relating to equities, bonds and options. Part III deals with a central theory of Risk Management, the general theory of Value at Risk or VaR, its estimation techniques and the setting up of the methodology. Part IV is the point at which Asset Management and Risk Management meet. It deals with Portfolio Risk Management (the application of risk management methods to private asset management), with an adaptation of Sharpe’s simple index method and the EGP method to suit VaR and application of the APT method to investment funds in terms of behavioural analysis. Part V is the point at which Risk Management and Asset and Liability Management (ALM) meet, and touches on techniques for measuring structural risks within the on and off balance sheet. The book is aimed both at financial professionals and at students whose studies contain a financial aspect. "Esch, Kieffer and Lopez have provided us with a comprehensive and well written treatise on risk. This is a must read, must keep volume for all those who need or aspire to a professional understanding of risk and its management." —Harry M Markowitz, San Diego, USA
The Computer Simulation Of Mont Carlo Methods And Random Phenomena
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Author : Abdo Abou Jaoudé
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-01-07
The Computer Simulation Of Mont Carlo Methods And Random Phenomena written by Abdo Abou Jaoudé and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-07 with Mathematics categories.
This book includes algorithms that illustrate the famous Monté Carlo Methods and the computer simulation of stochastic experiments in the areas of random numbers generation, the simulation of random phenomena, the computation of Pi and e (the base of logarithms), both simple and multiple integration, the computation of areas and volumes, probability and statistical distributions, in addition to an introduction to the novel Complex Probability Paradigm. As such, it will be of interest to all scholars, researchers, and undergraduate and graduate students in mathematics, computer science, and science in general.
Quasi Stationary Distributions
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Author : Pierre Collet
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-24
Quasi Stationary Distributions written by Pierre Collet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-24 with Mathematics categories.
Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the last few decades have received a great deal of attention. The authors provide the exponential distribution property of the killing time for QSDs, present the more general result on their existence and study the process of trajectories that survive forever. For birth-and-death chains and diffusions, the existence of a single or a continuum of QSDs is described. They study the convergence to the extremal QSD and give the classification of the survival process. In this monograph, the authors discuss Gibbs QSDs for symbolic systems and absolutely continuous QSDs for repellers. The findings described are relevant to researchers in the fields of Markov chains, diffusions, potential theory, dynamical systems, and in areas where extinction is a central concept. The theory is illustrated with numerous examples. The volume uniquely presents the distribution behavior of individuals who survive in a decaying population for a very long time. It also provides the background for applications in mathematical ecology, statistical physics, computer sciences, and economics.
Initiation Aux Probabilit S
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Author : Sheldon M. Ross
language : fr
Publisher:
Release Date : 1990
Initiation Aux Probabilit S written by Sheldon M. Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
The Intuitive Sources Of Probabilistic Thinking In Children
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Author : H. Fischbein
language : en
Publisher: Springer Science & Business Media
Release Date : 1975-11-30
The Intuitive Sources Of Probabilistic Thinking In Children written by H. Fischbein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-11-30 with Psychology categories.
About a year ago I promised my friend Fischbein a preface to his book of which I knew the French manuscript. Now with the printer's proofs under my eyes I like the book even better than I did then, because of, and influenced by, new experiences in the meantime, and fresh thoughts that crossed my mind. Have I been influenced by what I remembered from the manuscript? If so, it must have happened unconsciously. But of course, what struck me in this work a year ago, struck a responsive chord in my own mind. In the past, mathematics teaching theory has strongly been influenced by a view on mathematics as a heap of concepts, and on learning mathematics as concepts attainment. Mathematics teaching practice has been jeopardised by this theoretical approach, which in its most dangerous form expresses itself as a radical atomism. To concepts attainment Fischbein opposes acquisition of intuitions. In my own publications I avoided the word "intuition" because of the variety of its meanings across languages. For some time I have used the term "constitution of mathematical objects", which I think means the same as Fischbein's "acquisition of intuitions" - indeed as I view it, constituting a mental object precedes its conceptualising, and under this viewpoint I tried to observe mathematical activities of young children.