Abraham De Moivre

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Abraham De Moivre

Author : David R. Bellhouse
Publisher : CRC Press
Page : 258 pages
File Size : 45,5 Mb
Release : 2011-10-19
Category : Mathematics
ISBN : 9781439865781

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Abraham De Moivre by David R. Bellhouse Pdf

Extensively researched, this book traces the life and work of Abraham De Moivre as well as the state of probability and statistics in eighteenth-century Britain. It is the first extensive biography of De Moivre and is based on recently discovered material and translations, including some of De Moivre's letters.The book begins with discussions on De

The Doctrine of Chances

Author : Abraham de Moivre
Publisher : Chelsea Publishing Company, Incorporated
Page : 392 pages
File Size : 48,6 Mb
Release : 1756
Category : Mathematics
ISBN : STANFORD:36105032822681

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The Doctrine of Chances by Abraham de Moivre Pdf

A history of the men in the author's family. Describes their pains and joys as they become American.

Abraham De Moivre

Author : David R. Bellhouse
Publisher : CRC Press
Page : 268 pages
File Size : 46,8 Mb
Release : 2011-10-19
Category : Mathematics
ISBN : 9781568813493

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Abraham De Moivre by David R. Bellhouse Pdf

Extensively researched, this book traces the life and work of Abraham De Moivre as well as the state of probability and statistics in eighteenth-century Britain. It is the first extensive biography of De Moivre and is based on recently discovered material and translations, including some of De Moivre’s letters. The book begins with discussions on De Moivre’s early life in France and his initial work in pure mathematics with some excursions into celestial mechanics. It then describes his fundamental contributions to probability theory and applications, including those in finance and actuarial science. The author explores how De Moivre’s wide network of personal and professional connections often motivated his research. The book also covers De Moivre’s contemporaries and his impact on the field. Written in a clear, approachable style, this biography will appeal to historians and practitioners of the art of probability and statistics in a wide range of applications, including finance and actuarial science.

Statistical Independence in Probability, Analysis and Number Theory

Author : Mark Kac
Publisher : Courier Dover Publications
Page : 112 pages
File Size : 43,5 Mb
Release : 2018-08-15
Category : Mathematics
ISBN : 9780486833408

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Statistical Independence in Probability, Analysis and Number Theory by Mark Kac Pdf

This concise monograph by a well-known mathematician shows how probability theory, in its simplest form, arises in a variety of contexts and in many different mathematical disciplines. 1959 edition.

Between Certainty and Uncertainty

Author : Ludomir M. Laudański
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 42,7 Mb
Release : 2012-10-14
Category : Mathematics
ISBN : 9783642256967

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Between Certainty and Uncertainty by Ludomir M. Laudański Pdf

„Between Certainty & Uncertainty” is a one-of–a-kind short course on statistics for students, engineers and researchers. It is a fascinating introduction to statistics and probability with notes on historical origins and 80 illustrative numerical examples organized in the five units: · Chapter 1 Descriptive Statistics: Compressing small samples, basic averages - mean and variance, their main properties including God’s proof; linear transformations and z-scored statistics . · Chapter 2 Grouped data: Udny Yule’s concept of qualitative and quantitative variables. Grouping these two kinds of data. Graphical tools. Combinatorial rules and qualitative variables. Designing frequency histogram. Direct and coded evaluation of quantitative data. Significance of percentiles. · Chapter 3 Regression and correlation: Geometrical distance and equivalent distances in two orthogonal directions as a prerequisite to the concept of two regression lines. Misleading in interpreting two regression lines. Derivation of the two regression lines. Was Hubble right? Houbolt’s cloud. What in fact measures the correlation coefficient? · Chapter 4 Binomial distribution: Middle ages origins of the binomials; figurate numbers and combinatorial rules. Pascal’s Arithmetical Triangle. Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials. How Newton taught S. Pepys probability. Jacob Bernoulli’s Weak Law of Large Numbers and others. · Chapter 5 Normal distribution and binomial heritage – Tables of the normal distribution. Abraham de Moivre and the second theorem of de Moivre-Laplace. · Chapter 1 Descriptive Statistics: Compressing small samples, basic averages - mean and variance, their main properties including God’s proof; linear transformations and z-scored statistics . · Chapter 2 Grouped data: Udny Yule’s concept of qualitative and quantitative variables. Grouping these two kinds of data. Graphical tools. Combinatorial rules and qualitative variables. Designing frequency histogram. Direct and coded evaluation of quantitative data. Significance of percentiles. · Chapter 3 Regression and correlation: Geometrical distance and equivalent distances in two orthogonal directions as a prerequisite to the concept of two regression lines. Misleading in interpreting two regression lines. Derivation of the two regression lines. Was Hubble right? Houbolt’s cloud. What in fact measures the correlation coefficient? · Chapter 4 Binomial distribution: Middle ages origins of the binomials; figurate numbers and combinatorial rules. Pascal’s Arithmetical Triangle. Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials. How Newton taught S. Pepys probability. Jacob Bernoulli’s Weak Law of Large Numbers and others. · Chapter 5 Normal distribution and binomial heritage – Tables of the normal distribution. Abraham de Moivre and the second theorem of de Moivre-Laplace. · Chapter 5 Normal distribution and binomial heritage – Tables of the normal distribution. Abraham de Moivre and the second theorem of de Moivre-Laplace.

