Recommended Reading
FOR PRELIM CLASSES: |
| TOPOLOGY: |
Introduction to Topological Manifolds by John M. Lee |
| Differential Topology by V. Guillemin and A. Pollack |
| ABSTRACT ALGEBRA: |
| Abstract Algebra by D. Dummit and R. Foote |
| REAL ANALYSIS: |
| Real Analysis by Folland |
| Real and Complex Analysis by Rudin |
| Real Analysis: Measure Theory, Integration, and Hilbert Space by E. Stein and R. Shakarchi |
COMPLEX ANALYSIS: |
| Complex Analysis by W. Gamelin, (Really liked this one) |
| Complex Analysis by J. Marsden |
FOR UNDERGRADS/GRADS INTERESTED IN NUMBER THEORY: |
| A Primer of Analytic Number Theory by Jeffrey Stopple |
| An Invitation to Modern Number Theory by S.J. Miller and R. Takloo-Bighash |
FOR THE NON-EXPERT INTERESTED IN MATHEMATICS: |
| The Millennium Problems by Kevin Devlin |