E: Harold Saunders F&Cfc,Pickaway Report.Wpd: Fill & Download for Free

The full list of books that were made available for free. Please note that the publisher has revoked access and these books are no longer available for free.Graduate Texts in Mathematicsduplicate = multiple editionsA Classical Introduction to Modern Number Theory, Kenneth Ireland Michael RosenA Classical Introduction to Modern Number Theory, Kenneth Ireland Michael RosenA Course in Arithmetic, Jean-Pierre SerreA Course in Computational Algebraic Number Theory, Henri CohenA Course in Differential Geometry, Wilhelm KlingenbergA Course in Functional Analysis, John B. ConwayA Course in Homological Algebra, P. J. Hilton U. StammbachA Course in Homological Algebra, Peter J. Hilton Urs StammbachA Course in Mathematical Logic, Yu. I. ManinA Course in Number Theory and Cryptography, Neal KoblitzA Course in Number Theory and Cryptography, Neal KoblitzA Course in Simple-Homotopy Theory, Marshall M. CohenA Course in p-adic Analysis, Alain M. RobertA Course in the Theory of Groups, Derek J. S. RobinsonA Course in the Theory of Groups, Derek J. S. RobinsonA Course on Borel Sets, S. M. SrivastavaA Course on Borel Sets, S. M. SrivastavaA First Course in Noncommutative Rings, T. Y. LamA First Course in Noncommutative Rings, T. Y. LamA Hilbert Space Problem Book, P. R. HalmosA Hilbert Space Problem Book, Paul R. HalmosA Short Course on Spectral Theory, William ArvesonAdditive Number Theory, Melvyn B. NathansonAdvanced Linear Algebra, Steven RomanAdvanced Mathematical Analysis, Richard BealsAdvanced Topics in Computational Number Theory, Henri CohenAdvanced Topics in the Arithmetic of Elliptic Curves, Joseph H. SilvermanAlgebra, Serge LangAlgebra, Thomas W. HungerfordAlgebra, William A. Adkins Steven H. WeintraubAlgebraic Functions and Projective Curves, David M. GoldschmidtAlgebraic Geometry, Joe HarrisAlgebraic Geometry, Robin HartshorneAlgebraic Graph Theory, Chris Godsil Gordon RoyleAlgebraic Groups and Class Fields, Jean-Pierre SerreAlgebraic K-Theory and Its Applications, Jonathan RosenbergAlgebraic Number Theory, Serge LangAlgebraic Number Theory, Serge LangAlgebraic Theories, Ernest G. ManesAlgebraic Topology, William FultonAn Algebraic Introduction to Mathematical Logic, Donald W. Barnes John M. MackAn Introduction to Algebraic Topology, Joseph J. RotmanAn Introduction to Analysis, Arlen Brown Carl PearcyAn Introduction to Banach Space Theory, Robert E. MegginsonAn Introduction to Convex Polytopes, Arne BrondstedAn Introduction to Knot Theory, W. B. Raymond LickorishAn Introduction to Riemann-Finsler Geometry, D. Bao S.-S. Chern Z. ShenAn Introduction to the Theory of Groups, Joseph J. RotmanAn Invitation to C*-Algebras, William ArvesonAnalysis Now, Gert K. PedersenAnalysis for Applied Mathematics, Ward CheneyAnalytic Number Theory, Donald J. NewmanApplications of Lie Groups to Differential Equations, Peter J. OlverAssociative Algebras, Richard S. PierceAxiomatic Set Theory, Gaisi Takeuti Wilson M. ZaringBanach Algebra Techniques in Operator Theory, Ronald G. DouglasBanach Algebras and Several Complex Variables, John WermerBasic Homological Algebra, M. Scott OsborneBasic Theory of Algebraic Groups and Lie Algebras, Gerhard P. HochschildBrownian Motion and Stochastic Calculus, Ioannis Karatzas Steven E. ShreveBrownian Motion and Stochastic Calculus, Ioannis Karatzas Steven E. ShreveCategories for the Working Mathematician, Saunders Mac LaneCategories for the Working Mathematician, Saunders Mac LaneClassical Descriptive Set Theory, Alexander S. KechrisClassical Topics in Complex Function Theory, Reinhold RemmertClassical Topology and Combinatorial Group Theory, Dr. John StillwellClassical Topology and Combinatorial Group Theory, John StillwellCohomology of Groups, Kenneth S. BrownCombinatorial Convexity and Algebraic Geometry, Gunter EwaldCombinatorics with Emphasis on the Theory of Graphs, Jack E. Graver Mark E. WatkinsCommutative Algebra, David EisenbudCommutative Algebra, Oscar Zariski Pierre SamuelComplex Analysis, Serge LangComplex Analysis, Serge LangComplex Analysis, Serge LangComplex Variables, Carlos A. Berenstein Roger GayComputability, Douglas S. BridgesConvex Polytopes, Volker Kaibel Victor Klee Gunter M. ZieglerCyclotomic Fields I and II, Serge LangCyclotomic Fields II, Serge LangCyclotomic Fields, Dr. Serge LangDenumerable Markov Chains, John G. Kemeny J. Laurie Snell Anthony W. KnappDifferential Analysis on Complex Manifolds, R. O. Wells Jr.Differential Forms in Algebraic Topology, Raoul Bott Loring W. TuDifferential Geometry: Manifolds, Curves, and Surfaces, Marcel Berger Bernard GostiauxDifferential Topology, Morris W. HirschDifferential and Riemannian Manifolds, Serge LangDiophantine Geometry, Marc Hindry Joseph H. SilvermanElementary Algebraic Geometry, Dr. Keith KendigElementary Methods in Number Theory, Melvyn B. NathansonElements of Functional Analysis, Francis