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935

Author : Anders Hald
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 48,5 Mb
Release : 2008-08-24
Category : Mathematics
ISBN : 9780387464091

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A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by Anders Hald Pdf

This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation, sampling distributions; and the Fisherian Revolution. Lively biographical sketches of many of the main characters are featured throughout, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson. Also examined are the roles played by DeMoivre, James Bernoulli, and Lagrange.

The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis

Author : Jacob Bernoulli
Publisher : JHU Press
Page : 468 pages
File Size : 45,8 Mb
Release : 2006
Category : Mathematics
ISBN : 0801882354

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The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis by Jacob Bernoulli Pdf

"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."

Cavendish

Author : Christa Jungnickel,Russell McCormmach
Publisher : Bucknell University Press
Page : 844 pages
File Size : 49,9 Mb
Release : 1999
Category : Biography & Autobiography
ISBN : 0838754457

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Cavendish by Christa Jungnickel,Russell McCormmach Pdf

"The Cavendishes flourished during the high tide of British aristocracy following the revolution of 1688-89, and the case can be made that this aristocracy knew its finest hour when Henry Cavendish gently laid his delicate weights in the pan of his incomparable precision balance. For this it took two generations and two kinds of invention, one in social forms and the other in scientific technique. This biography tells how it came to pass."--BOOK JACKET.

Against the Gods

Author : Peter L. Bernstein
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 41,5 Mb
Release : 2012-09-11
Category : Business & Economics
ISBN : 9780470534533

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Against the Gods by Peter L. Bernstein Pdf

A Business Week, New York Times Business, and USA Today Bestseller "Ambitious and readable . . . an engaging introduction to the oddsmakers, whom Bernstein regards as true humanists helping to release mankind from the choke holds of superstition and fatalism." —The New York Times "An extraordinarily entertaining and informative book." —The Wall Street Journal "A lively panoramic book . . . Against the Gods sets up an ambitious premise and then delivers on it." —Business Week "Deserves to be, and surely will be, widely read." —The Economist "[A] challenging book, one that may change forever the way people think about the world." —Worth "No one else could have written a book of such central importance with so much charm and excitement." —Robert Heilbroner author, The Worldly Philosophers "With his wonderful knowledge of the history and current manifestations of risk, Peter Bernstein brings us Against the Gods. Nothing like it will come out of the financial world this year or ever. I speak carefully: no one should miss it." —John Kenneth Galbraith Professor of Economics Emeritus, Harvard University In this unique exploration of the role of risk in our society, Peter Bernstein argues that the notion of bringing risk under control is one of the central ideas that distinguishes modern times from the distant past. Against the Gods chronicles the remarkable intellectual adventure that liberated humanity from oracles and soothsayers by means of the powerful tools of risk management that are available to us today. "An extremely readable history of risk." —Barron's "Fascinating . . . this challenging volume will help you understand the uncertainties that every investor must face." —Money "A singular achievement." —Times Literary Supplement "There's a growing market for savants who can render the recondite intelligibly-witness Stephen Jay Gould (natural history), Oliver Sacks (disease), Richard Dawkins (heredity), James Gleick (physics), Paul Krugman (economics)-and Bernstein would mingle well in their company." —The Australian

Games, Gods, and Gambling

Author : Florence Nightingale David
Publisher : Courier Corporation
Page : 324 pages
File Size : 41,7 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0486400239

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Games, Gods, and Gambling by Florence Nightingale David Pdf

Episodes from the lives of Galileo, Fermat, Pascal, and others illustrate this fascinating account of the roots of mathematics. Features thought-provoking references to classics, archaeology, biography, poetry. 1962 edition.

