Big Books of 2026

Listopia > Mmath Book Lists

Calculus by Michael SpivakAlgebra by Paolo AluffiVisual Complex Analysis by Tristan NeedhamA Book of Abstract Algebra by Charles C. PinterPrinciples of Mathematical Analysis by Walter Rudin
Undergraduate Mathematics
571 books — 37 voters
An Introduction to Statistical Learning by Gareth JamesThe IMO Compendium by Dušan DjukićAlgebra by Paolo AluffiCalculus by Michael SpivakMoonshine beyond the Monster by Terry Gannon
Undergraduate Mathematics 4.50+
100 books — 28 voters

How to Prove It by Daniel J. VellemanNaive Set Theory by Paul R. HalmosOn Formally Undecidable Propositions of Principia Mathematica... by Kurt GödelHomotopy Type Theory by The Univalent Foundations P...Mathematical Logic by Stephen Cole Kleene
Logic and Set Theory (MMath)
55 books — 10 voters
Gravitation by Charles W. MisnerGeneral Relativity by Robert M. WaldGravitation and Cosmology by Steven WeinbergSpacetime and Geometry by Sean CarrollThe Large Scale Structure of Space-Time by Stephen W. Hawking
Relativity and Gravitation (MMath)
26 books — 9 voters

Game Theory by Michael MaschlerAn Introduction to Game Theory by Martin J. OsborneCourse In Game Theory by Martin J. OsborneGames and Decisions by R. Duncan LuceOn Numbers and Games by John H. Conway
Game Theory, Economics, Finance (MMath)
16 books — 9 voters
Proofs from THE BOOK by Martin AignerEuclid's Elements by EuclidMathematics and Its History by John StillwellA History of Mathematics by Victor J. KatzThe Works of Archimedes by Archimedes
History of Mathematics (MMath)
58 books — 8 voters

Topology by James R. MunkresA Course in Mathematical Analysis by D.J.H. GarlingCounterexamples in Topology by Lynn Arthur SteenGeneral Topology by Stephen WillardTopology; A First Course by James R. Munkres
General Topology (MMath)
37 books — 8 voters
The Elements of Statistical Learning by Trevor HastieStatistical Inference by George CasellaStatistical Rethinking by Richard McElreathMachine Learning by Kevin P. MurphyPrinciples of Statistics by M.G. Bulmer
Statistics and Statistical Learning (MMath)
67 books — 8 voters

The Princeton Companion to Mathematics by Timothy GowersMathematics by A.D. AleksandrovProofs from THE BOOK by Martin AignerEuclid's Elements by EuclidWhat Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant
General Mathematics (MMath)
50 books — 7 voters
An Introduction to Manifolds by Loring W. TuTopology from the Differentiable Viewpoint by John MilnorIntroduction to Topological Manifolds by John M. LeeA Comprehensive Introduction to Differential Geometry, Volume 5 by michael-spivakA Comprehensive Introduction to Differential Geometry, Volume 2 by michael-spivak
Differential Geometry (MMath)
52 books — 7 voters

Algebraic Topology by Allen HatcherTopology by James R. MunkresA Basic Course in Algebraic Topology by William S. MasseyIntroduction to Topological Manifolds by John M. LeeDifferential Forms in Algebraic Topology by Raoul Bott
Algebraic Topology (MMath)
42 books — 7 voters
Course of Theoretical Physics by L.D. LandauMathematical Methods of Classical Mechanics by Vladimir I. ArnoldClassical Mechanics by Charles P. Poole Jr.Classical Mechanics by John R. TaylorNonlinear Dynamics and Chaos by Steven H. Strogatz
Classical Mechanics (MMath)
21 books — 7 voters

Course of Theoretical Physics by L.D. LandauSolid State Physics by Neil W. AshcroftModern Classical Physics by Kip S. ThorneThe Theory of Composites by Graeme W. MiltonIntroduction to Solid State Physics by Charles Kittel
Mechanics of Deformable Solids (MMath)
7 books — 7 voters
An Album of Fluid Motion by Milton Van DykeAn Introduction to Fluid Dynamics by G.K. BatchelorModern Classical Physics by Kip S. ThorneCourse of Theoretical Physics by L.D. LandauACHESON by D.J. Acheson
Fluid Dynamics (MMath)
9 books — 7 voters

Classical Electrodynamics by John David JacksonCourse of Theoretical Physics by L.D. LandauIntroduction to Electrodynamics by David J. GriffithsA Student's Guide to Maxwell's Equations by Daniel FleischModern Electrodynamics by Andrew Zangwill
Electrodynamics (MMath)
11 books — 7 voters
Concepts in Thermal Physics by Stephen J. BlundellFundamentals of Statistical and Thermal Physics by Frederick ReifMolecular Driving Forces by Ken A. DillModern Classical Physics by Kip S. ThorneSimulating Hamiltonian Dynamics by Benedict Leimkuhler
Thermal Physics (MMath)
7 books — 7 voters

