The Pleasures Of Probability

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The Pleasures of Probability

Author : Richard Isaac
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 49,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781461208198

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The Pleasures of Probability by Richard Isaac Pdf

The ideas of probability are all around us. Lotteries, casino gambling, the al most non-stop polling which seems to mold public policy more and more these are a few of the areas where principles of probability impinge in a direct way on the lives and fortunes of the general public. At a more re moved level there is modern science which uses probability and its offshoots like statistics and the theory of random processes to build mathematical descriptions of the real world. In fact, twentieth-century physics, in embrac ing quantum mechanics, has a world view that is at its core probabilistic in nature, contrary to the deterministic one of classical physics. In addition to all this muscular evidence of the importance of probability ideas it should also be said that probability can be lots of fun. It is a subject where you can start thinking about amusing, interesting, and often difficult problems with very little mathematical background. In this book, I wanted to introduce a reader with at least a fairly decent mathematical background in elementary algebra to this world of probabil ity, to the way of thinking typical of probability, and the kinds of problems to which probability can be applied. I have used examples from a wide variety of fields to motivate the discussion of concepts.

Introduction to Probability

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 53,7 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

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Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

Elementary Probability

Author : David Stirzaker
Publisher : Cambridge University Press
Page : 540 pages
File Size : 53,6 Mb
Release : 2003-08-18
Category : Mathematics
ISBN : 9781139441032

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Elementary Probability by David Stirzaker Pdf

Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.

The Pleasures of Counting

Author : Thomas William Körner
Publisher : Cambridge University Press
Page : 548 pages
File Size : 48,9 Mb
Release : 1996-12-05
Category : Mathematics
ISBN : 0521568234

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The Pleasures of Counting by Thomas William Körner Pdf

What is the connection between the outbreak of cholera in Victorian Soho, the Battle of the Atlantic, African Eve and the design of anchors? One answer is that they are all examples chosen by Dr Tom Körner to show how a little mathematics can shed light on the world around us, and deepen our understanding of it. Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding condescension. If you have ever wondered what it is that mathematicians do, and how they go about it, then read on. If you are a mathematician wanting to explain to others how you spend your working days (and nights), then seek inspiration here.

Bayesian Statistics the Fun Way

Author : Will Kurt
Publisher : No Starch Press
Page : 258 pages
File Size : 48,7 Mb
Release : 2019-07-09
Category : Mathematics
ISBN : 9781593279561

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Bayesian Statistics the Fun Way by Will Kurt Pdf

Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples. Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that. This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples. By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to: - How to measure your own level of uncertainty in a conclusion or belief - Calculate Bayes theorem and understand what it's useful for - Find the posterior, likelihood, and prior to check the accuracy of your conclusions - Calculate distributions to see the range of your data - Compare hypotheses and draw reliable conclusions from them Next time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.

Stochastics

Author : Hans-Otto Georgii
Publisher : Walter de Gruyter
Page : 381 pages
File Size : 51,7 Mb
Release : 2008-08-27
Category : Mathematics
ISBN : 9783110206760

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Stochastics by Hans-Otto Georgii Pdf

This book is a translation of the third edition of the well accepted German textbook 'Stochastik', which presents the fundamental ideas and results of both probability theory and statistics, and comprises the material of a one-year course. The stochastic concepts, models and methods are motivated by examples and problems and then developed and analysed systematically.

The Best Writing on Mathematics 2013

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 273 pages
File Size : 44,5 Mb
Release : 2014-01-19
Category : Mathematics
ISBN : 9781400847990

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The Best Writing on Mathematics 2013 by Mircea Pitici Pdf

The year's finest writing on mathematics from around the world, with a foreword by Nobel Prize–winning physicist Roger Penrose This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

The Concept of Probability in the Mathematical Representation of Reality

Author : Hans Reichenbach
Publisher : Full Circle
Page : 178 pages
File Size : 48,6 Mb
Release : 2008
Category : Mathematics
ISBN : STANFORD:36105131696804

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The Concept of Probability in the Mathematical Representation of Reality by Hans Reichenbach Pdf

The first English translation of Hans Reichenbach's lucid doctoral thesis sheds new light on how Kant's Critique of Pure Reason was understood in some quarters at the time. The source of several themes in his still influential The Direction of Time, the thesis shows Reichenbach's early focus on the interdependence of physics, probability, and epistemology.

