1913年，外尔出版了Die Idee der Riemannschen Fläche (The Concept of a Riemann Surface，《黎曼面的概念》，有英译本)一书。在书中他给出了处理黎曼面的一般方法。为了让黎曼面的理论更加严格，外尔使用了点集拓扑。而这一方法后来被推广到一般的流形上。他为此参考了鲁伊兹·布劳威尔之前在拓扑学上的工作。
他的对物理学的探索基于埃德蒙德·胡塞尔的现象学，特别是胡塞尔在1913年的 《纯粹现象学通论 纯粹现象学和现象学哲学的观念(I)》（Ideen zu einer reinen Phänomenologie und phänomenologischen Philosophie. Erstes Buch: Allgemeine Einführung in die reine Phänomenologie ）。 显然地，这是外尔处理爱因斯坦的有争议的对于恩斯特·马赫的现象物理学的依赖性的方式。[來源請求]胡塞尔对戈特洛布·弗雷格 关于他的算术哲学的最早的著作的批评反应强烈。彼时他正在探索对于数学和其他结构的感觉，而这正是弗雷格从经验参考中区分出来的。所以有充足的理由认为，规范理论是从外尔的作为物理量度的形式的观点，而不是一种物理理论发展起来的。[來源請求]
ed. K. Chandrasekharan,Hermann Weyl, 1885–1985, Centenary lectures delivered by C. N. Yang, R. Penrose, A. Borel, at the ETH Zürich Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo – 1986, published for the Eidgenössische Technische Hochschule, Zürich.
Deppert, Wolfgang et al., eds., Exact Sciences and their Philosophical Foundations. Vorträge des Internationalen Hermann-Weyl-Kongresses, Kiel 1985, Bern; New York; Paris: Peter Lang 1988,
Ivor Grattan-Guinness, 2000. The Search for Mathematical Roots 1870-1940. Princeton Uni. Press.
Thomas Hawkins, Emergence of the Theory of Lie Groups, New York: Springer, 2000.
Kilmister, C. W., Zeno, Aristotle, Weyl and Shuard: two-and-a-half millennia of worries over number, The Mathematical Gazette (The Mathematical Gazette, Vol. 64, No. 429), October 1980, 64 (429): 149–158, JSTOR 3615116, doi:10.2307/3615116.
In connection with the Weyl–Pólya bet, a copy of the original letter together with some background can be found in: Pólya, G. Eine Erinnerung an Hermann Weyl. Mathematische Zeitschrift. 1972, 126 (3): 296–298. doi:10.1007/BF01110732.
Erhard Scholz; Robert Coleman; Herbert Korte; Hubert Goenner; Skuli Sigurdsson; Norbert Straumann eds. Hermann Weyl's Raum – Zeit – Materie and a General Introduction to his Scientific Work (Oberwolfach Seminars) (ISBN3-7643-6476-9) Springer-Verlag New York, New York, N.Y.
Skuli Sigurdsson. "Physics, Life, and Contingency: Born, Schrödinger, and Weyl in Exile." In Mitchell G. Ash, and Alfons Söllner, eds., Forced Migration and Scientific Change: Emigré German-Speaking Scientists and Scholars after 1933 (Washington, D.C.: German Historical Institute and New York: Cambridge University Press, 1996), pp. 48–70.
Weyl, Hermann, Peter Pesic , 编, Levels of Infinity / Selected Writings on Mathematics and Philosophy, Dover, 2012, ISBN 978-0-486-48903-2
