即使不考虑数学之外的应用，数学也是一门有趣的学科，而纯数学则强调数学本身的基本思想。纯粹数学的学习还可以为数学和统计学所有领域的研究生学习提供出色的准备，也可以为希望最终从事法律，医学或其他专业的学生提供良好的专业培训。
Mathematics is an intriguing discipline even without regard to applications outside mathematics, and pure mathematics emphasizes fundamental ideas in mathematics itself. The study of pure mathematics also can be excellent preparation for graduate study in all areas of mathematics and statistics, as well as being good pre-professional training for students wanting eventually to end up in law, medicine or other professions.