Promoting Statistical Practice and Collaboration in Developing Countries

Author : O. Olawale Awe,Kim Love,Eric A. Vance
Publisher : CRC Press
Page : 741 pages
File Size : 46,6 Mb
Release : 2022-06-07
Category : Mathematics
ISBN : 9781000594416

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Promoting Statistical Practice and Collaboration in Developing Countries by O. Olawale Awe,Kim Love,Eric A. Vance Pdf

"Rarely, but just often enough to rebuild hope, something happens to confound my pessimism about the recent unprecedented happenings in the world. This book is the most recent instance, and I think that all its readers will join me in rejoicing at the good it seeks to do. It is an example of the kind of international comity and collaboration that we could and should undertake to solve various societal problems. This book is a beautiful example of the power of the possible. [It] provides a blueprint for how the LISA 2020 model can be replicated in other fields. Civil engineers, or accountants, or nurses, or any other profession could follow this outline to share expertise and build capacity and promote progress in other countries. It also contains some tutorials for statistical literacy across several fields. The details would change, of course, but ideas are durable, and the generalizations seem pretty straightforward. This book shows every other profession where and how to stand in order to move the world. I urge every researcher to get a copy!" —David Banks from the Foreword Promoting Statistical Practice and Collaboration in Developing Countries provides new insights into the current issues and opportunities in international statistics education, statistical consulting, and collaboration, particularly in developing countries around the world. The book addresses the topics discussed in individual chapters from the perspectives of the historical context, the present state, and future directions of statistical training and practice, so that readers may fully understand the challenges and opportunities in the field of statistics and data science, especially in developing countries. Features • Reference point on statistical practice in developing countries for researchers, scholars, students, and practitioners • Comprehensive source of state-of-the-art knowledge on creating statistical collaboration laboratories within the field of data science and statistics • Collection of innovative statistical teaching and learning techniques in developing countries Each chapter consists of independent case study contributions on a particular theme that are developed with a common structure and format. The common goal across the chapters is to enhance the exchange of diverse educational and action-oriented information among our intended audiences, which include practitioners, researchers, students, and statistics educators in developing countries.

Fifty Challenging Problems in Probability with Solutions

Author : Frederick Mosteller
Publisher : Courier Corporation
Page : 88 pages
File Size : 41,6 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486134963

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Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Pdf

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

The Pleasures of Statistics

Author : Frederick Mosteller
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 44,9 Mb
Release : 2010-03-10
Category : Mathematics
ISBN : 9780387779560

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The Pleasures of Statistics by Frederick Mosteller Pdf

From his unique perspective, renowned statistician and educator Frederick Mosteller describes many of the projects and events in his long career. From humble beginnings in western Pennsylvania to becoming the founding chairman of Harvard University’s Department of Statistics and beyond, he inspired many statisticians, scientists, and students with his unabashed pragmatism, creative thinking, and zest for both learning and teaching. This candid account offers fresh insights into the qualities that made Mosteller a superb teacher, a prolific scholar, a respected leader, and a valued advisor. A special feature of the book is its chapter-length insider accounts of work on the pre-election polls of 1948, statistical aspects of the Kinsey report on sexual behavior in the human male, mathematical learning theory, authorship of the disputed Federalist papers, safety of anesthetics, and a wide-ranging examination of the Coleman report on equality of educational opportunity. This volume is a companion to Selected Papers of Frederick Mosteller (Springer, 2006) and A Statistical Model: Frederick Mosteller’s Contributions to Statistics, Science, and Public Policy (Springer-Verlag, 1990). Frederick Mosteller (1916–2006) was Roger I. Lee Professor of Mathematical Statistics at Harvard University. His manuscript was unfinished at his death and has been updated.

An Introduction to Financial Option Valuation

Author : Desmond J. Higham
Publisher : Cambridge University Press
Page : 300 pages
File Size : 45,9 Mb
Release : 2004-04-15
Category : Business & Economics
ISBN : 0521547571

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An Introduction to Financial Option Valuation by Desmond J. Higham Pdf

A textbook providing an introduction to financial option valuation for undergraduates. Solutions available from [email protected].

Don't Bet the Farm

Author : Liam O'Brien
Publisher : eBook Partnership
Page : 1060 pages
File Size : 48,8 Mb
Release : 2014-09-01
Category : Games & Activities
ISBN : 9781783013715

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Don't Bet the Farm by Liam O'Brien Pdf

The most comprehensive reference book on betting and gambling on the market with over 1200 cross referenced entries. It explores the history, systems, theory, law, word origins and slang as well the scandals, scams and the huge array of unforgettable characters and audacious coups.

Mathematics: A Concise History and Philosophy

Author : W.S. Anglin
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208754

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Mathematics: A Concise History and Philosophy by W.S. Anglin Pdf

This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.

Calculus: A Liberal Art

Author : W.M. Priestley
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461216582

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Calculus: A Liberal Art by W.M. Priestley Pdf

Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.