Master's Level Mathematics Curriculum

Algebra:
This recommendation assumes that a year-long undergraduate course at the level of A First Course in Abstract Algebra by Fraleigh has been completed.

• Algebra by Lang
• Algebra by Hungerford

Analysis:
This recommendation assumes that a year-long undergraduate course at the level of "Baby Rudin" has been completed.

• Real and Functional Analysis and Complex Analysis by Lang
• Real and Complex Analysis and Functional Analysis by Rudin

Topology:
This recommendation assumes that a year-long undergraduate course in point-set topology at the level of Topology by Munkres has been completed.

• A Basic Course in Algebraic Topology by Massey, Algebraic Topology by Fulton, and Elements of Algebraic Topology by Munkres
• Differential Topology by Guillemin & Pollack