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| Author | : Frederick Mosteller |
| Publisher | : Courier Corporation |
| Total Pages | : 100 |
| Release | : 2012-04-26 |
| Genre | : Mathematics |
| ISBN | : 0486134962 |
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.
| Author | : Marek Capinski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 262 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 0387216596 |
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 | : Albert N. Shiryaev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 432 |
| Release | : 2012-08-07 |
| Genre | : Mathematics |
| ISBN | : 1461436885 |
For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions, in addition to many new exercises. Most of the material in this book consists of exercises created by Shiryaev, collected and compiled over the course of many years while working on many interesting topics. Many of the exercises resulted from discussions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information. Lastly, the author has included an appendix at the end of the book that contains a summary of the main results, notation and terminology from Probability Theory that are used throughout the present book. This Appendix also contains additional material from Combinatorics, Potential Theory and Markov Chains, which is not covered in the book, but is nevertheless needed for many of the exercises included here.
| Author | : Joseph K. Blitzstein |
| Publisher | : CRC Press |
| Total Pages | : 599 |
| Release | : 2014-07-24 |
| Genre | : Mathematics |
| ISBN | : 1466575573 |
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.
| Author | : A. A. Sveshnikov |
| Publisher | : Courier Corporation |
| Total Pages | : 516 |
| Release | : 2012-04-30 |
| Genre | : Mathematics |
| ISBN | : 0486137562 |
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 | : Paul J. Nahin |
| Publisher | : Princeton University Press |
| Total Pages | : 288 |
| Release | : 2008 |
| Genre | : Computers |
| ISBN | : 9780691126982 |
A collection of twenty-one real-life probability puzzles and shows how to get numerical answers without having to solve complicated mathematical equations.
| Author | : Henk Tijms |
| Publisher | : Cambridge University Press |
| Total Pages | : 407 |
| Release | : 2007-07-26 |
| Genre | : Mathematics |
| ISBN | : 1139465457 |
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.
| Author | : T. Cacoullos |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 251 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461245265 |
The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.
| Author | : Dimitri Bertsekas |
| Publisher | : Athena Scientific |
| Total Pages | : 544 |
| Release | : 2008-07-01 |
| Genre | : Mathematics |
| ISBN | : 188652923X |
An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.
| Author | : Richard Isaac |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 249 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 146120819X |
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.