Hirsch Gilles LacombeElements of Homotopy Theory, George W. Whitehead Professor EmeritusElliptic Curves, Dale HusemollerElliptic Curves, Dale HusemollerElliptic Functions, Serge LangFibre Bundles, Dale HusemollerFibre Bundles, Dale HusemollerField Theory, Steven RomanField and Galois Theory, Patrick MorandiFinite Reflection Groups, L. C. Grove C. T. BensonFoundations of Differentiable Manifolds and Lie Groups, Frank W. WarnerFoundations of Hyperbolic Manifolds, John G. RatcliffeFoundations of Real and Abstract Analysis, Douglas S. BridgesFourier Analysis and Its Applications, S. Axler F. W. Gehring K. A. RibetFourier Analysis on Number Fields, Dinakar Ramakrishnan Robert J. ValenzaFourier Series, R. E. EdwardsFourier Series, R. E. EdwardsFrom Holomorphic Functions to Complex Manifolds, Klaus Fritzsche Hans GrauertFunctions of One Complex Variable I, John B. ConwayFunctions of One Complex Variable II, John B. ConwayFunctions of One Complex Variable, John B. ConwayFundamentals of Differential Geometry, Serge LangGalois Theory, Jean-Pierre EscofierGeneral Relativity for Mathematicians, Dr. Rainer K. Sachs Dr. Hung-Hsi WuGeometric Functional Analysis and its Applications, Richard B. HolmesGeometric Topology in Dimensions 2 and 3, Edwin E. MoiseGraph Theory, Bela BollobasGrobner Bases, Thomas Becker Volker WeispfenningGroups and Representations, J. L. Alperin Rowen B. BellHarmonic Analysis on Semigroups, Christian Berg Jens Peter Reus Christensen Paul ResselHarmonic Function Theory, Sheldon Axler Paul Bourdon Wade RameyHarmonic Function Theory, Sheldon Axler Paul Bourdon Wade RameyHolomorphic Functions and Integral Representations in Several Complex Variables, R. Michael RangeHomology Theory, James W. VickIntegration and Probability, Paul MalliavinIntroduction to Affine Group Schemes, William C. WaterhouseIntroduction to Algebraic and Abelian Functions, Serge LangIntroduction to Axiomatic Set Theory, Gaisi Takeuti Wilson M. ZaringIntroduction to Axiomatic Set Theory, Gaisi Takeuti Wilson M. ZaringIntroduction to Coding Theory, J. H. van LintIntroduction to Coding Theory, J. H. van LintIntroduction to Coding Theory, J. H. van LintIntroduction to Cyclotomic Fields, Lawrence C. WashingtonIntroduction to Cyclotomic Fields, Lawrence C. WashingtonIntroduction to Elliptic Curves and Modular Forms, Neal KoblitzIntroduction to Elliptic Curves and Modular Forms, Neal KoblitzIntroduction to Knot Theory, Richard H. Crowell Ralph H. FoxIntroduction to Lie Algebras and Representation Theory, James E. HumphreysIntroduction to Operator Theory I, Arlen Brown Carl PearcyIntroduction to Smooth Manifolds, John M. LeeIntroduction to Topological Manifolds, John M. LeeLectures in Abstract Algebra I, Nathan JacobsonLectures in Abstract Algebra, Nathan JacobsonLectures in Abstract Algebra, Nathan JacobsonLectures on Discrete Geometry, Jiri MatousekLectures on Modules and Rings, T. Y. LamLectures on Polytopes, Gunter M. ZieglerLectures on Riemann Surfaces, Otto ForsterLectures on the Hyperreals, Robert GoldblattLectures on the Theory of Algebraic Numbers, Erich HeckeLie Groups, Daniel BumpLie Groups, Lie Algebras, and Representations, Brian C. Hall"Lie Groups, Lie Algebras and Their Representations"Linear Algebra, Werner GreubLinear Algebraic Groups, Armand BorelLinear Algebraic Groups, James E. HumphreysLinear Geometry, K. W. Gruenberg A. J. WeirLinear Operators in Hilbert Spaces, Joachim WeidmannLinear Representations of Finite Groups, Jean-Pierre SerreLinear Topological Spaces, John L. Kelley Isaac Namioka W. F. Donoghue Jr. Kenneth R. Lucas B. J. Pettis Ebbe Thue Poulsen G. Baley Price Wendy Robertson W. R. Scott Kennan T. SmithLocal Fields, Jean-Pierre SerreMathematical Logic, J. Donald MonkMathematical Methods of Classical Mechanics, V. I. ArnoldMathematical Methods of Classical Mechanics, V. I. ArnoldMatrices, Denis SerreMatrix Analysis, Rajendra BhatiaMeasure Theory, J. L. DoobMeasure Theory, Paul R. HalmosMeasure and Category, John C. OxtobyMeasure and Category, John C. OxtobyMeasure and Integral, John L. Kelley T. P. SrinivasanMetric Structures in Differential Geometry, Gerard WalschapModel Theory, David MarkerModern Geometry ? Methods and Applications, B. A. Dubrovin A. T. Fomenko S. P. NovikovModern Geometry? Methods and Applications, B. A. Dubrovin S. P. Novikov A. T. FomenkoModern Graph Theory, Bela BollobasModular Functions and Dirichlet Series in Number Theory, Tom M. ApostolModular Functions and Dirichlet Series in Number Theory, Tom M. ApostolModuli of Curves, Joe Harris Ian MorrisonMultiplicative Number Theory, Harold DavenportNoncommutative Algebra, Benson Farb R. Keith DennisNonsmooth Analysis and Control Theory, F. H. Clarke Yu. S. Ledyaev R. J. Stern R. R. WolenskiNumber Theory in Function Fields, Michael RosenNumbers, Heinz-Dieter Ebbinghaus Hans Hermes Friedrich Hirzebruch Max Koecher Klaus Mainzer Jurgen Neukirch Alexander Prestel Reinhold RemmertNumerical