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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 |
|
An Introduction to Manifolds
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4.56 avg rating — 77 ratings
score: 529,
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6 people voted
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| 2 |
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Topology from the Differentiable Viewpoint
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4.54 avg rating — 81 ratings
score: 430,
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5 people voted
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| 2 |
|
Introduction to Topological Manifolds (Graduate Texts in Mathematics, 202)
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4.53 avg rating — 66 ratings
score: 430,
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5 people voted
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| 4 |
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A Comprehensive Introduction to Differential Geometry, Volume 5
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4.52 avg rating — 25 ratings
score: 422,
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5 people voted
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| 5 |
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A Comprehensive Introduction to Differential Geometry, Volume 2
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4.66 avg rating — 38 ratings
score: 420,
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5 people voted
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| 6 |
|
A Panoramic View of Riemannian Geometry
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4.33 avg rating — 18 ratings
score: 419,
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5 people voted
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| 7 |
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A Comprehensive Introduction to Differential Geometry, Volume 3
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4.31 avg rating — 29 ratings
score: 417,
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5 people voted
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| 8 |
|
Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics, 275)
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4.42 avg rating — 12 ratings
score: 415,
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5 people voted
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| 9 |
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A Comprehensive Introduction to Differential Geometry, Volume 4
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4.33 avg rating — 21 ratings
score: 414,
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5 people voted
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| 10 |
|
Riemannian Geometry (Graduate Texts in Mathematics, 171)
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4.33 avg rating — 15 ratings
score: 411,
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5 people voted
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| 11 |
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Differential Geometry of Curves and Surfaces
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4.75 avg rating — 16 ratings
score: 403,
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5 people voted
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| 12 |
|
Comprehensive Introduction to Differential Geometry
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4.67 avg rating — 3 ratings
score: 396,
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5 people voted
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| 13 |
|
Differential Geometry (Dover Books on Mathematics)
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4.08 avg rating — 124 ratings
score: 381,
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4 people voted
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| 14 |
|
A Comprehensive Introduction to Differential Geometry, Vol. 1
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4.27 avg rating — 73 ratings
score: 362,
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4 people voted
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| 15 |
|
Einstein Manifolds
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3.71 avg rating — 7 ratings
score: 313,
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4 people voted
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| 16 |
|
First Steps in Differential Geometry: Riemannian, Contact, Symplectic
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4.22 avg rating — 9 ratings
score: 311,
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4 people voted
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| 17 |
|
Differential Geometry, Gauge Theories, and Gravity (Cambridge Monographs on Mathematical Physics)
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really liked it 4.00 avg rating — 10 ratings
score: 309,
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4 people voted
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| 18 |
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Differential Geometry of Curves and Surfaces
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4.07 avg rating — 115 ratings
score: 282,
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3 people voted
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| 19 |
|
Riemannian Geometry
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4.21 avg rating — 63 ratings
score: 273,
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3 people voted
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| 20 |
|
Introduction to Riemannian Manifolds (Graduate Texts in Mathematics Book 176)
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4.30 avg rating — 54 ratings
score: 270,
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3 people voted
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| 21 |
|
Differential Topology
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4.02 avg rating — 53 ratings
score: 269,
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3 people voted
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| 22 |
|
Elementary Differential Geometry
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4.04 avg rating — 51 ratings
score: 268,
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3 people voted
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| 23 |
|
Schaum's Outline of Differential Geometry (Schaum's Outline Series)
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4.11 avg rating — 37 ratings
score: 267,
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3 people voted
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| 24 |
|
A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
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4.31 avg rating — 29 ratings
score: 260,
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3 people voted
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| 25 |
|
The Concept of a Riemann Surface (Dover Books on Mathematics)
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4.06 avg rating — 16 ratings
score: 255,
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3 people voted
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| 26 |
