Sign-In
Cart
Mathematical Foundations of Information Theory
Paperback
Series: Dover Books on Mathematics
General MathematicsHistory & Philosophy of Science
Publisher Price: $10.95
Please select the version of book you would like to purchase.
ISBN10: 0486604349
ISBN13: 9780486604343
Publisher: Dover Publications
Published: Jun 1 1957
Pages: 128
Weight: 0.32
Height: 0.30 Width: 5.74 Depth: 7.86
Language: English
ISBN13: 9780486604343
Publisher: Dover Publications
Published: Jun 1 1957
Pages: 128
Weight: 0.32
Height: 0.30 Width: 5.74 Depth: 7.86
Language: English
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 Shannon's 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. Feinstein's Fundamental Lemma. Coding. The first Shannon theorem. The second Shannon theorem.
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 Shannon's 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. Feinstein's Fundamental Lemma. Coding. The first Shannon theorem. The second Shannon theorem.
Also in
History & Philosophy of Science
The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures
Gutfreund, Hanoch
Renn, Jürgen
Hardcover
$66.00
The Darkness Manifesto: On Light Pollution, Night Ecology, and the Ancient Rhythms That Sustain Life
Eklöf, Johan
Hardcover
$12.99
The Mystery of Life Energy: Biofield Healing, Phantom Limbs, Group Energetics, and Gaia Consciousness
Leskowitz, Eric
Paperback
From $11.99
The Day It Finally Happens: Alien Contact, Dinosaur Parks, Immortal Humans--And Other Possible Phenomena
Pearl, Mike
Paperback
$19.00
The Self-Actualizing Cosmos: The Akasha Revolution in Science and Human Consciousness
Laszlo, Ervin
Paperback
From $9.99
The Agi Chronicles: The Inside Story of the Race to Create an Artificial Superintelligence
Roose, Kevin
Hardcover
$29.70
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
$28.80
I Told You So!: Scientists Who Were Ridiculed, Exiled, and Imprisoned for Being Right
Kaplan, Matt
Hardcover
From $17.99
Hidden Creatures: Luscious Leeches, Bashful Botflies, and the Wondrous, History-Shaping World of Parasites
Martins, Dino
Hardcover
$27.00
Why We Ask Why: The Science of Explanation and the Human Drive to Understand
Lombrozo, Tania
Hardcover
$27.00
The Earth Said Remember Me: How to Revive Our Memories and Restore the Planet
Mark, Jason Dove
Hardcover
$22.49
Prophecy: Prediction, Power, and the Fight for the Future, from Ancient Oracles to AI
Veliz, Carissa
Hardcover
$31.50
Other Minds: The Octopus, the Sea, and the Deep Origins of Consciousness
Godfrey-Smith, Peter
Paperback
$19.00
The Case for a Creator: A Journalist Investigates Scientific Evidence That Points Toward God
Strobel, Lee
Paperback
$18.99
Return of the God Hypothesis: Three Scientific Discoveries That Reveal the Mind Behind the Universe
Meyer, Stephen C.
Paperback
From $14.99
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Feynman, Richard P.
Leighton, Robert B.
Sands, Matthew
Paperback
From $10.99
Original Sin: On the Genetics of Vice, the Problem of Blame, and the Future of Forgiveness
Harden, Kathryn Paige
Hardcover
From $17.99
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
$28.50
Magnifica Humanitas: Encyclical on Safeguarding the Human Person in the Time of Artificial Intelligence
Prevost, Robert
Paperback
$18.99
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
$18.99
When Everyone Knows That Everyone Knows . . .: Common Knowledge and the Mysteries of Money, Power, and Everyday Life
Pinker, Steven
Hardcover
From $14.99
2084 and the AI Revolution, Updated and Expanded Edition: How Artificial Intelligence Informs Our Future
Lennox, John C.
Hardcover
$26.59
What Sheep Think about the Weather: How to Listen to What Animals Are Trying to Say
Thomas, Amelia
Paperback
$16.19
The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman
Feynman, Richard P.