Analysis, Rainer KressOne-Parameter Semigroups for Linear Evolution Equations, Klaus-Jochen Engel Rainer NagelOptima and Equilibria, Jean-Pierre AubinOrdinary Differential Equations, Wolfgang Walter"p-adic Numbers, p-adic Analysis and Zeta-Functions"Partial Differential Equations, Jeffrey RauchPartial Differential Equations, Jurgen JostPermutation Groups, John D. Dixon Brian MortimerPolynomials and Polynomial Inequalities, Peter Borwein Tamas ErdelyiPrinciples of Random Walk, Frank SpitzerProbability Theory I, M. LoeveProbability Theory I, M. LoeveProbability, A. N. ShiryaevProbability, A. N. ShiryayevProblems in Analytic Number Theory, M. Ram MurtyQuantum Groups, Christian KasselRandom Processes, M. RosenblattRational Homotopy Theory, Yves Felix Stephen Halperin Jean-Claude ThomasReal and Functional Analysis, Serge LangRepresentation Theory, William Fulton Joe HarrisRepresentations of Compact Lie Groups, Theodor Brocker Tammo tom DieckRiemann Surfaces, Hershel M. Farkas Irwin KraRiemann Surfaces, Hershel M. Farkas Irwin KraRiemannian Geometry, Peter PetersenRiemannian Manifolds, John M. LeeRings and Categories of Modules, Frank W. Anderson Kent R. FullerRings and Categories of Modules, Frank W. Anderson Kent R. FullerSequences and Series in Banach Spaces, Joseph DiestelSeveral Complex Variables and Banach Algebras, Herbert Alexander John WermerSeveral Complex Variables, H. Grauert K. FritzscheSheaf Theory, Glen E. BredonSingular Homology Theory, William S. Massey"SL2(R)", Serge LangSmooth Manifolds and Observables, Jet NestruevStable Mappings and Their Singularities, Martin Golubitsky Victor GuilleminTensor Geometry, Christopher Terence John Dodson Timothy PostonThe Arithmetic of Elliptic Curves, Joseph H. SilvermanThe Arithmetic of Hyperbolic 3-Manifolds, Colin Maclachlan Alan W. ReidThe Geometry of Discrete Groups, Alan F. BeardonThe Geometry of Schemes, David Eisenbud Joe HarrisThe Symmetric Group, Bruce E. SaganTheory of Bergman Spaces, Haakan Hedenmalm Boris Korenblum Kehe ZhuTheory of Complex Functions, Reinhold RemmertTopological Vector Spaces, H. H. Schaefer M. P. WolffTopological Vector Spaces, Helmut H. SchaeferTopology and Geometry, Glen E. BredonUnivalent Functions and Teichmuller Spaces, Olli LehtoUsing Algebraic Geometry, David Cox John Little Donal O'SheaWeakly Differentiable Functions, William P. ZiemerUndergraduate texts in mathematicsduplicates = multiple editionsA Brief on Tensor Analysis, James G. SimmondsA Brief on Tensor Analysis, James G. SimmondsA Concrete Introduction to Higher Algebra, Lindsay ChildsA Concrete Introduction to Higher Algebra, Lindsay N. ChildsA Course in Modern Geometries, Judith N. CederbergA Course in Modern Geometries, Judith N. CederbergA First Course in Analysis, George PedrickA First Course in Calculus, Serge LangA First Course in Real Analysis, Sterling K. BerberianA First Course in Real Analysis, Murray H. Protter Charles B. Morrey Jr.A First Course in Real Analysis, M. H. Protter C. B. Morrey Jr.A First Course in the Mathematical Foundations of Thermodynamics, David R. OwenAlgebra, L. E. SiglerAlgebra, L. E. SiglerAn Accompaniment to Higher Mathematics, George R. ExnerAn Introduction to Difference Equations, Saber N. ElaydiAn Introduction to Difference Equations, Saber N. ElaydiAn Introduction to Probabilistic Modeling, Pierre BremaudAn Introduction to Wavelets Through Linear Algebra, Michael W. FrazierAn Introduction to Wavelets Through Linear Algebra, Michael W. FrazierApplied Abstract Algebra, Rudolf Lidl Gunter PilzApplied Abstract Algebra, Rudolf Lidl Gunter PilzApplied Partial Differential Equations, J. David LoganApplied Partial Differential Equations, J. David LoganAspects of Calculus, Gabriel KlambauerBasic Concepts of Algebraic Topology, Fred H. CroomBasic Elements of Real Analysis, Murray H. ProtterBasic Topology, M. A. ArmstrongBeginning Functional Analysis, Karen SaxeCalculus I, Jerrold Marsden Alan WeinsteinCalculus II, Jerrold Marsden Alan WeinsteinCalculus III, Jerrold Marsden Alan WeinsteinCalculus of Several Variables, Serge LangCalculus: A Liberal Art, William McGowen PriestleyCalculus: An Historical Approach, William McGowen PriestleyCombinatorial Optimization for Undergraduates, L. R. FouldsCombinatorics and Graph Theory, John M. Harris Jeffry L. Hirst Michael J. MossinghoffComplex Analysis, Theodore W. GamelinConics and Cubics, Robert BixConstructive Combinatorics, Dennis Stanton Dennis WhiteCounting: The Art of Enumerative Combinatorics, George E. MartinDifferential Equations, Clay C. RossDiscrete Mathematics, L. Lovasz J. Pelikan K. VesztergombiDiscrete Probability, Hugh GordonDynamic Topology, Gordon Whyburn Edwin DudaElementary Analysis: The Theory of Calculus, Kenneth A. RossElementary Probability Theory, Kai Lai Chung Farid Ait SahliaElementary Probability Theory with Stochastic Processes, Kai Lai ChungElementary Probability Theory with Stochastic Processes, Kai