40 Puzzles And Problems In Probability And Mathematical Statistics

Author : Wolf Schwarz
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 40,8 Mb
Release : 2007-11-25
Category : Mathematics
ISBN : 9780387735122

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40 Puzzles and Problems in Probability and Mathematical Statistics by Wolf Schwarz Pdf

This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.

Author : Günther Kuhn,Herbert Mang
Publisher : Springer
Page : 472 pages
File Size : 44,5 Mb
Release : 1990-05-10
Category : Technology & Engineering
ISBN : 3540520112

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Discretization Methods in Structural Mechanics by Günther Kuhn,Herbert Mang Pdf

The advent of the digital computer has given great impetus to the development of modern discretization methods in structural mechanics. The young history of the finite element method (FEM) reflects the dramatic increase of computing speed and storage capacity within a relatively short period of time. The history of the boundary element method (BEM) is still younger. Presently, intense scientific efforts aimed at extending the range of application of the BEM can be observed. More than 10 years ago, O.C. Zienkiewicz and his co-workers published the first papers on the coupling of FE and BE discretizations of subregions of solids for the purpose of exploiting the complementary advantages of the two discretization methods and reducing their disadvantages. The FEM has revolutionized structural analysis in industry as well as academia. The BEM has a fair share in the continuation of this revolution. Both discretization methods have become a domain of vigorous, world-wide research activities. The rapid increase of the number of specialized journals and scientific meetings indicates the remarkable increase of research efforts in this important subdolll.ain of computational ulechanics. Several discussions of this situation in the Committee for Discretization Methods ill Solid Mechanics of the Society for Applied Mathematics and Mechanics (GAMM) resulted in the plan to submit a proposal to the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium.

Author : Frederick Mosteller
Publisher : Courier Corporation
Page : 100 pages
File Size : 44,7 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 9780486653556

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Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Pdf

Can you solve the problem of "The Unfair Subway"? Marvin gets off work at random times between 3 and 5 p.m. His mother lives uptown, his girlfriend downtown. He takes the first subway that comes in either direction and eats dinner with the one he is delivered to. His mother complains that he never comes to see her, but he says she has a 50-50 chance. He has had dinner with her twice in the last 20 working days. Explain. Marvin's adventures in probability are one of the fifty intriguing puzzles that illustrate both elementary ad advanced aspects of probability, each problem designed to challenge the mathematically inclined. From "The Flippant Juror" and "The Prisoner's Dilemma" to "The Cliffhanger" and "The Clumsy Chemist," they provide an ideal supplement for all who enjoy the stimulating fun of mathematics. Professor Frederick Mosteller, who teaches statistics at Harvard University, has chosen the problems for originality, general interest, or because they demonstrate valuable techniques. In addition, the problems are graded as to difficulty and many have considerable stature. Indeed, one has "enlivened the research lives of many excellent mathematicians." Detailed solutions are included. There is every probability you'll need at least a few of them.

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 341 pages
File Size : 41,7 Mb
Release : 2016-05-02
Category : Mathematics
ISBN : 9781118063255

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Classic Problems of Probability by Prakash Gorroochurn Pdf

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.

Author : Prabhanjan N. Tattar,Suresh Ramaiah,B. G. Manjunath
Publisher : John Wiley & Sons
Page : 696 pages
File Size : 48,7 Mb
Release : 2016-03-15
Category : Computers
ISBN : 9781119152736

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A Course in Statistics with R by Prabhanjan N. Tattar,Suresh Ramaiah,B. G. Manjunath Pdf

Integrates the theory and applications of statistics using R A Course in Statistics with R has been written to bridge the gap between theory and applications and explain how mathematical expressions are converted into R programs. The book has been primarily designed as a useful companion for a Masters student during each semester of the course, but will also help applied statisticians in revisiting the underpinnings of the subject. With this dual goal in mind, the book begins with R basics and quickly covers visualization and exploratory analysis. Probability and statistical inference, inclusive of classical, nonparametric, and Bayesian schools, is developed with definitions, motivations, mathematical expression and R programs in a way which will help the reader to understand the mathematical development as well as R implementation. Linear regression models, experimental designs, multivariate analysis, and categorical data analysis are treated in a way which makes effective use of visualization techniques and the related statistical techniques underlying them through practical applications, and hence helps the reader to achieve a clear understanding of the associated statistical models. Key features: Integrates R basics with statistical concepts Provides graphical presentations inclusive of mathematical expressions Aids understanding of limit theorems of probability with and without the simulation approach Presents detailed algorithmic development of statistical models from scratch Includes practical applications with over 50 data sets

Author : T M Mills
Publisher : World Scientific Publishing Company
Page : 192 pages
File Size : 54,6 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9789814551472

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Problems in Probability by T M Mills Pdf

This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability. Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general — including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.

