Concrete and Abstract in Modern Math

华罗庚 《数论导引 》序言
Preface on “Introduction to Number Theory” by Hua Luogeng (1956).

“Math evolved from concrete to abstract, the former is the source of inspiration of the latter. One cannot just study the abstract definitions and theorems without going back to the source of concrete examples, which has proven valuable applications in Physics and other sciences.”

“Mathematics, in essence, is about the study of Shapes and Numbers. From Shapes give rise to the Geometrical Intuition, from Numbers give the Relationship and Concepts



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