Numerical Methods (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	Numerical Recipes: The Art of Scientific Computing by William H. Press 4.32 avg rating — 158 ratings score: 490, 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	Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences, 3) by Gene H. Golub 4.26 avg rating — 149 ratings score: 371, 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
3	Numerical Analysis by Richard L. Burden 3.77 avg rating — 233 ratings score: 292, 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
3	Computational Geometry: Algorithms and Applications by Mark de Berg 4.17 avg rating — 168 ratings score: 292, 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
3	Numerical Linear Algebra by Lloyd N. Trefethen 4.28 avg rating — 148 ratings score: 292, 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
6	Numerical Optimization (Springer Series in Operations Research and Financial Engineering) by Jorge Nocedal 4.34 avg rating — 134 ratings score: 289, 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
7	Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory by Carl M. Bender 4.39 avg rating — 49 ratings score: 265, 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	Topics in Matrix Analysis by Roger A. Horn 4.35 avg rating — 17 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
9	Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics, 39) by Kendall E. Atkinson 4.30 avg rating — 20 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
10	Applications of Lie Groups to Differential Equations by Peter J. Olver 4.29 avg rating — 17 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
11	Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) by Philippe G. Ciarlet 4.50 avg rating — 12 ratings score: 241, 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	Numerical Analysis for Statisticians by Kenneth Lange 4.50 avg rating — 6 ratings score: 232, 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 Numerical Solution of Integral Equations of the Second Kind (Cambridge Monographs on Applied and Computational Mathematics, Series Number 4) by Kendall E. Atkinson 4.50 avg rating — 6 ratings score: 229, 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	Iterative Krylov Methods for Large Linear Systems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 13) by Henk A. van der Vorst 4.14 avg rating — 7 ratings score: 228, 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	Numerical Analysis by Walter Gautschi 4.17 avg rating — 6 ratings score: 227, 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	Matrix Analysis by Roger A. Horn 4.36 avg rating — 59 ratings score: 225, 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	A Student's Guide to Numerical Methods by I.H. Hutchinson 4.40 avg rating — 5 ratings score: 222, 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	The Theory of Composites (Cambridge Monographs on Applied and Computational Mathematics, Series Number 6) by Graeme W. Milton it was amazing 5.00 avg rating — 3 ratings score: 219, 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	Spectral Methods for Time-Dependent Problems by Jan S. Hesthaven 4.71 avg rating — 7 ratings score: 218, 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
20	Numerical Methods in Matrix Computations by Åke Björck 4.40 avg rating — 5 ratings score: 213, 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
21	Practical Extrapolation Methods: Theory and Applications (Cambridge Monographs on Applied and Computational Mathematics, Series Number 10) by Avram Sidi 4.25 avg rating — 4 ratings score: 208, 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
22	Greedy Approximation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 20) by Vladimir Temlyakov 4.67 avg rating — 3 ratings score: 205, 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
23	Methods of Numerical Integration by Philip J. Davis it was amazing 5.00 avg rating — 1 rating score: 204, 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
24	Scattered Data Approximation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 17) by Holger Wendland really liked it 4.00 avg rating — 3 ratings score: 201, 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
25	Approximation Algorithms by Vijay V. Vazirani 4.20 avg rating — 56 ratings score: 186, 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	Matrix analysis and applied linear algebra by Carl D. Meyer 4.30 avg rating — 57 ratings score: 183, 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	Numerical Analysis by Timothy Sauer 4.21 avg rating — 48 ratings score: 179, 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	An Introduction to Numerical Analysis by Kendall E. Atkinson 3.93 avg rating — 28 ratings score: 177, 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	A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15) by Arieh Iserles 3.95 avg rating — 22 ratings score: 175, 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	Theory of Point Estimation by Erich L. Lehmann 3.87 avg rating — 23 ratings score: 173, 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	Numerical Methods by Richard L. Burden 4.06 avg rating — 18 ratings score: 171, 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	Matrix Algebra: Theory, Computations, and Applications in Statistics by James E. Gentle 4.06 avg rating — 16 ratings score: 169, 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	Fundamentals of Matrix Computations by David S. Watkins 4.05 avg rating — 19 ratings score: 167, 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	Computational Geometry: An Introduction (Monographs in Computer Science) by Franco P. Preparata 4.10 avg rating — 20 ratings score: 161, 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
35	Applied Linear Algebra and Matrix Analysis by Thomas S. Shores 3.95 avg rating — 20 ratings score: 159, 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
36	Iterative Methods for Sparse Linear Systems by Yousef Saad 4.12 avg rating — 16 ratings score: 155, 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
37	Introduction to Numerical Analysis by Josef Stoer 4.13 avg rating — 15 ratings score: 151, 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
38	Numerical Methods that Work by Forman S. Acton 4.18 avg rating — 11 ratings score: 149, 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
39	Numerical Solution of Stochastic Differential Equations (Stochastic Modelling and Applied Probability, 23) by Peter E. Kloeden 3.92 avg rating — 12 ratings score: 147, 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
40	Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6) by E.J. Hinch really liked it 4.00 avg rating — 8 ratings score: 145, 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
41	Numerical Linear Algebra: An Introduction (Cambridge Texts in Applied Mathematics, Series Number 56) by Holger Wendland 3.62 avg rating — 8 ratings score: 141, 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
42	Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (Miscellaneous Titles in Applied Mathematics Series No 43) by Richard Barrett 3.60 avg rating — 5 ratings score: 133, 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
43	LAPACK Users' Guide by E. Anderson 3.60 avg rating — 5 ratings score: 131, 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
44	Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 7) by Herbert Edelsbrunner liked it 3.00 avg rating — 4 ratings score: 127, 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
45	Numerical Methods of Statistics (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 7) by John F. Monahan really liked it 4.00 avg rating — 4 ratings score: 121, 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
46	Numerical Methods in Physics with Python by Alex Gezerlis really liked it 4.00 avg rating — 4 ratings score: 119, 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
47	Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms, Series Number 2) by Timothy A. Davis really liked it 4.00 avg rating — 2 ratings score: 115, 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
48	A Practical Guide to Pseudospectral Methods (Cambridge Monographs on Applied and Computational Mathematics, Series Number 1) by Bengt Fornberg really liked it 4.00 avg rating — 3 ratings score: 113, 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
49	Simulating Hamiltonian Dynamics (Cambridge Monographs on Applied and Computational Mathematics, Series Number 14) by Benedict Leimkuhler really liked it 4.00 avg rating — 3 ratings score: 109, 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
50	Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide (Software, Environments and Tools, Series Number 11) by Zhaojun Bai really liked it 4.00 avg rating — 1 rating score: 103, 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
51	Matrix Analysis by Roger A. Horn 4.36 avg rating — 59 ratings score: 100, and 1 person 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
52	An Introduction to Numerical Analysis by Endre Süli 3.38 avg rating — 24 ratings score: 98, and 1 person 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