Description
Book Synopsis: This book, a concise introduction to modern probability theory and certain of its ramifications, deals with a subject indispensable to natural scientists and mathematicians alike. Here the readers, with some knowledge of mathematics, will find an excellent treatment of the elements of probability together with numerous applications. Professor Y. A. Rozanov, an internationally known mathematician whose work in probability theory and stochastic processes has received wide acclaim, combines succinctness of style with a judicious selection of topics. His book is highly readable, fast-moving, and self-contained. The author begins with basic concepts and moves on to combination of events, dependent events and random variables. He then covers Bernoulli trials and the De Moivre-Laplace theorem, which involve three important probability distributions (binomial, Poisson, and normal or Gaussian). The last three chapters are devoted to limit theorems, a detailed treatment of Markov chains, continuous Markov processes. Also included are appendixes on information theory, game theory, branching processes, and problems of optimal control. Each of the eight chapters and four appendixes has been equipped with numerous relevant problems (150 of them), many with hints and answers. This volume is another in the popular series of fine translations from the Russian by Richard A. Silverman. Dr. Silverman, a former member of the Courant Institute of Mathematical Sciences of New York University and the Lincoln Laboratory of the Massachusetts Institute of Technology, is himself the author of numerous papers on applied probability theory. He has heavily revised the English edition and added new material. The clear exposition, the ample illustrations and problems, the cross-references, index, and bibliography make this book useful for self-study or the classroom.
Details
Embark on a journey into the fascinating world of modern probability theory with Probability Theory: A Concise Course (Dover Books on Mathematics). This succinct yet comprehensive book by Professor Y. A. Rozanov is a must-have for both natural scientists and mathematicians. Dive into fundamental concepts, explore key probability distributions, and unravel complex topics such as Markov chains and continuous processes. With 150 problems to solve and detailed explanations, this book is a valuable resource for self-study or classroom use.
Professor Rozanov's book stands out for its clarity, readability, and self-contained nature. Whether you're looking to brush up on your probability skills or delve deeper into the subject, this book delivers a fast-moving and engaging learning experience. From basic concepts to advanced theories, Probability Theory offers a balanced mix of theory and application, ensuring a well-rounded understanding of the topic. Explore appendixes on information theory, game theory, and more to expand your knowledge beyond the core content.
Immerse yourself in a world of probability with Dover Books on Mathematics' Probability Theory: A Concise Course. Gain insights into dependent events, random variables, and limit theorems that shape the foundation of modern probability theory. With a comprehensive treatment of essential topics and practical examples, this book equips you with the tools needed to tackle challenging problems and explore real-world applications. Take your understanding of probability to new heights with this invaluable resource.
Ready to enhance your understanding of probability theory and stochastic processes? Don't miss out on the opportunity to delve into the rich content of Probability Theory: A Concise Course. Whether you're a budding mathematician or a seasoned scientist, this book offers a wealth of knowledge waiting to be explored. Take the next step in your learning journey with this exceptional book by Professor Y. A. Rozanov and elevate your understanding of probability theory today.
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