Probability

For the Enthusiastic Beginner

Author: David Morin

Publisher: Createspace Independent Publishing Platform

ISBN: 9781523318674

Category: Probabilities

Page: 372

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This book is written for high school and college students learning about probability for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of probability come about. All of the standard introductory topics in probability are covered: combinatorics, the rules of probability, Bayes' theorem, expectation value, variance, probability density, common distributions, the law of large numbers, the central limit theorem, correlation, and regression. Calculus is not a prerequisite, although a few of the problems do involve calculus. These are marked clearly. The book features 150 worked-out problems in the form of examples in the text and solved problems at the end of each chapter. These problems, along with the discussions in the text, will be a valuable resource in any introductory probability course, either as the main text or as a helpful supplement.

Special Relativity

For the Enthusiastic Beginner

Author: David Morin

Publisher: N.A

ISBN: 9781542323512

Category:

Page: 270

View: 1199

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This book is written for high school and college students learning about special relativity for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of special relativity come about. All of the standard introductory topics in special relativity are covered: historical motivation, loss of simultaneity, time dilation, length contraction, velocity addition, Lorentz transformations, Minkowski diagrams, causality, Doppler effect, energy/momentum, collisions/decays, force, and 4-vectors. Additionally, the last chapter provides a brief introduction to the basic ideas of general relativity, including the equivalence principle, gravitational time dilation, and accelerating reference frames. The book features more than 100 worked-out problems in the form of examples in the text and solved problems at the end of each chapter. These problems, along with the discussions in the text, will be a valuable resource in any course on special relativity. The numerous examples also make this book ideal for self-study. Very little physics background is assumed (essentially none in the first half of the book). An intriguing aspect of special relativity is that it is challenging due to its inherent strangeness, as opposed to a heavy set of physics prerequisites. Likewise for the math prerequisite: calculus is used on a few occasions, but it is not essential to the overall flow of the book.

Problems and Solutions in Introductory Mechanics

Author: David J. Morin

Publisher: Createspace Independent Publishing Platform

ISBN: 9781482086928

Category: Science

Page: 352

View: 7663

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This problem book is ideal for high-school and college students in search of practice problems with detailed solutions. All of the standard introductory topics in mechanics are covered: kinematics, Newton's laws, energy, momentum, angular momentum, oscillations, gravity, and fictitious forces. The introduction to each chapter provides an overview of the relevant concepts. Students can then warm up with a series of multiple-choice questions before diving into the free-response problems which constitute the bulk of the book. The first few problems in each chapter are derivations of key results/theorems that are useful when solving other problems. While the book is calculus-based, it can also easily be used in algebra-based courses. The problems that require calculus (only a sixth of the total number) are listed in an appendix, allowing students to steer clear of those if they wish. Additional details: (1) Features 150 multiple-choice questions and nearly 250 free-response problems, all with detailed solutions. (2) Includes 350 figures to help students visualize important concepts. (3) Builds on solutions by frequently including extensions/variations and additional remarks. (4) Begins with a chapter devoted to problem-solving strategies in physics. (5) A valuable supplement to the assigned textbook in any introductory mechanics course.

Understanding Probability

Author: Henk Tijms

Publisher: Cambridge University Press

ISBN: 1139511076

Category: Mathematics

Page: N.A

View: 614

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Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third edition has been packed with even more exercises and examples and it includes new sections on Bayesian inference, Markov chain Monte-Carlo simulation, hitting probabilities in random walks and Brownian motion, and a new chapter on continuous-time Markov chains with applications. Here you will find all the material taught in an introductory probability course. The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus.

Introduction to Probability

Author: Charles Miller Grinstead,James Laurie Snell

Publisher: American Mathematical Soc.

ISBN: 0821894145

Category: Probabilities

Page: 510

View: 6659

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This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject. The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discussions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probability and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions. Features: Key ideas are developed in a somewhat leisurely style, providing a variety of interesting applications to probability and showing some nonintuitive ideas. Over 600 exercises provide the opportunity for practicing skills and developing a sound understanding of ideas. Numerous historical comments deal with the development of discrete probability. The text includes many computer programs that illustrate the algorithms or the methods of computation for important problems. The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory. --Zentralblatt MATH

Lady Luck

The Theory of Probability

Author: Warren Weaver

Publisher: Courier Corporation

ISBN: 0486150917

Category: Mathematics

Page: 400

View: 4698

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This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.

Weighing the Odds

A Course in Probability and Statistics

Author: David Williams

Publisher: Cambridge University Press

ISBN: 9780521006187

Category: Mathematics

Page: 547

View: 9556

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Advanced textbook; many examples and exercises, often with hints or solutions; code provided for computational examples and simulations.

