Real Analysis (MMath) (52 books)

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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1	Understanding Analysis by Stephen Abbott 4.48 avg rating — 451 ratings score: 605, 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	The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.) by J. Michael Steele 4.65 avg rating — 66 ratings score: 496, 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
3	How to Think About Analysis by Lara Alcock 4.36 avg rating — 188 ratings score: 487, 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	Div, Grad, Curl, and All That: An Informal Text on Vector Calculus by Harry M. Schey 4.24 avg rating — 812 ratings score: 444, 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
5	Principles of Mathematical Analysis by Walter Rudin 4.27 avg rating — 1,887 ratings score: 442, 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
6	Real and Complex Analysis (Higher Mathematics Series) by Walter Rudin 4.29 avg rating — 461 ratings score: 437, 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	Calculus by Michael Spivak 4.53 avg rating — 996 ratings score: 429, 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	Calculus: An Intuitive and Physical Approach by Morris Kline 4.33 avg rating — 321 ratings score: 414, 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	Analysis I by Terence Tao 4.55 avg rating — 182 ratings score: 404, 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	Real Analysis by N.L. Carothers 4.51 avg rating — 35 ratings score: 385, 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	A Course of Modern Analysis by Edmund Taylor Whittaker 4.55 avg rating — 22 ratings score: 375, 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	Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra by Tom M. Apostol 4.29 avg rating — 470 ratings score: 352, 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
13	Real Analysis (Classic Version) (Pearson Modern Classics for Advanced Mathematics Series) by H.L. Royden 3.99 avg rating — 342 ratings score: 350, 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
14	Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability by Tom M. Apostol 4.27 avg rating — 299 ratings score: 348, 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
14	Introduction to Real Analysis by Robert G. Bartle really liked it 4.00 avg rating — 308 ratings score: 348, 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
16	Vector Calculus by Jerrold E. Marsden 4.10 avg rating — 298 ratings score: 347, 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
17	A Course of Pure Mathematics by G.H. Hardy 4.21 avg rating — 183 ratings score: 345, 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
18	Mathematical Analysis by Tom M. Apostol 4.08 avg rating — 167 ratings score: 344, 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
18	Elementary Analysis: The Theory of Calculus by Kenneth A. Ross 3.88 avg rating — 177 ratings score: 344, 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
18	Calculus by Gilbert Strang 4.16 avg rating — 137 ratings score: 344, 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	Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds by Theodore Shifrin 4.18 avg rating — 17 ratings score: 330, 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	Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by John H. Hubbard 4.39 avg rating — 76 ratings score: 315, 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	Advanced Calculus by David Vernon Widder 4.14 avg rating — 58 ratings score: 314, 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	Analysis II by Terence Tao 4.57 avg rating — 82 ratings score: 314, 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	A First Course in Calculus by Serge Lang 4.36 avg rating — 59 ratings score: 314, 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
26	Mathematical Analysis I by Vladimir A. Zorich 4.54 avg rating — 57 ratings score: 312, 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
26	A Course in Mathematical Analysis (3 Volume Set) by D.J.H. Garling 4.09 avg rating — 33 ratings score: 312, 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	Vector Calculus by Paul C. Matthews 4.29 avg rating — 42 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
29	Introduction to Calculus and Analysis: Volume II by Richard Courant 4.38 avg rating — 24 ratings score: 300, 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	Differential and Integral Calculus, Vol. One by Richard Courant 4.55 avg rating — 22 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	Advanced Calculus: A Geometric View by James J. Callahan 4.31 avg rating — 16 ratings score: 289, 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
32	A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration by D.J.H. Garling 4.43 avg rating — 14 ratings score: 287, 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
33	Schaum's Outline of Vector Analysis by Murray R. Spiegel 4.04 avg rating — 172 ratings score: 272, 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	Introductory Real Analysis (Dover Books on Mathematics) by A.N. Kolmogorov 4.19 avg rating — 103 ratings score: 251, 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	Real Mathematical Analysis by Charles Chapman Pugh 4.08 avg rating — 108 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
36	Introduction to Calculus and Analysis: Volume I by Richard Courant 4.29 avg rating — 65 ratings score: 246, 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	Real Analysis: Measure Theory, Integration, and Hilbert Spaces by Elias M. Stein 4.25 avg rating — 83 ratings score: 245, 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	Introduction to Topology and Modern Analysis by George F. Simmons 4.33 avg rating — 69 ratings score: 245, 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	Schaum's outline of theory and problems of advanced calculus by Murray R. Spiegel 4.19 avg rating — 37 ratings score: 234, 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	Calculus of Several Variables by Serge Lang 4.12 avg rating — 34 ratings score: 231, 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
41	Schaum's Outline of Advanced Calculus (Schaum's Outline Series) by Robert C. Wrede 3.75 avg rating — 40 ratings score: 224, 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
42	Real and Functional Analysis (Graduate Texts in Mathematics, 142) by Serge Lang 3.82 avg rating — 34 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
43	Mathematical Analysis: A Straightforward Approach, 2nd Edition by Ken Binmore 3.91 avg rating — 23 ratings score: 221, 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
44	Undergraduate Analysis by Serge Lang 4.09 avg rating — 22 ratings score: 212, 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
45	Introduction to Real Analysis (Dover Books on Mathematics) by Michael J. Schramm 3.86 avg rating — 21 ratings score: 209, 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
46	A Radical Approach to Real Analysis (Mathematical Association of America Textbooks) by David M. Bressoud 4.18 avg rating — 22 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
47	Schaums Outline of Tensor Calculus by David C. Kay 3.97 avg rating — 69 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
48	Calculus by Howard Anton 4.20 avg rating — 153 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
49	Thomas' Calculus by Joel R. Hass 4.05 avg rating — 536 ratings score: 118, 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	Real Analysis and Probability (Cambridge Studies in Advanced Mathematics, Series Number 74) by R.M. Dudley 3.76 avg rating — 17 ratings score: 106, 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	Analysis by Elliott H. Lieb 3.76 avg rating — 17 ratings score: 102, 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
52	Calculus I - Summaries of Theory and Exercises Solved by Mercedes Orus Lacort (Goodreads Author) it was amazing 5.00 avg rating — 2 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