🐯 Princeton Mathematics unofficial reading list 2026
← Back to Fields of Study
| Freshman level | |
|---|---|
| Calculus I / II / One Variable Calculus w/ Proofs MAT 103 / 104 / 210 (fa26) |
• Thomas’ Calculus, Early Transcendentals: Single Variable by Hass et al. |
| Math. for Economics / Life Sciences MAT 175 (fa26) |
◦ Calculus by Varberg et al. ◦ Thomas’ Calculus, Multivariable by Hass et al. |
| Sophomore level | |
|---|---|
| Multivariable Calculus MAT 201 (fa26) |
• Thomas’ Calculus, Multivariable by Hass et al. |
| Linear Algebra w/ Applications MAT 202 (fa26) |
• Linear Algebra w/ Applications by Otto Bretscher |
| Adv. Vector Calculus MAT 203 (fa26) |
◦ Vector Calculus by Marsden & Tromba |
| Numbers, Equations & Proofs MAT 214 (fa26) |
◦ The Higher Arithmetic: An Intro. to the Theory of Numbers by H. Davenport ◦ A Classical Intro. to Modern Number Theory by Ireland & Rosen ◦ An Intro. to the Theory of Numbers by Ivan Niven |
| Single Variable Analysis w/ an Intro. to Proofs MAT 215 (fa26) |
• Understanding Analysis by Stephen Abbott |
| Multivariable Analysis & Linear Algebra I MAT 216 (fa26) |
◦ An Intro. to Analysis by Robert C. Gunning |
| Junior level | |
|---|---|
| Multivariable Analysis I MAT 300 (fa26) |
• Mathematical Analysis I by Vladimir A. Zorich |
| Intro. to Real Analysis MAT 320 (fa26) |
• Real Analysis by Royden & Fitzpatrick |
| Numerical Analysis & Scientific Computing MAT 321 (fa26) |
• Numerical Linear Algebra by Trefethen and Bau • An Introduction to Numerical Analysis by Süli & Mayers |
| Analysis II: Complex Analysis MAT 335 (fa26) |
• Complex Analysis by Stein & Shakarchi |
| Applied Algebra MAT 340 (fa26) |
• Groups and Symmetry by Mark A. Armstrong |
| Algebra I MAT 345 (fa26) |
◦ Algebra by Michael Artin |
| Topology MAT 365 (fa26) |
• Topology by James Munkres |
| Probability & Stochastic Systems MAT 380 (fa26) |
◦ Fundamentals of Probability: With Stochastic Processes by Saeed Ghahramani ◦ Intro. To Probability by Bertsekas & Tsitsiklis ◦ Intro. to Probability Models by Sheldon M. Ross |
| Senior level | |
|---|---|
| Geometry & Number Theory: Arithmetic of Elliptic Curves MAT 419 (fa26) |
• The Arithmetic of Elliptic Curves by Joseph H. Silverman |
| Algebraic Geometry MAT 457 (fa26) |
• Basic Algebraic Geometry 1: Varieties in Projective Space by Shafarevich & Reid |