Number Theory (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	An Introduction To The Theory Of Numbers by G.H. Hardy 4.34 avg rating — 208 ratings score: 652, and 7 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	A classical introduction to modern number theory by Kenneth F. Ireland 4.38 avg rating — 60 ratings score: 614, and 7 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	Rational Points on Elliptic Curves by Joseph H. Silverman 4.40 avg rating — 60 ratings score: 517, and 6 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	The Higher Arithmetic: An Introduction to the Theory of Numbers by Harold Davenport 4.30 avg rating — 44 ratings score: 510, and 6 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	A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7) by Jean-Pierre Serre 4.40 avg rating — 47 ratings score: 510, and 6 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	Elementary Number Theory by David M. Burton 4.23 avg rating — 225 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
7	Introduction to Analytic Number Theory by Tom M. Apostol 4.31 avg rating — 86 ratings score: 478, 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
8	Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics, 239) by Henri Cohen 4.54 avg rating — 13 ratings score: 423, 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
9	Multiplicative Number Theory (Graduate Texts in Mathematics, 74) by Harold Davenport 4.54 avg rating — 26 ratings score: 419, 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
10	A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228) (Graduate Texts in Mathematics, 228) by Fred Diamond 4.44 avg rating — 27 ratings score: 418, 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
11	Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Book 119) by David A. Cox 4.61 avg rating — 23 ratings score: 415, 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
12	Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics, 97) by Neal Koblitz 4.47 avg rating — 17 ratings score: 411, 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
13	Elements of Number Theory by John Stillwell 4.56 avg rating — 18 ratings score: 410, 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
13	Algebraic Number Theory (Grundlehren der mathematischen Wissenschaften, 322) by Jürgen Neukirch 4.52 avg rating — 25 ratings score: 410, 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
15	Topics in the Theory of Numbers by Paul Erdős 4.50 avg rating — 16 ratings score: 409, 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
16	Number Fields by Daniel A. Marcus 4.29 avg rating — 17 ratings score: 408, 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
16	Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240) by Henri Cohen 4.83 avg rating — 6 ratings score: 408, 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
18	Algebraic Number Theory by John William Scott Cassels (Editor) 4.73 avg rating — 15 ratings score: 399, 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
19	Number Theory (Dover Books on Mathematics) by George E. Andrews 4.08 avg rating — 266 ratings score: 392, 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
20	Essays on the Theory of Numbers (Dover Books on Mathematics) by Richard Dedekind 4.15 avg rating — 168 ratings score: 388, 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
21	Galois Theory, Fourth Edition by Ian Stewart 4.22 avg rating — 82 ratings score: 380, 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
22	The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 106) by Joseph H. Silverman 4.26 avg rating — 58 ratings score: 327, 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
23	Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics) by Terry Gannon 4.71 avg rating — 21 ratings score: 319, 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
24	Local Fields by Jean-Pierre Serre 4.75 avg rating — 16 ratings score: 311, 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
25	Elementary Number Theory by Charles Vanden Eynden 4.40 avg rating — 15 ratings score: 310, 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
25	Number Theory: An Approach Through History from Hammurapi to Legendre (Modern Birkhäuser Classics Series) by André Weil 4.45 avg rating — 11 ratings score: 310, 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
25	A Comprehensive Course in Number Theory by Alan Baker 4.58 avg rating — 12 ratings score: 310, 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
28	Number Theory in the Spirit of Ramanujan by Bruce C. Berndt 4.38 avg rating — 8 ratings score: 302, 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
29	Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) by Henri Cohen 4.40 avg rating — 5 ratings score: 301, 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
30	Algebraic Number Theory (Springer Undergraduate Mathematics Series) by Frazer Jarvis 4.57 avg rating — 7 ratings score: 295, 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
31	An Introduction to Mathematical Cryptography by Jeffrey Hoffstein 4.22 avg rating — 80 ratings score: 285, 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
32	An Introduction to the Theory of Numbers by Ivan Niven 4.14 avg rating — 66 ratings score: 276, 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
33	Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2) by Emil Artin 4.09 avg rating — 66 ratings score: 275, 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
34	Algebraic Number Theory and Fermat's Last Theorem by Ian Stewart 4.21 avg rating — 38 ratings score: 268, 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
35	A Concise Introduction to the Theory of Numbers by Alan Baker 4.36 avg rating — 11 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
36	Algebraic Number Theory (Graduate Texts in Mathematics, 110) by Serge Lang 4.12 avg rating — 16 ratings score: 240, 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
37	A Course in Galois Theory by D.J.H. Garling 4.20 avg rating — 10 ratings score: 211, 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
38	Basic Number Theory by André Weil 4.71 avg rating — 7 ratings score: 202, 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
39	Galois Cohomology by Jean-Pierre Serre really liked it 4.00 avg rating — 9 ratings score: 200, 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
40	A Course in Number Theory and Cryptography (Graduate Texts in Mathematics, 114) by Neal Koblitz 4.21 avg rating — 57 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
41	Galois Theory for Beginners: A Historical Perspective (Student Mathematical Library) by Jörg Bewersdorff really liked it 4.00 avg rating — 23 ratings score: 164, 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	A Course in Computational Algebraic Number Theory by Henri Cohen 4.30 avg rating — 20 ratings score: 160, 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	A Computational Introduction to Number Theory and Algebra by Victor Shoup 3.71 avg rating — 21 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
44	Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach by William Stein 3.71 avg rating — 17 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
45	Number Theory: A Very Short Introduction by Robin Wilson (Goodreads Author) (Editor) 3.80 avg rating — 64 ratings score: 138, 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	Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics, 50) by Harold M. Edwards really liked it 4.00 avg rating — 9 ratings score: 124, 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	Introduction to Algebraic and Abelian Functions (Graduate Texts in Mathematics, 89) by Serge Lang 4.17 avg rating — 6 ratings score: 122, 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	Elliptic Functions (Graduate Texts in Mathematics, Vol. 112) (Graduate Texts in Mathematics, 112) by Serge Lang 3.67 avg rating — 6 ratings score: 120, 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	An Introduction to the Langlands Program by S.S. Kudla (Contributor) 3.86 avg rating — 7 ratings score: 110, 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	A Primer of Analytic Number Theory: From Pythagoras to Riemann by Jeffrey Stopple 4.40 avg rating — 10 ratings score: 108, 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