An Annotated Timeline of Operations Research

Author : Saul I. Gass,Arjang A. Assad
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 47,8 Mb
Release : 2007-02-15
Category : Business & Economics
ISBN : 9781402081132

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An Annotated Timeline of Operations Research by Saul I. Gass,Arjang A. Assad Pdf

An Annotated Timeline of Operations Research: An Informal History recounts the evolution of Operations Research (OR) as a new science - the science of decision making. Arising from the urgent operational issues of World War II, the philosophy and methodology of OR has permeated the resolution of decision problems in business, industry, and government. The Timeline chronicles the history of OR in the form of self-contained, expository entries. Each entry presents a concise explanation of the events and people under discussion, and provides key sources where further relevant information can be obtained. In addition, books and papers that have influenced the development of OR or helped to educate the first generations of OR academics and practitioners are cited throughout the book. Starting in 1564 with seminal ideas that form the precursors of OR, the Timeline traces the key ideas and events of OR through 2004. The Timeline should interest anyone involved in OR - researchers, practitioners, academics, and, especially, students - who wish to learn how OR came into being. Further, the scope and expository style of the Timeline should make it of value to the general reader interested in the development of science and technology in the last half of the twentieth century.

The Lady Tasting Tea

Author : David Salsburg
Publisher : Henry Holt and Company
Page : 352 pages
File Size : 41,5 Mb
Release : 2002-05-01
Category : Mathematics
ISBN : 9781466801783

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The Lady Tasting Tea by David Salsburg Pdf

At a summer tea party in Cambridge, England, a lady states that tea poured into milk tastes differently than that of milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one guest, by the name Ronald Aylmer Fisher, proposes to scientifically test the lady's hypothesis. There was no better person to conduct such a test. For Fisher had brought to the field of statistics an emphasis on controlling the methods for obtaining data and the importance of interpretation. He knew that how the data was gathered and applied was as important as the data themselves. In The Lady Tasting Tea, readers will encounter not only Ronald Fisher's theories (and their repercussions), but the ideas of dozens of men and women whose revolutionary work affects our everyday lives. Writing with verve and wit, author David Salsburg traces the rise and fall of Karl Pearson's theories, explores W. Edwards Deming's statistical methods of quality control (which rebuilt postwar Japan's economy), and relates the story of Stella Cunliff's early work on the capacity of small beer casks at the Guinness brewing factory. The Lady Tasting Tea is not a book of dry facts and figures, but the history of great individuals who dared to look at the world in a new way.

The Early History of Financial Economics, 1478-1776

Author : Geoffrey Poitras
Publisher : Edward Elgar Publishing
Page : 552 pages
File Size : 48,7 Mb
Release : 2000
Category : Business & Economics
ISBN : STANFORD:36105028657778

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The Early History of Financial Economics, 1478-1776 by Geoffrey Poitras Pdf

Poitras (finance, Simon Fraser University) provides an account of the early development of financial economics and presents a foundation for the study of modern financial economics. The book chronicles the development of early financial economics, from the appearance of the first printed commercial arithmetic in 1478 to the publication of The Wealth of Nations in 1776. The origins of the subject are traced back to the commercial arithmetic of the Renaissance reckoning schools. The contributions of de Moivre, Halley, and Stevin are also discussed. Annotation copyrighted by Book News Inc., Portland, OR

Goedel's Way

Author : Gregory Chaitin,Francisco A Doria,Newton C.A. da Costa
Publisher : CRC Press
Page : 160 pages
File Size : 46,5 Mb
Release : 2011-10-14
Category : Mathematics
ISBN : 9781136587641

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Goedel's Way by Gregory Chaitin,Francisco A Doria,Newton C.A. da Costa Pdf

Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein’s general relativity, as he proved that Einstein’s theory allows for time machines. The Gödel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though; one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics and even ecology. In this lively treatise, based on Chaitin’s groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gödel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life. This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book’s writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences. See also: http://www.youtube.com/watch?v=REy9noY5Sg8