Lai ChungElementary Probability Theory with Stochastic Processes, Kai Lai ChungElementary Stability and Bifurcation Theory, Gerard Iooss Daniel D. JosephElementary Stability and Bifurcation Theory, Gerard Iooss Daniel D. JosephElementary Topics in Differential Geometry, J. A. ThorpeElements of Algebra, John StillwellElements of Number Theory, John StillwellFactorization and Primality Testing, David M. BressoudFinite-Dimensional Vector Spaces, Paul R. HalmosFrom Fermat to Minkowski, Winfried Scharlau Hans OpolkaFunctions of Several Variables, Wendell FlemingGeneral Topology, Jacques DixmierGeometric Constructions, George E. MartinGeometry, Richard S. Millman George D. ParkerGeometry: Euclid and Beyond, Robin HartshorneGeometry: Plane and Fancy, David A. SingerGlimpses of Algebra and Geometry, Gabor TothGroups and Symmetry, M. A. Armstrong"Ideals, Varieties, and Algorithms", David Cox John Little Donal O?Shea"Ideals, Varieties, and Algorithms", David Cox John Little Donal O?Shea"Ideals, Varieties, and Algorithms", David Cox John Little Donal O?SheaInside Calculus, George R. Exner"Integers, Polynomials, and Rings", Ronald S. IrvingIntermediate Calculus, Murray H. Protter Charles B. Morrey Jr.Intermediate Real Analysis, Emanuel FischerIntroduction to Analytic Number Theory, Tom M. ApostolIntroduction to Analytic Number Theory, Tom M. ApostolIntroduction to College Mathematics with A Programming Language, Edward J. LeCuyer Jr.Introduction to Cryptography, Johannes A. BuchmannIntroduction to Cryptography, Johannes A. BuchmannIntroduction to Linear Algebra, Serge LangIntroduction to Mathematical Logic, Jerome MalitzIntroduction to Optimal Control Theory, Jack Macki Aaron StraussIntroduction to the Mathematics of Finance, Steven RomanJoin Geometries, Walter Prenowitz James JantosciakLecture Notes on Elementary Topology and Geometry, I. M. Singer J. A. ThorpeLectures on Boolean Algebras, Paul R. HalmosLimits, Alan F. BeardonLinear Algebra, Charles W. CurtisLinear Algebra, Larry SmithLinear Algebra, Larry SmithLinear Algebra, Serge LangLinear Algebra, Robert J. ValenzaLinear Algebra, Klaus JanichLinear Algebra, Larry SmithLinear Algebra Through Geometry, Thomas Banchoff John WermerLinear Algebra Through Geometry, Thomas Banchoff John WermerLinear Programming and Its Applications, James K. StrayerMathematical Analysis, Andrew BrowderMathematical Expeditions, Reinhard Laubenbacher David PengelleyMathematical Introduction to Linear Programming and Game Theory, Louis BrickmanMathematical Logic, H.-D. Ebbinghaus J. Flum W. ThomasMathematical Reflections, Peter Hilton Derek Holton Jean PedersenMathematical Vistas, Peter Hilton Derek Holton Jean PedersenMathematics and Its History, John StillwellMathematics and Its History, John StillwellMathematics: A Concise History and Philosophy, W. S. Anglin"Measure, Topology, and Fractal Geometry", Gerald A. EdgarMethods of Mathematical Economics, Joel FranklinMuch Ado About Calculus, Robert L. WilsonNaive Set Theory, Paul R. HalmosNotes on Set Theory, Yiannis N. MoschovakisNumbers and Geometry, John StillwellNumerical Mathematics, Gunther Hammerlin Karl-Heinz HoffmanOptimization Techniques, L. R. FouldsPractical Analysis in One Variable, Donald EstepPrimer of Modern Analysis, Kennan T. SmithRational Points on Elliptic Curves, Joseph H. Silverman John Tate"Reading, Writing, and Proving", Ulrich Daepp Pamela GorkinReal Mathematical Analysis, Charles Chapman Pugh"Rings, Fields, and Vector Spaces", B. A. SethuramanSecond Year Calculus, David M. BressoudShort Calculus, Serge LangThe Foundations of Geometry and the Non-Euclidean Plane, George E. MartinThe Fundamental Theorem of Algebra, Benjamin Fine Gerhard RosenbergerThe Geometry of Spacetime, James J. CallahanThe Heritage of Thales, W. S. Anglin J. LambekThe Joy of Sets, Keith DevlinThe Laplace Transform, Joel L. SchiffThe Lebesgue-Stieltjes Integral, M. Carter B. van BruntThe Pleasures of Probability, Richard IsaacTopics in the Theory of Numbers, Paul Erdos Janos SuranyiTopological and Uniform Spaces, I. M. JamesTopological Spaces, Gerard Buskes Arnoud van RooijTopology of Surfaces, L. Christine KinseyTransformation Geometry, George E. MartinUndergraduate Algebra, Serge LangUndergraduate Algebra, Serge LangUndergraduate Analysis, Serge LangUndergraduate Analysis, Serge LangUnderstanding Analysis, Stephen AbbottVariational Calculus and Optimal Control, John L. TroutmanVariational Calculus with Elementary Convexity, John L. TroutmanVector Analysis, Klaus JanichWhy Math?, R. D. DriverGraduate texts in physicsFundamentals of Semiconductors, Professor Dr. Peter Y. Yu, Professor Dr., Dres. h.c. Manuel CardonaElectroweak and Strong Interactions, An Introduction to Theoretical Particle Physics, Professor Dr. F. ScheckGraduate texts in contemporary physicsduplicates = multiple editionsClusters and Small Particles, Boris M. Smirnov"Coherent States, Wavelets and Their