|
Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics, Vol 5)
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4.70 avg rating — 20 ratings
score: 250,
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3 people voted
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| 26 |
|
Differential Geometry and Lie Groups for Physicists
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3.85 avg rating — 13 ratings
score: 250,
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3 people voted
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| 28 |
|
Riemannian Geometry and Geometric Analysis
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really liked it 4.00 avg rating — 8 ratings
score: 247,
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3 people voted
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| 29 |
|
Methods of Information Geometry (Translations of Mathematical Monographs) (v. 191)
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4.50 avg rating — 10 ratings
score: 242,
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3 people voted
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| 30 |
|
Riemannian Geometry
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4.12 avg rating — 8 ratings
score: 240,
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3 people voted
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| 31 |
|
Lectures on Riemann Surfaces
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4.44 avg rating — 9 ratings
score: 239,
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3 people voted
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| 31 |
|
Fundamentals of Differential Geometry (Graduate Texts in Mathematics, 191)
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3.86 avg rating — 7 ratings
score: 239,
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3 people voted
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| 33 |
|
Differential and Riemannian Manifolds (Graduate Texts in Mathematics, 160)
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3.67 avg rating — 6 ratings
score: 238,
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3 people voted
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| 34 |
|
Elementary Topics in Differential Geometry
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really liked it 4.00 avg rating — 11 ratings
score: 235,
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3 people voted
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| 35 |
|
Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
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really liked it 4.00 avg rating — 5 ratings
score: 226,
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| 36 |
|
Riemann Surfaces (Graduate Texts in Mathematics, 71)
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4.83 avg rating — 6 ratings
score: 223,
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3 people voted
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| 37 |
|
Information Geometry and Its Applications (Applied Mathematical Sciences, 194)
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4.57 avg rating — 7 ratings
score: 220,
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3 people voted
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| 38 |
|
Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics, Series Number 98)
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4.50 avg rating — 4 ratings
score: 219,
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3 people voted
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| 39 |
|
Differential Geometry of Curves and Surfaces
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4.20 avg rating — 5 ratings
score: 218,
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3 people voted
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| 40 |
|
Introduction to Differentiable Manifolds
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4.33 avg rating — 3 ratings
score: 216,
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3 people voted
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| 41 |
|
Sub-Riemannian Geometry: General Theory and Examples
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really liked it 4.00 avg rating — 1 rating
score: 211,
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3 people voted
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| 42 |
|
Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics, 115)
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4.17 avg rating — 6 ratings
score: 210,
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3 people voted
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| 43 |
|
Introduction to Smooth Manifolds (Graduate Texts in Mathematics, 218)
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4.46 avg rating — 145 ratings
score: 195,
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2 people voted
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| 44 |
|
Schaums Outline of Tensor Calculus
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3.97 avg rating — 69 ratings
score: 194,
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2 people voted
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| 44 |
|
Introduction to Riemannian Manifolds (Graduate Texts in Mathematics, 176)
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4.30 avg rating — 54 ratings
score: 194,
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2 people voted
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| 46 |
|
Riemann Surfaces
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4.38 avg rating — 8 ratings
score: 136,
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| 47 |
|
Heat Kernels and Dirac Operators
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3.80 avg rating — 5 ratings
score: 116,
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2 people voted
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| 48 |
|
Symplectic Geometry and Quantum Mechanics (Operator Theory: Advances and Applications, 166)
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3.33 avg rating — 3 ratings
score: 114,
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2 people voted
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| 49 |
|
An Introduction to Symplectic Geometry (Graduate Studies in Mathematics)
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2.50 avg rating — 2 ratings
score: 108,
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2 people voted
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| 50 |
|
Differential Geometry and Statistics (ISSN Book 48)
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really liked it 4.00 avg rating — 1 rating
score: 106,
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| 51 |
|
Introductory Lectures on Equivariant Cohomology: (AMS-204) (Annals of Mathematics Studies Book 3)
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really liked it 4.00 avg rating — 1 rating
score: 104,
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| 52 |
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Quantum Riemannian Geometry (Grundlehren der mathematischen Wissenschaften, 355)
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really liked it 4.00 avg rating — 4 ratings
score: 102,
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