麻省理工學(xué)院數(shù)學(xué)系課表及教材

1、SubjectTitleInstructorTimePlaceSubject18.01CalculusSpeck,JaredTR 1, F 2 54-10018.0118.014Calculus withTheoryBarwick,ClarkTR 1, F 2 E17-133 18.01418.01ACalculusBush,JohnTR 1, F 2 10-25018.01A18.02CalculusMinicozzi, WilliamTR 1, F 2 26-10018.0218.022CalculusBorodin,AlexeiTR 1, F 2 E25-111 18.02218.02A

2、CalculusBush,JohnTR 1, F 2 10-25018.02A18.03DifferentialEquationsJerison,DavidMWF 154-10018.0318.03DifferentialEquationsMiller,HaynesMWF 154-10018.0618.06Linear AlgebraEdelman, AlanMWF 11 26-10018.08518.062Mathematics forComputer ScienceMeyer,AlbertMW 2:30-432-08218.100A18.085ComputationalScience an

3、dEngineering IStrang,GilbertTR 101-19018.100B18.085ComputationalScience andEngineering IStrang,GilbertT 332-12318.100C18.094Teaching College-Level Science andEngineeringRankin,JanetR 9-114-14918.10118.100A Real AnalysisMattuck,ArthurMWF 14-16318.10318.100B Real AnalysisEtingof,PavelTR 2:30-44-23718.

4、11218.100C Real AnalysisZhou,TingMWF 10 4-14518.15518.100C Real AnalysisWelters,AaronMWF 10 4-14518.17618.101Analysis andManifoldsGuillemin, VictorMWF 11 E17-129 18.30318.103Fourier Analysis:Theory andApplicationsJerison,DavidMWF 10 E17-129 18.30518.112Functions of aComplex VariableSmart,CharlesMWF

5、14-14918.31418.155Differential Analysis Melrose,RichardTR 11-12:30E17-133 18.31518.176Stochastic Calculus Guionnet, AliceTR 1-2:30E17-128 18.33518.303Linear PartialDifferentialEquationsJohnson,StevenMWF 14-15918.35318.304UndergraduateSeminar in DiscreteMathematicsNovak,JonathanTR 11-12:30E17-139 18.

6、39618.305Advanced AnalyticMethods in Scienceand EngineeringCheng,HungMWF 11 E17-128 18.39618.31Principles ofDiscrete AppliedMathematicsGoemans, MichelMWF 12 4-16318.39618.314CombinatorialAnalysisVenkateswaran,VidyaTR 1-2:30E17-122 18.39618.315CombinatorialTheoryStanley,RichardMWF 11 E17-122 18.39618

7、.316Seminar inCombinatoricsFox,JacobMWF 2E17-129 18.40418.335Introduction toNumerical MethodsJohnson,StevenMWF 356-11418.4118.337Parallel ComputingEdelman, AlanMW 2-3:3056-15418.43718.353NonlinearDynamics: ChaosLagrange,RomainTR 12:30-21-19018.43718.357InterfacialPhenomenaBush,JohnMW 2-3:30E17-139 1

8、8.4418.396SupersymmetricQuantum FieldTheoriesFreedman, DanielTR 11-12:30E17-129 18.44318.404Theory ofComputationSipser,MichaelTR 11-12:30E25-111 18.718.41Design andAnalysis ofAlgorithmsGoldwasser,ShafriraTR 11-12:3026-10018.70118.415AdvancedAlgorithmsKarger,DavidMWF2:30-432-15518.70418.435QuantumCom

9、putationLloyd,SethTR 1-2:3056-11418.70518.437DistributedAlgorithmsLynch,NancyTR 11-12:3056-16718.70518.44Probability andRandom VariablesKelner,JonathanMWF 10 54-10018.70518.443Statistics forApplicationsWang,LieMW 9:30-114-16318.70518.51Introduction toMathematical Logicand Set TheoryCohn,HenryTR 2:30

10、-44-15318.72518.7Linear AlgebraVogan,DavidTR 9:30-114-16318.75518.701Algebra IArtin,MichaelMWF 11 3-27018.78218.704Seminar in Algebra Kac,VictorTR 2:30-4E17-122 18.78218.705CommutativeAlgebraKumar,AbhinavTR 11-12:30E17-122 18.78218.725Algebraic GeometryICharles,FranoisMW 2:30-4E17-122 18.78218.735To

11、pics in AlgebraBezrukavnikov,RomanTR 1-2:304-14618.78518.745Introduction to LieAlgebrasLusztig,GeorgeTR 2:30-44-14518.78718.755Introduction to LieGroupsHelgason,SigurdurTR 1-2:30E17-139 18.78718.769Topics in LieTheoryEtingof,PavelTR 11-12:30E17-128 18.78718.782Introduction toArithmetricGeometrySuthe

12、rland,AndrewTR 2:30-4E17-139 18.78718.785Number Theory IKim, Ju-LeeTR 2:30-4E17-136 18.78718.787Topics in NumberTheoryPoonen,BjornTR 9:30-11E17-128 18.78718.821Project Laboratoryin MathematicsGuth,LarryMF 1-3E17-136 18.78718.901Introduction toTopologyMunkres,JamesTR 11-12:304-15918.78718.905Algebrai

