the theory of probability explorations and applications

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The Theory Of Probability

Author : Santosh S. Venkatesh
ISBN : 9781107024472
Genre : Mathematics
File Size : 41. 8 MB
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From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.


Author : Robert P. Dobrow
ISBN : 9781118589441
Genre : Mathematics
File Size : 37. 14 MB
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An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications essential to obtaining a thorough understanding of probability. With real-life examples and thoughtful exercises from fields as diverse as biology, computer science, cryptology, ecology, public health, and sports, the book is accessible for a variety of readers. The book’s emphasis on simulation through the use of the popular R software language clarifies and illustrates key computational and theoretical results. Probability: With Applications and R helps readers develop problem-solving skills and delivers an appropriate mix of theory and application. The book includes: Chapters covering first principles, conditional probability, independent trials, random variables, discrete distributions, continuous probability, continuous distributions, conditional distribution, and limits An early introduction to random variables and Monte Carlo simulation and an emphasis on conditional probability, conditioning, and developing probabilistic intuition An R tutorial with example script files Many classic and historical problems of probability as well as nontraditional material, such as Benford’s law, power-law distributions, and Bayesian statistics A topics section with suitable material for projects and explorations, such as random walk on graphs, Markov chains, and Markov chain Monte Carlo Chapter-by-chapter summaries and hundreds of practical exercises Probability: With Applications and R is an ideal text for a beginning course in probability at the undergraduate level.

Mathematics Of Probability

Author : Daniel W. Stroock
ISBN : 9781470409074
Genre : Mathematics
File Size : 37. 88 MB
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This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes, including Brownian motion, and, finally, with martingales, both discrete and continuous parameter ones. The book is a self-contained introduction to probability theory and the measure theory required to study it.

Explorations In Monte Carlo Methods

Author : Ronald W. Shonkwiler
ISBN : 1489983791
Genre : Mathematics
File Size : 58. 40 MB
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Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems. Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material. This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics.

Probability Theory

Author : E. T. Jaynes
ISBN : 0521592712
Genre : Mathematics
File Size : 45. 42 MB
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Visual Complex Analysis

Author : Tristan Needham
ISBN : 0198534469
Genre : Mathematics
File Size : 23. 93 MB
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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.


Author : David Blatner
ISBN : 9780802778680
Genre : Science
File Size : 45. 32 MB
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In Spectrums, David Blatner blends narrative and illustration to illuminate the variety of spectrums that affect our lives every day: numbers, size, light, sound, heat, and time.There is actually surprisingly little in the universe that we can feel, touch, see, hear, or possibly even comprehend. It's not an easy task to stretch the mind to encompass both billions of years and billionths of seconds; the distance to Jupiter and the size of a proton; the tiny waves of visible light and gargantuan but invisible gamma rays; or the freezing point of Helium and the heat generated by the blast of an atom bomb. But exploring these far-reaching spectrums gives us invaluable perspective on our small but not insignificant place in the universe. With easy-to-read, engaging, and insightful observations, and brilliant photographs and diagrams, Blatner helps us "grok"--to understand intuitively--the six primary spectrums, making our daily lives richer and more meaningful through greater appreciation of the bizarre and beautiful world in which we live.

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