[정보] 2008 Fall Courses & Textbooks - MIT Mathematics

() = not required, * = on reserve

"must"

18.705  Commutative Algebra  Kleiman, Steven L. TR 9:30-11 2-102
  (Commutative Algebra with a View Toward Algebraic Geometry)* Eisenbud 0387942696
  Undergraduate Commutative Algebra* Reid 0521458897
  (Commutative Ring Theory)* Matsumura 0521367646
  Introduction to Commutative Algebra* Atiyah & Macdonald 0201407515

18.725  Algebraic Geometry  Kumar, Abhinav TR 11-12:30 2-136

18.745  Introduction to Lie Algebras  Kac, Victor TR 2:30-4 2-139
  Introduction to Lie Algebras and Representation Theory, corrected 7th edit Humphreys 0387900535

18.905  Algebraic Topology  Miller, Haynes R. MWF 1 4-149
  (Algebraic Topology) Hatcher 0521795400

18.965  Geometry of Manifolds  Colding, Tobias MW 3-4:30 2-139
  Riemannian Geometry Do Carmo 0817634908

18.155  Differential Analysis  Jerison, David S. TR 11-12:30 2-102


"the most attractive"

18.704  Seminar in Algebra and Number Theory  Kleiman, Steven L. TR 11-12:30 2-255
  Ideals, Varieties and Algorithms, 3rd edit* Cox, Little and O'Shea 0387356509

18.735  Topics in Algebra  Bezrukavnikov, Roman MW 9:30-11 2-135

18.737  Algebraic Groups  Lusztig, George TR 2:30-4 2-135

18.755  Introduction to Lie Groups  Helgason, Sigurdur TR 1-2:30 2-135
  Differential Geometry, Lie Groups and Symmetric Spaces Helgason 0821828487

18.785  Analytic Number Theory  Bucur, Alina TR 1-2:30 8-205
  Multiplicative Number Theory, 3rd edit* Davenport 0387950974
  A Course in Arithmetic, corrected 5th printing  Serre 0387900403


"attractive"

18.314  Combinatorial Analysis  Stanley, Richard P. MWF 1 2-136
  A Walk Through Combinatorics, 2nd edition Bona 9812568859

18.315  Combinatorial Theory  Kahn, Jeffrey MWF 11 2-135
  (The Probabilistic Method 2nd edit)* Alon & Spencer 0471370460

18.712  Introduction to Representation Theory  Etingof, Pavel I. TR 2:30-4 2-136
  Representation Theory: A First Course, corrected 5th printing* Fulton & Harris 0387974954
  (Linear Representations of Finite Groups, corrected 5th printing)* Serre 0387901906

18.784  Seminar in Number Theory  Kumar, Abhinav TR 1-2:30 2-255

18.787  Topics in Number Theory  Poonen, Bjorn TR 9:30-11 4-149

18.915  Graduate Topology Seminar  Lurie, Jacob MWF 3 2-142

18.917  Topics in Algebraic Topology  Behrens, Mark J. TR 9:30-11 2-151

18.979  Graduate Geometry Seminar  Mrowka, Tomasz S. MW 1-2:30 4-145


"others"

18.103  Fourier Analysis-Theory and Applications  Lenzmann, Enno MWF 10 2-102
  Fourier Analysis: An Introduction Stein & Shakarchi 069111384x

18.104  Seminar in Analysis  Hur, Vera Mikyoung MWF 2 2-136

18.117  Topics in Several Complex Variables  Guillemin, Victor W. MWF 11 2-255

18.325  Topics in Applied Mathematics  Yu, Josephine MW 9:30-11 2-139

18.335  Introduction to Numerical Methods  Johnson, Steven G. MWF 3 4-231

18.338  Eigenvalues of Random Matrices  Edelman, Alan MWF 12 2-139

18.384  Seminar in Physical Mathematics  Reis, Pedro Miguel TR 11-12:30 2-340

18.404  Theory of Computation  Sipser, Michael F. TR 11-12:30 2-190
  Introduction to the Theory of Computation, 2nd edition Sipser 0534950973

18.S34  Mathematical Problem Solving  Kedlaya, Kiran S. MW 3-4 2-136
                                               Stanley, Richard P. MW 3-4 2-136
                                               Rogers, Hartley Jr. MW 3-4 2-136


"For auditing purpose / undergraduate courses"

18.152  Introduction to Partial Differential Equations  Kotschwar, Brett TR 2:30-4 2-255