Generalizations", Syed Twareque Ali Jean-Pierre Antoine Jean-Pierre GazeauConformal Field Theory, Philippe Di Francesco Pierre Mathieu David SenechalElectronic States and Optical Transitions in Semiconductor Heterostructures, Fedor T. Vasko Alex V. KuznetsovElementary Lectures in Statistical Mechanics, George D. J. Phillies"Geometry, Particles, and Fields", Bjorn FelsagerHigh Temperature Superconductivity, Jeffrey W. LynnInteracting Electrons and Quantum Magnetism, Assa AuerbachIntroduction to Statistical Physics, Silvio R. A. SalinasIntroduction to Superstrings, Michio KakuIntroduction to Superstrings and M-Theory, Michio KakuKinetic Theory, Richard L. LiboffLaser Cooling and Trapping, Harold J. Metcalf Peter van der StratenMesoscopic Physics of Complex Materials, T. S. ChowModeling Complex Systems, Nino BoccaraMultiple Scattering in Solids, Antonios Gonis William H. ButlerNeutrinos, Professor Dr. Hans Volker KlapdorNuclei in the Cosmos, Professor Dr. Heinz OberhummerPhysics of Atoms and Ions, Boris M. SmirnovPhysics of Critical Fluctuations, Yuli M. Ivanchenko Alexander A. LisyanskyQuantum Mechanics, K. T. HechtQuantum Mechanics: Fundamentals, Kurt Gottfried Tung-Mow YanQuantum Physics, Roger G. NewtonQuantum Theory of Many-Body Systems, Alexandre M. ZagoskinSpinors in Physics, Jean Hladik"Strings, Conformal Fields, and M-Theory", Michio Kaku"Strings, Conformal Fields, and Topology", Michio KakuSuperconductor Electronics, Professor Dr. Ing. Johann H. HinkenThe Physics of Quantum Fields, Michael StoneThe Quantum Hall Effect, Richard E. Prange Steven M. GirvinThe Quantum Hall Effect, Richard E. Prange Steven M. GirvinUnification and Supersymmetry, Rabindra N. MohapatraUnification and Supersymmetry, Rabindra N. MohapatraUnification and Supersymmetry, Rabindra N. MohapatraFull credits to bishboria for compiling the list.

This is a list of suggested textbooks that a student can use to learn about a topic on their own, or to supplement the text used in a class.This list is not meant to be comprehensive. It only contains popular topics encountered in undergraduate and the first year or two of graduate study. So, if you want book recommendations for something advanced (such as C*-algebra theory or Homological Algebra), or something specific (such as Knot theory or Coding theory), you will need to look elsewhere. I have also listed some of the best books for learning a topic, with no effort to list all the introductory texts on that topic. (But, if you think something missing from the list should be there, just let me know.)Under each topic I have listed some of the books I've found most useful, as well as others that are likely to be on the recommendation lists of most mathematicians.Books labeled (DOVER) are published by Dover Publications, also known as Dover Books, which primarily publishes reissues; i.e., books no longer published by their original publishers that are often, but not always, in the public domain. Dover books are very inexpensive, often in the range of $10--$20.Abstract AlgebraUndergraduateContemporary Abstract Algebra by Joe GallianA First Course in Abstract Algebra by Joseph J. RotmanAbstract Algebra by I.N. HersteinGraduateAbstract Algebra by David S. Dummit and Richard M. FooteAlgebra by Thomas W. HungerfordTopics in Algebra by I.N. HersteinAlgebra by Serge LangAlgebra by Michael ArtinAdvanced Modern Algebra by Joseph J. RotmanBasic Algebra I, Basic Algebra II, and Basic Algebra III by Nathan Jacobson (DOVER)Field and Galois Theory by Patrick MorandiReal AnalysisUndergraduateElementary Analysis: The Theory of Calculus by Kenneth RossPrinciples of Mathematical Analysis by Walter RudinUnderstanding Analysis by Stephen AbbottReal Mathematical Analysis by Charles Chapman PughMetric Spaces by E.T. CopsonReal Analysis by N.L Carothers (DOVER)GraduateReal and Complex Analysis by Walter RudinReal Analysis: Modern Techniques and Their Applications by Gerald B. FollandReal Analysis by Richard F. BassThe Elements of Integration and Lebesgue Measure by Robert G. BartleMeasure Theory by Donald L. CohnMeasure Theory by J.L. Doob (Particularly good for students interested in Probability Theory)Measure Theory by Paul R. HalmosHarmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals by Elias M. SteinPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Complex AnalysisUndergraduateComplex Variables and Applications by James Brown and Ruel ChurchillA First Course in Complex Analysis With Applications by Dennis Zill and Patrick ShanahanVisual Complex Analysis by Tristan NeedhamGraduateReal and Complex Analysis by Walter RudinFunctions of One Complex Variable I, II by John B. ConwayFunction Theory of One Complex Variable by Robert E. Greene and Steven G. KrantzFunction Theory of Several Complex Variables by Steven G. KrantzComplex Analysis by Lars AhlforsPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Functional AnalysisA Course in Functional