Introduction to Classical Mechanics

With Problems and Solutions

Author: David Morin

Publisher: Cambridge University Press

ISBN: 1139468375

Category: Science

Page: N.A

View: 9370

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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.

The Little Purple Probability Book

Master the Thinking Skills to Succeed in Basic Probability

Author: Brandon Royal

Publisher: Maven Publishing

ISBN: 1897393679

Category: Mathematics

Page: 48

View: 1005

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Fine-tune your numerical mindset with a quantitative review that serves as a tool for perceiving probability in a new way. Whether you’re a high school student, college student, or a test-prep candidate, this book’s wealth of explanations and insights makes it a perfect learning companion. Enjoy the benefits of your own short course in probability: •Be able to think conceptually by understanding how key problems “fit” within the main topics of probability, permutations, combinations, and enumerations. *Master basic probability using a simple “flowchart” to identify the correct formulas. *Understand when to “add” probabilities and when to “multiply” probabilities. *Be able to distinguish between events that are independent versus not independent and events that are mutually exclusive versus not mutually exclusive. *Grasp key differences between permutations and combinations and look for key words such as “arrangements” or “selections” to indicate the correct problem type. *Solve tricky permutation problems that involve repeated letters or numbers. *Approach probability problems with a newfound confidence and competency. This book is focused on honing those thinking skills that are essential for mastering basic probability. Such thinking skills make it much more likely that a person will be able to understand the “how” and “why” of problem solving, approach the subject in a conceptual way, and grasp those key principles that act as themes to bind related problems. These skills combine the science of math with the art of numbers. “To get started in probability theory, all you need are a few basic principles. Here they are, clear and uncluttered, in a short, simple book that comes as a welcome breath of fresh air.” —Dr. Ian Stewart, author of 17 Equations That Changed the World and the Cabinet of Mathematical Curiosities

Introduction to Probability

Author: Joseph K. Blitzstein,Jessica Hwang

Publisher: CRC Press

ISBN: 1498759769

Category: Mathematics

Page: 596

View: 889

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Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Elementary Probability

Author: David Stirzaker

Publisher: Cambridge University Press

ISBN: 9781139441032

Category: Mathematics

Page: N.A

View: 5513

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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.

Probability Theory

A Concise Course

Author: Y. A. Rozanov

Publisher: Courier Corporation

ISBN: 0486321142

Category: Mathematics

Page: 148

View: 1179

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This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, and more. Includes 150 problems, many with answers.


Probability: A Lively Introduction

Author: Henk Tijms

Publisher: Cambridge University Press

ISBN: 1108418740

Category: Mathematics

Page: N.A

View: 8682

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Comprehensive, yet concise, this textbook is the go-to guide to learn why probability is so important and its applications.

Probability Theory

The Logic of Science

Author: E. T. Jaynes

Publisher: Cambridge University Press

ISBN: 1139435167

Category: Science

Page: N.A

View: 5961

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The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

Beginner's Luck

Author: Laura Pedersen

Publisher: Ballantine Reader's Circle

ISBN: 0345458303

Category: Fiction

Page: 336

View: 7289

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Sixteen-year-old Hallie Palmer answers an ad for a "yard person" to make enough money to buy a car, a job that brings her into the eccentric orbit of the Stockton family, who teach her a lesson in acceptance and being yourself.

A Student’s Guide to Bayesian Statistics

Author: Ben Lambert

Publisher: SAGE

ISBN: 1526418266

Category: Social Science

Page: 520

View: 6237

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Supported by a wealth of learning features, exercises, and visual elements as well as online video tutorials and interactive simulations, this book is the first student-focused introduction to Bayesian statistics. Without sacrificing technical integrity for the sake of simplicity, the author draws upon accessible, student-friendly language to provide approachable instruction perfectly aimed at statistics and Bayesian newcomers. Through a logical structure that introduces and builds upon key concepts in a gradual way and slowly acclimatizes students to using R and Stan software, the book covers: An introduction to probability and Bayesian inference Understanding Bayes' rule Nuts and bolts of Bayesian analytic methods Computational Bayes and real-world Bayesian analysis Regression analysis and hierarchical methods This unique guide will help students develop the statistical confidence and skills to put the Bayesian formula into practice, from the basic concepts of statistical inference to complex applications of analyses.

The Art of Mathematics

Coffee Time in Memphis

Author: Béla Bollobás

Publisher: Cambridge University Press

ISBN: 1139936662

Category: Mathematics

Page: N.A

View: 5381

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Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.

The Probability Lifesaver

All the Tools You Need to Understand Chance

Author: Steven J. Miller

Publisher: Princeton University Press

ISBN: 1400885388

Category: Mathematics

Page: 752

View: 6244

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The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous worked-out examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller

Publisher: Courier Corporation

ISBN: 0486134962

Category: Mathematics

Page: 88

View: 7823

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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.