……能力。同理,也可以看看陶哲轩那篇经典博文《数学不仅是严谨和证明》(There's more to mathematics than rigour and proofs)https://terrytao.wordpress.com/career-advice/theres-more-to-.... 7. H.S.M. 考克斯特,《An Introduction to Geometry》。一本展示极度优美的经典几何学的书。这种内容在典型的数学课程里基本完全不会碰。
…skills. In a similar vein, see also Terence Tao's classic post There's more to mathematics than rigour and proofs https://terrytao.wordpress.com/career-advice/theres-more-to-.... 7.H.S.M Coxeter, An Introduction to Geometry. A book of very beautiful classical geometry. Something typically not touched on at all in a typical mathematics curriculum.
……还没提到 Hilbert 和 Cohn-Vossen 的《Geometry and the Imagination》。如果数学界有费曼等效物,那肯定是这本书。对于初等几何,费曼等效物大概是 H.S.M.Coxeter 的《Introduction to Geometry》。写得优美,每页都有图,涵盖所有几何主题(仿射、射影、有序、微分……)对于微分几何,没什么比得上《A Panoramic view…》
…mentioned yet "Geometry and the Imagination" by Hilbert and Cohn-Vossen. If there is a Feynman equivalent in math it is certainly this book. For elementary geometry, the Feynman equivalent is probably "Introduction to Geometry", by H.S.M.Coxeter. Beautifully written, figures on every page, covers all geometric topics (affine, projective, ordered, differential, ...) For differential geometry, nothing beats "A Panoramic view…
……能力。同理,也可以看看陶哲轩那篇经典博文《数学不仅是严谨和证明》(There's more to mathematics than rigour and proofs)https://terrytao.wordpress.com/career-advice/theres-more-to-.... 7. H.S.M. 考克斯特,《An Introduction to Geometry》。一本展示极度优美的经典几何学的书。这种内容在典型的数学课程里基本完全不会碰。
…skills. In a similar vein, see also Terence Tao's classic post There's more to mathematics than rigour and proofs https://terrytao.wordpress.com/career-advice/theres-more-to-.... 7.H.S.M Coxeter, An Introduction to Geometry. A book of very beautiful classical geometry. Something typically not touched on at all in a typical mathematics curriculum.
……还没提到 Hilbert 和 Cohn-Vossen 的《Geometry and the Imagination》。如果数学界有费曼等效物,那肯定是这本书。对于初等几何,费曼等效物大概是 H.S.M.Coxeter 的《Introduction to Geometry》。写得优美,每页都有图,涵盖所有几何主题(仿射、射影、有序、微分……)对于微分几何,没什么比得上《A Panoramic view…》
…mentioned yet "Geometry and the Imagination" by Hilbert and Cohn-Vossen. If there is a Feynman equivalent in math it is certainly this book. For elementary geometry, the Feynman equivalent is probably "Introduction to Geometry", by H.S.M.Coxeter. Beautifully written, figures on every page, covers all geometric topics (affine, projective, ordered, differential, ...) For differential geometry, nothing beats "A Panoramic view…