Analysis by John B. ConwayAnalysis Now by Gert K. PedersenElementary Functional Analysis by Barbara MacCluerIntroduction to Topology and Modern Analysis by George F. SimmonsPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Ordinary Differential Equations (ODEs)UndergraduateElementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrimaDifferential Equations with Applications and Historical Notes by George F. SimmonsDifferential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W. Hirsch, Stephen Smale, and Robert L. DevaneyPartial Differential Equations (PDEs)UndergraduateApplied Partial Differential Equations with Fourier Series and Boundary Value Problems by Richard HabermanGraduatePartial Differential Equations by Lawrence C. EvansPartial Differential Equations: An Introduction by Walter A. StraussLinear AlgebraUndergraduateLinear Algebra by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. SpenceLinear Algebra Done Right by Sheldon AxlerMatrix Analysis and Applied Linear Algebra by Carl D. MeyerGraduateA Second Course in Linear Algebra by Stephan Ramon Garcia and Roger A. HornMatrix Analysis by by Roger A Horn and Charles R. JohnsonTopics in Matrix Analysis by Roger A. Horn and Charles R. JohnsonAdvanced Linear Algebra by Steven RomanPoint-Set TopologyAdvanced Undergraduate / Beginning GraduateTopology by James MunkresTopology by James DugundjiTopology by John G. Hocking and Gail S. Young (DOVER)General Topology by John L. Kelley (The original intended title was "What every young analyst should know".) (DOVER)Algebraic TopologyGraduateAlgebraic Topology by Allen HatcherAlgebraic Topology: An Introduction by William S. MasseyHomology Theory: An Introduction to Algebraic Topology by James W. VickAlgebraic Topology: A First Course by William FultonAn Introduction to Algebraic Topology by Joseph J. RotmanDifferential Forms in Algebraic Topology by Raoul Bott and Loring W. Tu (Combination of Algebraic and Differential Topology)Differential TopologyUndergraduateCalculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus by Michael SpivakDifferential Forms: A Complement to Vector Calculus by Steven H. WeintraubDifferential Forms: Theory and Practice by Steven H. WeintraubGraduateDifferential Topology by Victor Guillemin and Alan PollackTopology from the Differentiable Viewpoint by John Willard MilnorAn Introduction to Differentiable Manifolds and Riemannian Geometry by William M. BoothbyIntroduction to Topological Manifolds by John LeeFoundations of Differentiable Manifolds and Lie Groups by Frank W. WarnerManifolds and Differential Geometry by Jeffrey M. LeeDifferential Forms in Algebraic Topology by Raoul Bott and Loring W. Tu (Combination of Algebraic and Differential Topology)Riemannian GeometryUndergraduateDifferential Geometry of Curves and Surfaces by Manfredo P. do Carmo (DOVER)GraduateRiemannian Geometry by Manfredo P. do CarmoAn Introduction to Differentiable Manifolds and Riemannian Geometry by William M. BoothbyA Comprehensive Introduction to Differential Geometry, Vol. 1, 2, 3, 4, 5 by Michael SpivakNumber TheoryElementary Number TheoryA Friendly Introduction to Number Theory by Joseph SilvermanAn Introduction to the Theory of Numbers by G. H. Hardy, Edward M. Wright and Andrew WilesElementary Number Theory by Gareth A. Jones and Josephine M. JonesNot Always Buried Deep: A Second Course in Elementary Number Theory by Paul PollackAlgebraic Number TheoryA Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z by Paul PollackAlgebraic Number Theory by A. Frohlich and M.J. TaylorAlgebraic Number Fields by Gerald J. JanuszAnalytic Number TheoryIntroduction to Analytic Number Theory by Tom M. ApostolIntroduction to Analytic and Probabilistic Number Theory by Gerald TenenbaumA Course in Analytic Number Theory by Marius OverholtAnalytic Number Theory: Exploring the Anatomy of Integers by Jean-marie De Koninck and Florian LucaAnalytic Number Theory: An Introductory Course by Paul Trevier Bateman and Harold G. DiamondElliptic CurvesElliptic Curves, Modular Forms, and Their L-functions = by Alvaro Lozano-RobledoThe Arithmetic of Elliptic Curves by Joseph H. SilvermanElliptic Curves by J.S. MilneAlgebraic GeometryUndergraduateElementary Algebraic Geometry by Klaus HulekAlgebraic Geometry: A Problem Solving Approach by Thomas Garrity, Richard Belshoff, Lynette Boos, Ryan Brown, and Carl LienertIdeals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra by David A. Cox, John Little, and Donal O'SheaGraduateCommutative Algebra: with a View Toward Algebraic Geometry by David EisenbudAlgebraic Geometry by Robin HartshornePrinciples of Algebraic Geometry by Phillip Griffiths and Joseph HarrisRational Points on Varieties by Bjorn PoonenLogic, Set Theory, and ComputabilityUndergraduateA Mathematical Introduction to Logic by Herbert EndertonThe Joy of Sets: Fundamentals of Contemporary Set Theory by Keith DevlinAxiomatic Set Theory by Patrick