Author : Jürgen Sander,Jörn Steuding,Rasa Steuding
Publisher : Springer
Page : 552 pages
File Size : 52,6 Mb
Release : 2016-12-29
Category : Mathematics
ISBN : 9783319282039

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From Arithmetic to Zeta-Functions by Jürgen Sander,Jörn Steuding,Rasa Steuding Pdf

This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

Author : A. A. Sveshnikov
Publisher : Courier Corporation
Page : 512 pages
File Size : 54,6 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137568

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Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by A. A. Sveshnikov Pdf

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Author : Aram Arutiunovich Sveshnikov,Bernard R. Gelbaum
Publisher : Unknown
Page : 481 pages
File Size : 50,9 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:799196604

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Problems in Probability Theory, Mathematical Statistics, and Theory of Random Functions by Aram Arutiunovich Sveshnikov,Bernard R. Gelbaum Pdf

Author : Marek Capinski,Tomasz Jerzy Zastawniak
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 50,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9780387216591

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Probability Through Problems by Marek Capinski,Tomasz Jerzy Zastawniak Pdf

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.

Author : Wolf Schwarz
Publisher : Springer Nature
Page : 218 pages
File Size : 50,5 Mb
Release : 2022-10-06
Category : Mathematics
ISBN : 9783031121005

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Random Walk and Diffusion Models by Wolf Schwarz Pdf

This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond their traditional origins in physics, for example, in studies of animal behavior, ecology, sociology, sports science, population genetics, public health applications, and human decision making. Developing the main formal concepts, the book provides detailed and intuitive step-by-step explanations, and moves smoothly from simple to more complex models. Finally, in the last chapter, some successful and original applications of random walk and diffusion models in the life and behavioral sciences are illustrated in detail. The treatment of basic techniques and models is consolidated and extended throughout by a set of carefully chosen exercises.

Author : Anonim
Publisher : Unknown
Page : 626 pages
File Size : 52,9 Mb
Release : 2008
Category : Academic libraries
ISBN : UOM:39015079680529

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Choice by Anonim Pdf

Author : Mary C. Meyer
Publisher : SIAM
Page : 707 pages
File Size : 40,7 Mb
Release : 2019-06-24
Category : Mathematics
ISBN : 9781611975789

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Probability and Mathematical Statistics: Theory, Applications, and Practice in R by Mary C. Meyer Pdf

This book develops the theory of probability and mathematical statistics with the goal of analyzing real-world data. Throughout the text, the R package is used to compute probabilities, check analytically computed answers, simulate probability distributions, illustrate answers with appropriate graphics, and help students develop intuition surrounding probability and statistics. Examples, demonstrations, and exercises in the R programming language serve to reinforce ideas and facilitate understanding and confidence. The book’s Chapter Highlights provide a summary of key concepts, while the examples utilizing R within the chapters are instructive and practical. Exercises that focus on real-world applications without sacrificing mathematical rigor are included, along with more than 200 figures that help clarify both concepts and applications. In addition, the book features two helpful appendices: annotated solutions to 700 exercises and a Review of Useful Math. Written for use in applied masters classes, Probability and Mathematical Statistics: Theory, Applications, and Practice in R is also suitable for advanced undergraduates and for self-study by applied mathematicians and statisticians and qualitatively inclined engineers and scientists.

Author : Dick Hess
Publisher : World Scientific
Page : 164 pages
File Size : 53,8 Mb
Release : 2016-03-11
Category : Mathematics
ISBN : 9789814733779

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The Population Explosion and Other Mathematical Puzzles by Dick Hess Pdf

Population Explosion and Other Mathematical Puzzles is a wonderful addition to Dr Dick Hess's previous successful books, Mental Gymnastics: Recreational Mathematical Puzzles, Golf on the Moon, (Dover Publishing, 2011 and 2014 respectively) and Number-Crunching Math Puzzles (Puzzlewright, 2013), a republication of All-Star Mathlete Puzzles (Sterling Publishing, 2009). In this latest volume, there are 116 recreational mathematical puzzles and problems that will challenge and entertain bright minds. They are mostly new problems on creative themes, encompassing a wide range of difficulty from amusing to complex. Intended to hone mathematical thinking skills and reasoning ability, solving the puzzles may require considerable perseverance. Open this book to find a captivating assortment of geometric, digital, logical, probability, analytical, physics and trapezoid puzzles. Find out what happens with jeeps in the desert and be amused or confused by some MathDice puzzles. While most of these puzzles can be solved by pencil and paper analysis, there are some that are best tackled with a computer to find a solution. Be prepared to keep your wits about you! Contents: Playful PuzzlesGeometric PuzzlesDigital PuzzlesLogical PuzzlesProbability PuzzlesAnalytical PuzzlesPhysics PuzzlesTrapezoid PuzzlesJeeps in the DesertMathDice Puzzles Readership: Students, general public, professionals. Key Features:Mostly new problemsCreative themesA wide range of difficulty from amusing to complex

Author : T. M. Mills
Publisher : World Scientific Publishing Company Incorporated
Page : 181 pages
File Size : 49,6 Mb
Release : 2014
Category : Mathematics
ISBN : 9814551457

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Problems in Probability by T. M. Mills Pdf

This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability. Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.