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Mathematical Foundations Of Information Theory (Dover Books On Mathematics)
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The First Comprehensive Introduction To Information Theory, This Book Places The Work Begun By Shannon And Continued By Mcmillan, Feinstein, And Khinchin On A Rigorous Mathematical Basis. For The First Time, Mathematicians, Statisticians, Physicists, Cyberneticists, And Communications Engineers Are Offered A Lucid, Comprehensive Introduction To This Rapidly Growing Field.In His First Paper, Dr. Khinchin Develops The Concept Of Entropy In Probability Theory As A Measure Of Uncertainty Of A Finite Scheme, And Discusses A Simple Application To Coding Theory. The Second Paper Investigates The Restrictions Previously Placed On The Study Of Sources, Channels, And Codes And Attempts To Give A Complete, Detailed Proof Of Both Shannon Theorems, Assuming Any Ergodic Source And Any Stationary Channel With A Finite Memory.Partial Contents: I. The Entropy Concept In Probability Theory Entropy Of Finite Schemes. The Uniqueness Theorem. Entropy Of Markov Chains. Application To Coding Theory. Ii. On The Fundamental Theorems Of Information Theory Two Generalizations Of Shannons Inequality. Three Inequalities Of Feinstein. Concept Of A Source. Stationarity. Entropy. Ergodic Sources. The E Property. The Martingale Concept. Noise. Anticipation And Memory. Connection Of The Channel To The Source. Feinsteins Fundamental Lemma. Coding. The First Shannon Theorem. The Second Shannon Theorem.
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- Q: How many pages does the book have? A: This book has one hundred twenty-eight pages. It offers a comprehensive introduction to the mathematical foundations of information theory.
- Q: What are the dimensions of the book? A: The book measures five point seventy-five inches in length, zero point thirty-one inches in width, and seven point eighty-seven inches in height. These dimensions make it portable and easy to handle.
- Q: What type of binding does this book use? A: This book is published in paperback binding. Paperback is lightweight and flexible, making it suitable for casual reading.
- Q: What topics does this book cover? A: This book covers foundational concepts in information theory, including entropy, coding theory, and the Shannon theorems. It's suitable for anyone interested in mathematics and communications.
- Q: Is this book suitable for beginners in information theory? A: Yes, this book is suitable for beginners. It provides a lucid and comprehensive introduction to complex topics in information theory.
- Q: What is the target audience for this book? A: The target audience includes mathematicians, statisticians, physicists, and communications engineers. It is designed for a wide range of professionals and students.
- Q: How do I store this book to keep it in good condition? A: Store this book in a cool, dry place away from direct sunlight. This will help preserve its quality and prevent any damage.
- Q: Can I read this book if I have no prior knowledge of information theory? A: Yes, you can read this book without prior knowledge. It starts with fundamental concepts and gradually progresses to more complex topics.
- Q: What is the author's background? A: The author, A. Ya. Khinchin, is known for his significant contributions to information theory and probability. His work provides a solid foundation for understanding the subject.
- Q: Does this book include exercises or problems to solve? A: No, this book does not include exercises or problems. It focuses primarily on theoretical concepts and explanations.
- Q: Is the book appropriate for academic study? A: Yes, the book is appropriate for academic study. It serves as a foundational text for courses in information theory and related fields.
- Q: What is the main focus of the book? A: The main focus of the book is to provide a rigorous mathematical foundation for information theory. It emphasizes key concepts like entropy and the Shannon theorems.
- Q: How does this book compare to other information theory texts? A: This book stands out for its comprehensive and rigorous approach. It is more mathematically focused compared to some other introductory texts.
- Q: Is there a glossary or index included in the book? A: Yes, the book includes an index. This helps readers easily locate specific topics and concepts within the text.
- Q: What are the significant contributions of the author to information theory? A: A. Ya. Khinchin developed key concepts such as entropy and contributed to the understanding of coding theory. His work is foundational in the field of information theory.