数学是普林斯顿大学用途最广泛的专业之一，在这里的学生有机会与世界上最好的数学家一起在纯粹和应用数学的各个基本领域开展合作。专业课程非常灵活，为具有严格数学证明背景的学生以及具有较强数学才能和兴趣的新手提供了令人兴奋的机会。对于我们的许多学生而言，第一门证明课程（通常为215（单个变量的荣誉分析））是真正的数学思维方面的第一门认真的经历，而未来的专业人士通常会认为这是一项极具挑战性但不可抗拒的经历。我们的本科专业由一群思想丰富，思想独立，充满好奇心的人组成。近年来，我们拥有大约70-75个专业，他们的学习课
Mathematics is a discipline inseparable from scientific and philosophical inquiry. The rigorous and logical thinking that characterizes mathematics is an essential tool for theory building of any kind because its clarity and precision expose hidden assumptions, inner inconsistencies and deep structural similarities in problems that seem unrelated on the surface. Our courses cover a wide variety of well-established mathematical knowledge that is actively under development by today's mathematicians and that offers fundamental tools for scientists and engineers of all kinds. Students begin their work in the department with a thorough training in rigorous logical reasoning and mathematical proofs in the context of analysis and linear algebra. Next, they complete a survey of the main areas of modern mathematics by completing core courses in real and complex analysis, in algebra and in geometry/topology or discrete mathematics. Then students are free to take courses exploring a wide variety of topics in both pure and applied mathematics to acquire a good general knowledge of the main areas of current mathematical work. In the independent work, students learn how to move beyond the classical knowledge found in textbooks to explore contemporary research literature through collaboration with their peers and with active researchers in mathematics or applied fields.