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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...
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...
Score
A book’s total score is based on multiple factors, including the number of people who have voted for it and how highly those voters ranked the book.
| 1 |
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Concrete Mathematics: A Foundation for Computer Science
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4.34 avg rating — 1,858 ratings
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| 2 |
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Generatingfunctionology
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4.60 avg rating — 68 ratings
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| 3 |
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Network Science
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Albert-László Barabási (Goodreads Author)
4.38 avg rating — 177 ratings
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4 people voted
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| 4 |
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The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization)
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4.58 avg rating — 50 ratings
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| 5 |
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Analytic Combinatorics
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4.42 avg rating — 33 ratings
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| 6 |
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Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
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4.19 avg rating — 32 ratings
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| 7 |
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Algebraic Graph Theory (Graduate Texts in Mathematics Book 207)
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4.41 avg rating — 22 ratings
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| 7 |
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Extremal Combinatorics: With Applications in Computer Science (Texts in Theoretical Computer Science. An EATCS Series)
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4.53 avg rating — 17 ratings
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| 9 |
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Principles and Techniques in Combinatorics
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4.62 avg rating — 34 ratings
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| 10 |
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Additive Combinatorics (Cambridge Studies in Advanced Mathematics, Series Number 105)
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4.53 avg rating — 19 ratings
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| 11 |
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Introduction to Graph Theory (Dover Books on Mathematics)
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4.09 avg rating — 606 ratings
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| 12 |
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Networks
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4.24 avg rating — 207 ratings
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| 13 |
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Introduction to Graph Theory
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3.98 avg rating — 177 ratings
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| 14 |
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Introduction to the Theory of Complex Systems
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4.37 avg rating — 46 ratings
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| 15 |
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Algebraic Graph Theory
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4.31 avg rating — 13 ratings
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| 16 |
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Algorithmic Graph Theory
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4.17 avg rating — 6 ratings
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| 17 |
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Counting: The Art of Enumerative Combinatorics
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4.17 avg rating — 6 ratings
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| 18 |
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Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72)
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4.60 avg rating — 5 ratings
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| 19 |
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Graph Colouring and the Probabilistic Method
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4.83 avg rating — 6 ratings
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| 20 |
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Enumerative Combinatorics
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4.33 avg rating — 6 ratings
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| 21 |
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Graph Theory with Algorithms and its Applications: In Applied Science and Technology
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4.75 avg rating — 4 ratings
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| 22 |
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Probability on Trees and Networks (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 42)
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4.40 avg rating — 5 ratings
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| 23 |
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Ramsey Theory on the Integers
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4.25 avg rating — 4 ratings
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| 24 |
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Schaum's Outline of Discrete Mathematics (Schaum's Outline Series)
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3.81 avg rating — 156 ratings
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2 people voted
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| 25 |
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Graph Theory (Graduate Texts in Mathematics, 173)
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4.05 avg rating — 98 ratings
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| 26 |
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Mathematics for Computer Science
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3.85 avg rating — 95 ratings
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| 27 |
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Introduction to Graph Theory
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3.73 avg rating — 70 ratings
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| 28 |
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Modern Graph Theory (Graduate Texts in Mathematics, 184)
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3.90 avg rating — 58 ratings
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| 29 |
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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory
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4.21 avg rating — 57 ratings
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| 30 |
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A First Course in Graph Theory (Dover Books on Mathematics)
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4.18 avg rating — 55 ratings
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| 31 |
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Combinatorics: A Very Short Introduction
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3.77 avg rating — 75 ratings
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| 32 |
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Graph Theory and Its Applications, Third Edition (Textbooks in Mathematics)
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4.15 avg rating — 40 ratings
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| 33 |
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Combinatorics and Graph Theory
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3.72 avg rating — 40 ratings
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| 34 |
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Graph Theory (Graduate Texts in Mathematics, 244)
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4.12 avg rating — 41 ratings
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| 35 |
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Combinatorics: Topics, Techniques, Algorithms
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3.97 avg rating — 30 ratings
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| 36 |
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Discrete Mathematics: Introduction to Mathematical Reasoning
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4.17 avg rating — 36 ratings
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| 37 |
|
Cambridge Studies in Advanced Mathematics, Volume 62: Enumerative Combinatorics, Volume 2
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4.08 avg rating — 12 ratings
score: 148,
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2 people voted
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| 38 |
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Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92)
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3.85 avg rating — 13 ratings
score: 146,
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2 people voted
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| 39 |
|
The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators
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Branko Grünbaum (Foreword)
4.33 avg rating — 12 ratings
score: 142,
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2 people voted
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| 40 |
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Random Graphs (Cambridge Studies in Advanced Mathematics, Series Number 73)
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3.78 avg rating — 9 ratings
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| 41 |
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Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics, 5)
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3.80 avg rating — 10 ratings
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| 42 |
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Ramsey Theory (Wiley Series in Discrete Mathematics and Optimization)
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3.88 avg rating — 8 ratings
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2 people voted
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| 43 |
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Invitation to Ergodic Theory (Student Mathematical Library, 42)
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4.20 avg rating — 5 ratings
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| 44 |
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Percolation
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3.86 avg rating — 7 ratings
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| 45 |
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Spectra of Graphs
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4.20 avg rating — 5 ratings
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| 46 |
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Algebraic Combinatorics: Walks, Trees, Tableaux, and More
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4.25 avg rating — 4 ratings
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| 47 |
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An Introduction to Ergodic Theory (Graduate Texts in Mathematics, 79)
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4.44 avg rating — 9 ratings
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| 48 |
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Percolation (Grundlehren der mathematischen Wissenschaften, 321)
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3.75 avg rating — 8 ratings
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| 49 |
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Topics in Topological Graph Theory (Encyclopedia of Mathematics and its Applications, Series Number 128)
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Lowell W. Beineke (Editor)
4.25 avg rating — 4 ratings
score: 108,
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| 50 |
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Probability on Graphs: Random Processes on Graphs and Lattices (Institute of Mathematical Statistics Textbooks Book 8)
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3.88 avg rating — 8 ratings
score: 104,
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