Suppes (DOVER)A Book of Set Theory by Charles C. Pinter (DOVER)Computability Theory by Rebecca WeberGraduateIntroduction to Mathematical Logic by Elliott MendelsonLogic for Mathematicians by A.G. HamiltonSet Theory by Thomas Jech (Some readers suggest the 1978 version is more suitable for beginners than the Millennium Edition.)Set Theory by Kenneth KunenGodel's Proof by Ernest Nagel and James NewmanSet Theory and the Continuum Hypothesis by Paul J. CohenComputability: An Introduction to Recursive Function Theory by Nigel CutlandComputability: A Mathematical Sketchbook by Douglas S. BridgesCategory TheoryCategories for the Working Mathematician by Saunders Mac LaneCategory Theory in Context by Emily Riehl (DOVER)Basic Category Theory by Tom Leinster

This is a list of suggested textbooks that a student can use to learn about a topic on their own, or to supplement the text used in a class.This list is not meant to be comprehensive. It only contains popular topics encountered in undergraduate and the first year or two of graduate study. So, if you want book recommendations for something advanced (such as C*-algebra theory or Homological Algebra), or something specific (such as Knot theory or Coding theory), you will need to look elsewhere. I have also listed some of the best books for learning a topic, with no effort to list all the introductory texts on that topic. (But, if you think something missing from the list should be there, just let me know.)Under each topic I have listed some of the books I've found most useful, as well as others that are likely to be on the recommendation lists of most mathematicians.Books labeled (DOVER) are published by Dover Publications, also known as Dover Books, which primarily publishes reissues; i.e., books no longer published by their original publishers that are often, but not always, in the public domain. Dover books are very inexpensive, often in the range of $10--$20.Abstract AlgebraUndergraduateContemporary Abstract Algebra by Joe GallianA First Course in Abstract Algebra by Joseph J. RotmanAbstract Algebra by I.N. HersteinGraduateAbstract Algebra by David S. Dummit and Richard M. FooteAlgebra by Thomas W. HungerfordTopics in Algebra by I.N. HersteinAlgebra by Serge LangAlgebra by Michael ArtinAdvanced Modern Algebra by Joseph J. RotmanBasic Algebra I, Basic Algebra II, and Basic Algebra III by Nathan Jacobson (DOVER)Field and Galois Theory by Patrick MorandiReal AnalysisUndergraduateElementary Analysis: The Theory of Calculus by Kenneth RossPrinciples of Mathematical Analysis by Walter RudinUnderstanding Analysis by Stephen AbbottReal Mathematical Analysis by Charles Chapman PughMetric Spaces by E.T. CopsonReal Analysis by N.L Carothers (DOVER)GraduateReal and Complex Analysis by Walter RudinReal Analysis: Modern Techniques and Their Applications by Gerald B. FollandReal Analysis by Richard F. BassThe Elements of Integration and Lebesgue Measure by Robert G. BartleMeasure Theory by Donald L. CohnMeasure Theory by J.L. Doob (Particularly good for students interested in Probability Theory)Measure Theory by Paul R. HalmosHarmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals by Elias M. SteinPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Complex AnalysisUndergraduateComplex Variables and Applications by James Brown and Ruel ChurchillA First Course in Complex Analysis With Applications by Dennis Zill and Patrick ShanahanVisual Complex Analysis by Tristan NeedhamGraduateReal and Complex Analysis by Walter RudinFunctions of One Complex Variable I, II by John B. ConwayFunction Theory of One Complex Variable by Robert E. Greene and Steven G. KrantzFunction Theory of Several Complex Variables by Steven G. KrantzComplex Analysis by Lars AhlforsPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Functional AnalysisA Course in Functional Analysis by John B. ConwayAnalysis Now by Gert K. PedersenElementary Functional Analysis by Barbara MacCluerIntroduction to Topology and Modern Analysis by George F. SimmonsPrinceton Lectures in Analysis by Elias M. Stein and Rami ShakarchiBook 1: Fourier Analysis: An IntroductionBook 2: Complex AnalysisBook 3: Real Analysis: Measure Theory, Integration, and Hilbert SpacesBook 4: Functional Analysis: Introduction to Further Topics in AnalysisA series of four textbooks that aims to present, in an integrated manner, the core areas of analysis.Ordinary Differential Equations (ODEs)UndergraduateElementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrimaDifferential Equations with Applications and Historical Notes by George F. SimmonsDifferential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W. Hirsch, Stephen Smale, and Robert L. DevaneyPartial Differential Equations (PDEs)UndergraduateApplied Partial Differential Equations with Fourier Series and Boundary Value Problems by Richard HabermanGraduatePartial Differential Equations by Lawrence C. EvansPartial