13、c Topology Tabuada,GonaloTR 9:30-11E17-122 18.78718.915Graduate TopologySeminarBehrens,MarkTR 2:30-4E17-128 18.78718.917Topics in AlgebraicTopologyGalatius,SorenMWF 11 8-11918.78718.965Geometry ofManifoldsSeidel,PaulMWF 1E17-128 18.78718.994Seminar inGeometryElias,BenjaminMWF 2E17-128 18.78718.A13fr

14、eshman seminar:Knot TheorySchlank,TomerW 7-9pm E17-129 18.90118.A34MathematicalProblem SolvingKumar,AbhinavTR 1:30-2:30E17-136 18.96518.A40freshman seminar:HyperbolicGeometryLauer,JosephT 2-466-14818.96518.S096 Special Subject inMathematicsKempthorne,PeterTR 2:30-49-05718.99418.S096 Special Subject

15、inMathematicsLee,ChoongbumTR 2:30-49-05718.S99518.S096 Special Subject inMathematicsXia,JakeTR 2:30-49-05718.S096 Special Subject inMathematicsStrela,VasilyTR 2:30-49-05718.S995 Special Subject inMathematicsDunkel,JrnMWF 1E17-12918.S996 Special Subject inMathematicsMoitra,AnkurMW 9:30-11E17-12218.S9

16、97 Special Subject inMathematicsSchlank,TomerW 3-566-154BookAuthorISBN* Calculus with Analytic Geometry,2nd ed.GeorgeSimmons9780070576421* Calculus, 4th ed.Spivak9780914098911* Calculus With Analytic Geometry,2nd ed.Simmons9780070576421* Multivariable Calculus, 6th ed.Edwards andPenney9780130339676*

17、 Vector Calculus, 3rd ed.Colley9780131858749* Calculus With Analytic Geometry,2nd ed.Simmons9780070576421* Elementary Differential Equationswith Boundary Value Problems, 6thed.Edwards andPenney9780321656674* Introduction to Linear Algebra, 4thed.Strang9780980232714* Computational Science and EngStra

18、ng9780961408817* Introduction to Analysis, 8thprintingMattuck9781484814116* Principles of mathematicalanalysis, 3rd ed.Rudin9780070542358* Principles of mathematicalanalysis, 3rd ed.Rudin9780070542358* Analysis on ManifoldsMunkres9780201315967* Measure Theory and ProbabilityAdams andGuillemin9780817

19、638849* Complex Analysis, 3rd ed.Ahlfors9780070006577* The Analysis of Linear PartialDifferential Operators I: DistributionTheory and Fourier A, 2nd ed.Hrmander9783540006626Continuous Martingales and BrownianMotion, 3rd ed.Daniel Revuzand Marc Yor9783540643258* Computational Science andEngineeringSt

20、rang9780961408817* Advanced Analytic Methods inApplied Mathematics, Science, andEngineeringHung Cheng9780975862513* A Walk Through Combinatorics,3rd ed.Miklos Bona9789814335232* Enumerative Combinatorics, Vol.2R. Stanley9780521789875* Numerical Linear AlgebraTrefethen andBau9780898713619* Nonlinear

21、Dynamics And Chaos,1st ed.StevenStrogatz9780738204536* SupergravityD. Freedmanand A. VanProeyen9780521194013* Modern Supersymmetry: Dynamicsand DualityTerning9780199559510* SupersymmetryBinetruy9780198509547* Supersymmetry & Supergravity, 2nded.J. Wess and J.Bagger9780691025308* Supersymmetry an

22、d String Theory:Beyond the Standard ModelDine9780521858410* Intro to theory of computation, 3rded.Michael Sipser 9781133187790* Introduction to Algorithms, 3rd ed.Cormen,Leiserson,Rivest and9780262033848* Distributed AlgorithmsNancy Lynch9781558603486Distributed Computing:Fundamentals, Simulations,

23、andAdvanced TopicsAttiya andWelch9780471453246* A First Course in Probability (5th,6th, 7th, 8th or 9th ed)Ross9780321794772* Probability and Statistics, 4th ed.Morris H.DeGroot andMark J.9780321500465* Linear Algebra Done Right, 2nded.Sheldon Axler9780387982588* Algebra, 2nd ed.Artin9780132413770*

24、Quantum Calculus QuantumCalculusV. Kac and P.Cheung9780387953410* Categories for the WorkingMathematician, 2nd ed.MacLane9780387984032* Commutative Algebra With a ViewToward Algebraic GeometryEisenbud9780387942698* Introduction to Commutative Algebra Atiyah andMacDonald9780201407518* Undergraduate C

25、ommutativeAlgebraReid9780521458894Algebraic geometryHarthshorne9780387902449* Differential Geometry, Lie groupsand Symmetric SpacesSigurdurHelgason9780821828489* A course in arithmeticJ-P. Serre9780387900407* p-adic numbers, p-adic analysis, andzeta functions, 2nd ed.Neal Koblitz9780387960173* Ratio

26、nal points on elliptic curvesJoseph H.Silverman andJohn T9780387978253* The arithmetic of elliptic curves, 2nded.Joseph H.Silverman9781441918581* Algebraic Number TheoryJrgenNeukirch9783642084737* Algebraic geometry and arithmeticcurvesLiu9780199202492* Algebraic number theoryCassels andFrohlich9780