Paperback
$18.04
Everything All at Once: How to Think Like a Science Guy, Solve Any Problem, and Make a Better World
Nye, Bill
Paperback
From $9.99
Notes on Complexity: A Scientific Theory of Connection, Consciousness, and Being
Theise, Neil
Paperback
$19.00
Unvaccinated Under God: Religion and Vaccine Hesitancy in Modern America
Kieffer, Kira Ganga
Hardcover
$44.93
When Everyone Knows That Everyone Knows . . .: Common Knowledge and the Mysteries of Money, Power, and Everyday Life
Pinker, Steven
Paperback
$19.80
Aristotle's Revenge: The Metaphysical Foundations of Physical and Biological Science
Feser, Edward
Paperback
$47.88
Technology and Barbarism: Or: How Billionaires Will Save Us from the End of the World
Nieva, Michel
Paperback
$18.00
(Super) Natural Science: The Real Science of Superheroes, Mythic Creatures, and the (Sci-Fi) Universe
Liu, Charles
Paperback
$23.70
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
$19.00
The Blind Spot: Why Science Cannot Ignore Human Experience
Thompson, Evan
Frank, Adam
Gleiser, Marcelo
Paperback
$23.70
The Real Anthony Fauci: Bill Gates, Big Pharma, and the Global War on Democracy and Public Health
Kennedy, Robert F., Jr.
Hardcover
$30.88
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Warner, Andy
Whiteson, Daniel
Hardcover
$26.99
Scientific Facts in the Bible: 100 Reasons to Believe the Bible is Supernatural in Origin
Comfort, Ray
Paperback
$8.54
The Darkness Manifesto: On Light Pollution, Night Ecology, and the Ancient Rhythms That Sustain Life
Eklöf, Johan
Paperback
From $11.99
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
$17.10
The Science of Last Things: Essays on Deep Time and the Boundaries of the Self
Wayland-Smith, Ellen
Paperback
$16.20
Living on Earth: Forests, Corals, Consciousness, and the Making of the World
Godfrey-Smith, Peter
Paperback
From $11.99
For Small Creatures Such as We: Rituals for Finding Meaning in Our Unlikely World
Sagan, Sasha
Paperback
$20.90
Return of the God Hypothesis: Three Scientific Discoveries That Reveal the Mind Behind the Universe
Meyer, Stephen C.
Hardcover
$30.88
Merchants of Doubt: How a Handful of Scientists Obscured the Truth on Issues from Tobacco Smoke to Climate Change
Conway, Erik M.
Oreskes, Naomi
Paperback
$18.99
Ignorance: What We Do Not Know, Cannot Know, Must Not Know, and Refuse to Know
Szpiro, George G.
Hardcover
$42.00
Everyday Extraordinary: A Scientist Ponders a Lifetime of Magical, Bizarre, and Paranormal Experiences
Markovsky, Barry
Hardcover
$28.45
Misguided: Where Misinformation Starts, How It Spreads, and What to Do about It
Facciani, Matthew
Paperback
$60.00
Finding Darwin's God: A Scientist's Search for Common Ground Between God and Evolution
Miller, Kenneth R.
Paperback
$18.04
Superconvergence: How the Genetics, Biotech, and AI Revolutions Will Transform Our Lives, Work, and World
Metzl, Jamie
Paperback
$20.89
The Skeptics' Guide to the Universe: How to Know What's Really Real in a World Increasingly Full of Fake
Novella, Steven
Paperback
From $9.99
The Passing of the Great Race: The Racial Basis of European History (With Original 1916 Illustrations in Full Color)
Grant, Madison
Hardcover
$28.11
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
From $9.99
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Paperback
$17.10
Until the End of Time: Mind, Matter, and Our Search for Meaning in an Evolving Universe
Greene, Brian
Paperback
From $11.99
War on Ivermectin: The Medicine That Saved Millions and Could Have Ended the Pandemic
Kory, Pierre
McCarthy, Jenna
Hardcover
$30.88
This Will Make You Smarter: New Scientific Concepts to Improve Your Thinking
Brockman, John
Paperback
$20.90
Moral AI: And How We Get There
Borg, Jana Schaich
Sinnott-Armstrong, Walter
Conitzer, Vincent
Paperback
$18.99
Meeting the Universe Halfway: Quantum Physics and the Entanglement of Matter and Meaning
Barad, Karen
Paperback
$48.93
Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics
Valentini, Antony
Hardcover
$50.75
The Battle for Your Brain: Defending the Right to Think Freely in the Age of Neurotechnology
Farahany, Nita
Paperback
$19.00
How We Became Posthuman: Virtual Bodies in Cybernetics, Literature, and Informatics
Hayles, N. Katherine
Paperback
$26.00
Forgotten Landscapes: How Native Americans Created Pre-Columbian North America and What We Can Learn from It
Rice, Stanley A.
Hardcover
$28.45
The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos
Jaffe, Andrew H.
Hardcover
$30.88