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Science & Mathematics - Counterexamples in Probability: Third Edition (Dover Books on Mathematics)

Description

Book Synopsis: Most mathematical examples illustrate the truth of a statement; conversely, counterexamples demonstrate a statement's falsity if changing the conditions. Mathematicians have always prized counterexamples as intrinsically enjoyable objects of study as well as valuable tools for teaching, learning, and research. This third edition of the definitive book on counterexamples in probability and stochastic processes presents the author's revisions and corrections in addition to a substantial new appendix.

Suitable as a supplementary source for advanced undergraduates and graduate courses in the field of probability and stochastic processes, this volume features a wide variety of topics that are challenging in both content and detail. The text consists of four chapters and twenty-five sections. Each section begins with short introductory notes of basic definitions and main results. Counterexamples related to the main results follow, along with motivation for questions and counterstatements that range in difficulty.

A familiarity with basic notions and results in probability and stochastic processes is assumed, and a chapter of supplementary remarks provides a wealth of information about original sources as well as references for further studies.

Details

Are you looking to strengthen your understanding of probability and stochastic processes? Look no further! Introducing the Counterexamples in Probability: Third Edition, an indispensable tool for advanced undergraduates and graduate students. This book goes beyond traditional textbooks by providing numerous counterexamples that challenge your knowledge and bring the subject matter to life. With its revised edition and a brand new appendix, this book is tailored to enhance your learning experience. Get ready to dive deep into the intricacies of probability theory and discover the valuable insights that only counterexamples can offer.

If you're tired of dry and mundane mathematics textbooks, this is the book for you. Illustrated with captivating and thought-provoking examples, Counterexamples in Probability: Third Edition serves as a breath of fresh air in the field of mathematics. These counterexamples not only make the study of probability more enjoyable but also help you grasp complex concepts effortlessly.

With four comprehensive chapters and twenty-five sections, this book covers a wide range of challenging topics in probability and stochastic processes. Each section begins with clear introductory notes and essential definitions before delving into carefully curated counterexamples that highlight the nuances of the subject matter. Whether you're studying independently or as part of a course, this book provides the supplementary material you need to truly master probability theory.

Don't miss out on this invaluable resource! To further your studies in probability and stochastic processes, click here to get your hands on the Counterexamples in Probability: Third Edition. Expand your knowledge and dive into the fascinating world of mathematical counterexamples today!

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