› › Probability Through Algebra

Probability through Algebra

Author : Bowen Kerins

Publisher : American Mathematical Soc.

Page : 172 pages

File Size : 18,79 MB

Release : 2015-10-02

Category : Education

ISBN : 1470419254

Get eBook

Book Description

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability through Algebra is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific themes developed in Probability through Algebra introduce readers to the algebraic properties of expected value and variance through analysis of games, to the use of generating functions and formal algebra as combinatorial tools, and to some applications of these ideas to questions in probabilistic number theory. Probability through Algebra is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.



Probability Through Problems

Author : Marek Capinski

Publisher : Springer Science & Business Media

Page : 262 pages

File Size : 10,26 MB

Release : 2013-06-29

Category : Mathematics

ISBN : 0387216596

Get eBook

Book Description

This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.



High-Dimensional Probability

Author : Roman Vershynin

Publisher : Cambridge University Press

Page : 299 pages

File Size : 14,24 MB

Release : 2018-09-27

Category : Business & Economics

ISBN : 1108415199

Get eBook

Book Description

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.



The Pleasures of Probability

Author : Richard Isaac

Publisher : Springer Science & Business Media

Page : 249 pages

File Size : 47,86 MB

Release : 2013-11-11

Category : Mathematics

ISBN : 146120819X

Get eBook

Book Description

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.



Understanding Probability

Author : Henk Tijms

Publisher : Cambridge University Press

Page : 407 pages

File Size : 23,74 MB

Release : 2007-07-26

Category : Mathematics

ISBN : 1139465457

Get eBook

Book Description

In this fully revised second edition of Understanding Probability, the reader can learn about the world of probability in an informal way. The author demystifies the law of large numbers, betting systems, random walks, the bootstrap, rare events, the central limit theorem, the Bayesian approach and more. This second edition has wider coverage, more explanations and examples and exercises, and a new chapter introducing Markov chains, making it a great choice for a first probability course. But its easy-going style makes it just as valuable if you want to learn about the subject on your own, and high school algebra is really all the mathematical background you need.



Linear Algebra and Probability for Computer Science Applications

Author : Ernest Davis

Publisher : CRC Press

Page : 431 pages

File Size : 33,49 MB

Release : 2012-05-02

Category : Mathematics

ISBN : 1466501596

Get eBook

Book Description

Based on the author's course at NYU, Linear Algebra and Probability for Computer Science Applications gives an introduction to two mathematical fields that are fundamental in many areas of computer science. The course and the text are addressed to students with a very weak mathematical background. Most of the chapters discuss relevant MATLAB functi



Algebra of Probable Inference

Author : Richard T. Cox

Publisher : Johns Hopkins University Press

Page : 0 pages

File Size : 36,6 MB

Release : 2001-12-15

Category : Mathematics

ISBN : 9780801869822

Get eBook

Book Description

In Algebra of Probable Inference, Richard T. Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency. Cox does so through a functional derivation of probability theory as the unique extension of Boolean Algebra thereby establishing, for the first time, the legitimacy of probability theory as formalized by Laplace in the 18th century. Perhaps the most significant consequence of Cox's work is that probability represents a subjective degree of plausible belief relative to a particular system but is a theory that applies universally and objectively across any system making inferences based on an incomplete state of knowledge. Cox goes well beyond this amazing conceptual advancement, however, and begins to formulate a theory of logical questions through his consideration of systems of assertions—a theory that he more fully developed some years later. Although Cox's contributions to probability are acknowledged and have recently gained worldwide recognition, the significance of his work regarding logical questions is virtually unknown. The contributions of Richard Cox to logic and inductive reasoning may eventually be seen to be the most significant since Aristotle.



Introduction to Probability

Author : David F. Anderson

Publisher : Cambridge University Press

Page : 447 pages

File Size : 40,8 MB

Release : 2017-11-02

Category : Mathematics

ISBN : 110824498X

Get eBook

Book Description

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.



Probability

Author : Rick Durrett

Publisher : Cambridge University Press

Page : pages

File Size : 50,53 MB

Release : 2010-08-30

Category : Mathematics

ISBN : 113949113X

Get eBook

Book Description

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.



The Algebra of Random Variables

Author : Melvin Dale Springer

Publisher : John Wiley & Sons

Page : 510 pages

File Size : 12,25 MB

Release : 1979

Category : Mathematics

ISBN :

Get eBook

Book Description

Differentiation and integration in the complex plane; The distribution of sums and differences of Random variables; The distribution of products and quotients of Random variables; The distribution of algebraic functions of independent Random variables; The distribution of algebraic functions of independent H-function variables; Analytical model for evaluation of the H-function inversion integral; Approximating the distribution of an algebraic function of independent random variables; Distribution problems in statistics.