Differential Equations: An Introduction by Walter A. StraussLinear AlgebraUndergraduateLinear Algebra by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. SpenceLinear Algebra Done Right by Sheldon AxlerMatrix Analysis and Applied Linear Algebra by Carl D. MeyerGraduateA Second Course in Linear Algebra by Stephan Ramon Garcia and Roger A. HornMatrix Analysis by by Roger A Horn and Charles R. JohnsonTopics in Matrix Analysis by Roger A. Horn and Charles R. JohnsonAdvanced Linear Algebra by Steven RomanPoint-Set TopologyAdvanced Undergraduate / Beginning GraduateTopology by James MunkresTopology by James DugundjiTopology by John G. Hocking and Gail S. Young (DOVER)General Topology by John L. Kelley (The original intended title was "What every young analyst should know".) (DOVER)Algebraic TopologyGraduateAlgebraic Topology by Allen HatcherAlgebraic Topology: An Introduction by William S. MasseyHomology Theory: An Introduction to Algebraic Topology by James W. VickAlgebraic Topology: A First Course by William FultonAn Introduction to Algebraic Topology by Joseph J. RotmanDifferential Forms in Algebraic Topology by Raoul Bott and Loring W. Tu (Combination of Algebraic and Differential Topology)Differential TopologyUndergraduateCalculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus by Michael SpivakDifferential Forms: A Complement to Vector Calculus by Steven H. WeintraubDifferential Forms: Theory and Practice by Steven H. WeintraubGraduateDifferential Topology by Victor Guillemin and Alan PollackTopology from the Differentiable Viewpoint by John Willard MilnorAn Introduction to Differentiable Manifolds and Riemannian Geometry by William M. BoothbyIntroduction to Topological Manifolds by John LeeFoundations of Differentiable Manifolds and Lie Groups by Frank W. WarnerManifolds and Differential Geometry by Jeffrey M. LeeDifferential Forms in Algebraic Topology by Raoul Bott and Loring W. Tu (Combination of Algebraic and Differential Topology)Riemannian GeometryUndergraduateDifferential Geometry of Curves and Surfaces by Manfredo P. do Carmo (DOVER)GraduateRiemannian Geometry by Manfredo P. do CarmoAn Introduction to Differentiable Manifolds and Riemannian Geometry by William M. BoothbyA Comprehensive Introduction to Differential Geometry, Vol. 1, 2, 3, 4, 5 by Michael SpivakNumber TheoryElementary Number TheoryA Friendly Introduction to Number Theory by Joseph SilvermanAn Introduction to the Theory of Numbers by G. H. Hardy, Edward M. Wright and Andrew WilesElementary Number Theory by Gareth A. Jones and Josephine M. JonesNot Always Buried Deep: A Second Course in Elementary Number Theory by Paul PollackAlgebraic Number TheoryA Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z by Paul PollackAlgebraic Number Theory by A. Frohlich and M.J. TaylorAlgebraic Number Fields by Gerald J. JanuszAnalytic Number TheoryIntroduction to Analytic Number Theory by Tom M. ApostolIntroduction to Analytic and Probabilistic Number Theory by Gerald TenenbaumA Course in Analytic Number Theory by Marius OverholtAnalytic Number Theory: Exploring the Anatomy of Integers by Jean-marie De Koninck and Florian LucaAnalytic Number Theory: An Introductory Course by Paul Trevier Bateman and Harold G. DiamondElliptic CurvesElliptic Curves, Modular Forms, and Their L-functions = by Alvaro Lozano-RobledoThe Arithmetic of Elliptic Curves by Joseph H. SilvermanElliptic Curves by J.S. MilneAlgebraic GeometryUndergraduateElementary Algebraic Geometry by Klaus HulekAlgebraic Geometry: A Problem Solving Approach by Thomas Garrity, Richard Belshoff, Lynette Boos, Ryan Brown, and Carl LienertIdeals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra by David A. Cox, John Little, and Donal O'SheaGraduateCommutative Algebra: with a View Toward Algebraic Geometry by David EisenbudAlgebraic Geometry by Robin HartshornePrinciples of Algebraic Geometry by Phillip Griffiths and Joseph HarrisRational Points on Varieties by Bjorn PoonenLogic, Set Theory, and ComputabilityUndergraduateA Mathematical Introduction to Logic by Herbert EndertonThe Joy of Sets: Fundamentals of Contemporary Set Theory by Keith DevlinAxiomatic Set Theory by Patrick Suppes (DOVER)A Book of Set Theory by Charles C. Pinter (DOVER)Computability Theory by Rebecca WeberGraduateIntroduction to Mathematical Logic by Elliott MendelsonLogic for Mathematicians by A.G. HamiltonSet Theory by Thomas Jech (Some readers suggest the 1978 version is more suitable for beginners than the Millennium Edition.)Set Theory by Kenneth KunenGodel's Proof by Ernest Nagel and James NewmanSet Theory and the Continuum Hypothesis by Paul J. CohenComputability: An Introduction to Recursive Function Theory by Nigel CutlandComputability: A Mathematical Sketchbook by Douglas S. BridgesCategory TheoryCategories for the Working Mathematician by Saunders Mac LaneCategory Theory in Context by Emily Riehl (DOVER)Basic Category Theory by Tom Leinster