Principles of Quantum Mechanics by Ramamurti ShankarThe Principles of Quantum Mechanics by Paul A.M. DiracThe Quantum Theory of Fields by Steven WeinbergModern Quantum Mechanics by J.J. SakuraiAn Introduction To Quantum Field Theory by Michael E. Peskin
Quantum Physics (MMath)
51 books — 7 voters
Numerical Optimization by Jorge NocedalNetwork Science by Albert-László BarabásiDynamic Programming by Richard E. BellmanNetworks by M.E.J. NewmanDynamic Programming and Markov Processes by Ronald A. Howard
Operational Research (MMath)
7 books — 7 voters

Markov Decision Processes by Martin L. PutermanDynamic Probabilistic Systems, Volume I by Ronald A. HowardDynamic Probabilistic Systems, Volume II by Ronald A. HowardReinforcement Learning by Richard S. SuttonOptimal Control Theory by Donald E. Kirk
Control and Systems Theory (MMath)
24 books — 7 voters
The IMO Compendium by Dušan DjukićMathematical Mindsets by Jo BoalerThe Art of Problem Solving, Volume 1 by Sandor LehoczkyProblem-Solving Through Problems by Loren C. Larsonthe Art of Problem Solving, Volume 2 by Richard Rusczyk
Mathematics Education (MMath)
33 books — 7 voters

Gauge Fields, Knots and Gravity by John C BaezKnot Theory by Charles LivingstonTopology from the Differentiable Viewpoint by John MilnorIntroduction to Topological Manifolds by John M. LeeKnots and Quantum Gravity by John C. Baez
Manifolds and Cell Complexes (MMath)
9 books — 6 voters
Calculus on Manifolds by Michael SpivakAn Introduction to Manifolds by Loring W. TuDifferential Geometry by Erwin KreyszigAnalysis on Manifolds by James R. MunkresMultivariable Mathematics by Theodore Shifrin
Analysis on Manifolds (MMath)
51 books — 6 voters

Foundations of Modern Probability by Olav KallenbergProbability Theory by Achim KlenkeProbability Theory by E.T. JaynesAn Introduction to Probability Theory and Its Applications, V... by William FellerIntroduction to Probability by Joseph K. Blitzstein
Probability and Stochastic Processes (MMath)
50 books — 6 voters
Numerical Recipes by William H. PressMatrix Computations by Gene H. GolubNumerical Analysis by Richard L. BurdenComputational Geometry by Mark de BergNumerical Linear Algebra by Lloyd N. Trefethen
Numerical Methods (MMath)
52 books — 6 voters

Computational Complexity by Sanjeev AroraQuantum Computation and Quantum Information by Michael A. NielsenIntroduction to the Theory of Computation by Michael SipserThe Nature of Computation by Cristopher MooreIntroduction to Algorithms by Thomas H. Cormen
Theoretical Computer Science (MMath)
57 books — 6 voters
Statistical Physics of Fields by Mehran KardarCourse of Theoretical Physics by L.D. LandauSolid State Physics by Neil W. AshcroftStatistical Mechanics by R.K. PathriaStatistical Physics of Particles by Mehran Kardar
Statistical Physics (MMath)
22 books — 6 voters

An Introduction to Modern Stellar Astrophysics by Dale A. OstlieAn Introduction to Modern Astrophysics by Bradley W. CarrollIntroduction to Cosmology by Barbara RydenGravitation and Cosmology by Steven WeinbergCosmology by Steven Weinberg
Astrophysics (MMath)
11 books — 6 voters
Global Physical Climatology by Dennis L. HartmannThe Solid Earth by C.M.R. FowlerFundamentals of Geophysics by William LowrieWhole Earth Geophysics by Robert J. LilliePotential Theory in Gravity and Magnetic Applications by Richard J. Blakely
Geophysics (MMath)
5 books — 6 voters

Mathematical Biology II by James Dickson MurrayDynamical Systems in Neuroscience by Eugene M. IzhikevichMathematical Biology by James Dickson MurrayTopological Data Analysis for Genomics and Evolution by Raúl RabadánMathematical Models in Biology by Leah Edelstein-Keshet
Mathematical Biology (MMath)
12 books — 6 voters
The Mathematical Theory of Communication by Claude ShannonQuantum Computation and Quantum Information by Michael A. NielsenInformation Theory, Inference, and Learning Algorithms by David J.C. MacKayQuantum Information Theory by Mark WildeElements of Information Theory by Thomas M. Cover
Information Theory and Communication (MMath)
34 books — 6 voters

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