Information Theory and Communication (MMath)

MMath book lists:
00: General Mathematics *
01: History of Mathematics *
03: Logic and Set Theory *
05: Combinatorics and Graph Theory *
06: Order and Lattices
08: General Algebra *
11: Number Theory *
12: Field Theory
13: Commutative Algebra
14: Algebraic Geometry *
15: Linear Algebra *
16: Noncommutative Rings
17: Lie Algebras
18: Category Theory *
19: K-Theory
20: Group Theory *
22: Lie Groups *
26: Real Analysis *
28: Measure and Integration *
30: Complex Analysis *
31: Potential Theory
32: Several Complex Variables
33: Special Functions
34: Ordinary Differential Equations
35: Partial Differential Equations *
37: Dynamical Systems and Ergodic Theory
39: Difference Equations
40: Sequences and Series
41: Approximation Theory
42: Harmonic Analysis *
43: Abstract Harmonic Analysis
44: Integral Transforms
45: Integral Equations
46: Functional Analysis *
47: Operator Theory
49: Calculus of Variations and Optimal Control
51: Geometry *
52: Convex Geometry and Discrete Geometry
53: Differential Geometry *
54: General Topology *
55: Algebraic Topology *
57: Manifolds and Cell Complexes
58: Analysis on Manifolds *
60: Probability and Stochastic Processes *
62: Statistics and Statistical Learning *
65: Numerical Methods *
68: Theoretical Computer Science *
70: Classical Mechanics *
74: Mechanics of Deformable Solids
76: Fluid Dynamics
78: Electrodynamics
80: Thermal Physics
81: Quantum Physics *
82: Statistical Physics *
83: Relativity and Gravitation *
85: Astrophysics
86: Geophysics
90: Operational Research
91: Game Theory, Economics, Finance
92: Mathematical Biology
93: Control and Systems Theory
94: Information Theory and Communication *
97: Mathematics Education *

* indicates a significant topic in undergraduate mathematics

MSC2020 mathematics subject classifications:
https://mathscinet.ams.org/mathscinet...

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All Votes Add Books To This List

1	The Mathematical Theory of Communication by Claude Shannon 4.39 avg rating — 680 ratings score: 481, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
2	Quantum Computation and Quantum Information: 10th Anniversary Edition by Michael A. Nielsen 4.39 avg rating — 528 ratings score: 480, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
3	Information Theory, Inference, and Learning Algorithms by David J.C. MacKay 4.52 avg rating — 487 ratings score: 479, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
4	Quantum Information Theory by Mark Wilde 4.55 avg rating — 11 ratings score: 465, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
5	Elements of Information Theory 2nd Edition (Wiley Series in Telecommunications and Signal Processing) by Thomas M. Cover 4.20 avg rating — 319 ratings score: 386, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
6	Science and Information Theory by Léon Brillouin 4.70 avg rating — 10 ratings score: 358, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
7	An Introduction to Information Theory: Symbols, Signals and Noise (Dover Books on Mathematics) by John R. Pierce 3.90 avg rating — 795 ratings score: 300, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
8	Mathematical Foundations of Information Theory (Dover Books on Mathematics) by Aleksandr Yakovlevich Khinchin 3.92 avg rating — 24 ratings score: 284, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
9	Information Theory and Statistics (Dover Books on Mathematics) by Solomon Kullback 4.05 avg rating — 20 ratings score: 279, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
10	Methods of Information Geometry (Translations of Mathematical Monographs) (v. 191) by Shun-Ichi Amari 4.50 avg rating — 10 ratings score: 263, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
11	Network Information Theory by Abbas El Gamal 4.33 avg rating — 6 ratings score: 257, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
12	Quantum Information Theory and the Foundations of Quantum Mechanics (Oxford Philosophical Monographs) by Christopher G Timpson 3.50 avg rating — 10 ratings score: 256, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
13	The Mathematics of Signal Processing (Cambridge Texts in Applied Mathematics, Series Number 48) by Steven B. Damelin 4.50 avg rating — 6 ratings score: 255, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
14	Information Geometry and Its Applications (Applied Mathematical Sciences, 194) by Shun-Ichi Amari 4.57 avg rating — 7 ratings score: 250, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
15	Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods by Gregory S. Chirikjian really liked it 4.00 avg rating — 8 ratings score: 249, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
16	Information Geometry: Near Randomness and Near Independence (Lecture Notes in Mathematics, 1953) by Khadiga Arwini 4.67 avg rating — 3 ratings score: 244, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
17	Information Theoretic Learning: Renyi's Entropy and Kernel Perspectives by José C. Principe 4.50 avg rating — 2 ratings score: 237, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
18	A First Introduction to Quantum Computing and Information by Bernard Zygelman 4.50 avg rating — 2 ratings score: 234, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
19	Schaum’s Outline of Signals and Systems, 3rd Edition by Hwei P. Hsu 3.81 avg rating — 83 ratings score: 188, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
20	A First Course in Coding Theory (Oxford Applied Mathematics and Computing Science Series) by Raymond Hill 3.80 avg rating — 20 ratings score: 184, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
21	Coding and information theory by Richard Hamming 3.95 avg rating — 19 ratings score: 182, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
22	Coding and Information Theory (Graduate Texts in Mathematics, 134) by Steven Roman 3.94 avg rating — 18 ratings score: 180, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
23	Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning by Bob Coecke 4.30 avg rating — 27 ratings score: 176, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
24	Protecting Information: From Classical Error Correction to Quantum Cryptography by Susan Loepp 3.64 avg rating — 11 ratings score: 174, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
25	Introduction to Coding Theory (Graduate Texts in Mathematics, 86) by J.H. Van Lint 3.82 avg rating — 11 ratings score: 168, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
26	Probability and Information: An Integrated Approach by David Applebaum really liked it 4.00 avg rating — 6 ratings score: 166, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
27	A Student's Guide to Coding and Information Theory by Stefan M. Moser really liked it 4.00 avg rating — 9 ratings score: 158, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
28	Coding Theory: Algorithms, Architectures and Applications by André Neubauer 3.60 avg rating — 5 ratings score: 156, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
29	Introduction to Coding and Information Theory by Steven Roman 3.57 avg rating — 7 ratings score: 150, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
30	Entropy and Information Theory by Robert M. Gray really liked it 4.00 avg rating — 7 ratings score: 148, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
31	Modern Coding Theory by Tom Richardson really liked it 4.00 avg rating — 3 ratings score: 144, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
32	Information Geometry (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (v. 64) by Nihat Ay really liked it 4.00 avg rating — 1 rating score: 142, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
33	Quantum Information Theory: Mathematical Foundation by Masahito Hayashi 3.50 avg rating — 2 ratings score: 140, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
34	Information Criteria and Statistical Modeling (Springer Series in Statistics) by Sadanori Konishi really liked it 4.00 avg rating — 2 ratings score: 136, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars