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Functional Analysis (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...
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 |
|
Functional Analysis, Sobolev Spaces and Partial Differential Equations
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4.32 avg rating — 50 ratings
score: 537,
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6 people voted
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| 2 |
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Introductory Functional Analysis with Applications
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4.29 avg rating — 251 ratings
score: 478,
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5 people voted
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| 3 |
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Elements of the Theory of Functions and Functional Analysis (Dover Books on Mathematics)
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4.42 avg rating — 74 ratings
score: 445,
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5 people voted
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| 4 |
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Methods of Modern Mathematical Physics: Functional Analysis
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4.58 avg rating — 31 ratings
score: 440,
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5 people voted
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| 5 |
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An Introduction to Banach Space Theory
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4.69 avg rating — 13 ratings
score: 432,
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5 people voted
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| 6 |
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A Hilbert Space Problem Book (Graduate Texts in Mathematics, 19)
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4.43 avg rating — 14 ratings
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5 people voted
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| 7 |
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Elementary Functional Analysis (Graduate Texts in Mathematics, 253)
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4.50 avg rating — 6 ratings
score: 425,
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5 people voted
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| 8 |
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Functional Analysis
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4.31 avg rating — 103 ratings
score: 381,
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4 people voted
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| 8 |
|
A Course in Functional Analysis
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4.26 avg rating — 38 ratings
score: 381,
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4 people voted
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| 10 |
|
A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
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4.31 avg rating — 29 ratings
score: 357,
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4 people voted
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| 11 |
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Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis, 4)
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4.50 avg rating — 14 ratings
score: 347,
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4 people voted
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| 12 |
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A Course in Mathematical Analysis
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4.36 avg rating — 11 ratings
score: 342,
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4 people voted
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| 13 |
|
A Course in Abstract Analysis (Graduate Studies in Mathematics, Vol. 141) (Graduate Studies in Mathematics, 141)
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4.33 avg rating — 3 ratings
score: 340,
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4 people voted
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| 14 |
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An Introduction to Hilbert Space and Quantum Logic (Problem Books in Mathematics)
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4.43 avg rating — 7 ratings
score: 336,
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4 people voted
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| 15 |
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Topics in Banach Space Theory
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4.67 avg rating — 3 ratings
score: 334,
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4 people voted
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| 16 |
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Vector Analysis and Cartesian Tensors, Third edition
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3.86 avg rating — 7 ratings
score: 331,
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4 people voted
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| 17 |
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A Course in Mathematical Analysis (3 Volume Set)
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4.09 avg rating — 33 ratings
score: 285,
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3 people voted
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| 18 |
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Real and Functional Analysis (Graduate Texts in Mathematics, 142)
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3.82 avg rating — 34 ratings
score: 284,
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3 people voted
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| 19 |
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Undergraduate Analysis
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4.09 avg rating — 22 ratings
score: 277,
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3 people voted
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| 20 |
|
Linear Functional Analysis (Springer Undergraduate Mathematics Series)
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really liked it 4.00 avg rating — 14 ratings
score: 264,
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3 people voted
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| 21 |
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Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)
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4.71 avg rating — 21 ratings
score: 263,
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3 people voted
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| 22 |
|
Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics, 39)
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4.30 avg rating — 20 ratings
score: 260,
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3 people voted
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| 22 |
|
Linear Analysis: An Introductory Course (Cambridge Mathematical Textbooks)
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3.92 avg rating — 13 ratings
score: 260,
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3 people voted
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| 24 |
|
Fundamentals of Convex Analysis
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it was amazing 5.00 avg rating — 5 ratings
score: 245,
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3 people voted
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| 25 |
|
Introduction to Modern Analysis
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4.67 avg rating — 3 ratings
score: 243,
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3 people voted
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| 26 |
|
A Short Course on Banach Space Theory (London Mathematical Society Student Texts, Series Number 64)
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4.20 avg rating — 5 ratings
score: 242,
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3 people voted
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| 27 |
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Postmodern Analysis
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3.75 avg rating — 4 ratings
score: 241,
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3 people voted
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| 28 |
|
Functional Analysis and Infinite-Dimensional Geometry (CMS Books in Mathematics)
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4.50 avg rating — 2 ratings
score: 234,
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3 people voted
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| 29 |
|
Probability in Banach Spaces: Isoperimetry and Processes
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it was amazing 5.00 avg rating — 1 rating
score: 233,
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| 30 |
|
Partial Differential Equation Methods for Image Inpainting (Cambridge Monographs on Applied and Computational Mathematics)
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4.50 avg rating — 2 ratings
score: 226,
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| 31 |
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An Introduction to Functional Analysis
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4.75 avg rating — 4 ratings
score: 224,
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| 32 |
|
A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam (Operator Theory: Advances and Applications, 207)
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Sheldon Axler (Editor)
really liked it 4.00 avg rating — 1 rating
score: 216,
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3 people voted
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| 33 |
|
Schaums Outline of Tensor Calculus
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3.97 avg rating — 69 ratings
score: 196,
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2 people voted
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| 34 |
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An Introduction to Hilbert Space (Cambridge Mathematical Textbooks)
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really liked it 4.00 avg rating — 14 ratings
score: 176,
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| 35 |
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Functional Analysis (Grundlehren der mathematischen Wissenschaften, Vol. 123)
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4.15 avg rating — 13 ratings
score: 172,
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2 people voted
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| 36 |
|
Analysis
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3.69 avg rating — 16 ratings
score: 168,
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2 people voted
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| 37 |
|
Functional Analysis: An Introductory Course
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4.67 avg rating — 3 ratings
score: 138,
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2 people voted
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| 38 |
|
Geometry and Probability in Banach Spaces (Lecture Notes in Mathematics, 852)
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really liked it 4.00 avg rating — 1 rating
score: 132,
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| 39 |
|
Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds (Solid Mechanics and Its Applications, 230)
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3.50 avg rating — 2 ratings
score: 130,
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| 40 |
|
Functional Analysis, Calculus of Variations and Optimal Control (Graduate Texts in Mathematics, 264)
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3.50 avg rating — 2 ratings
score: 128,
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| 41 |
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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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| 42 |
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Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)
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| 43 |
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Introduction to Banach Spaces and Algebras
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| 44 |
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Quadratic Forms and Hecke Operators
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