Levels of Infinity: Selected Writings on Mathematics and PhilosophyThis original anthology assembles eleven accessible essays by a giant of modern mathematics. Hermann Weyl (1885–1955) made lasting contributions to number theory as well as theoretical physics, and he was associated with Princeton's Institute for Advanced Study, the University of Göttingen, and ETH Zurich. Spanning the 1930s–50s, these articles offer insights into logic and relativity theory in addition to reflections on the work of Weyl's mentor, David Hilbert, and his friend Emmy Noether. Subjects include "Topology and Abstract Algebra as Two Roads of Mathematical Comprehension," "The Mathematical Way of Thinking," "Relativity Theory as a Stimulus in Mathematical Research," and "Why is the World Four-Dimensional?" Historians of mathematics, advanced undergraduates, and graduate students will appreciate these writings, many of which have been long unavailable to English-language readers. |
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Levels of Infinity: Selected Writings on Mathematics and Philosophy Hermann Weyl Limited preview - 2013 |
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Abelian abstract abstract algebra algebraic number fields analysis applied arbitrary arithmetical axiomatic axioms Brouwer classical coefficients complete complex numbers concept consists construction continuous continuum coordinates David Hilbert Dedekind defined differential dimensionality dimensions division domain edition Einstein elements Emmy Noether Euclidean space example exists Felix Klein formal formulas foundations fundamental geometry given Göttingen Hence Hermann Weyl Hilbert space idea ideal idčles infinite infinitesimal infinity integral equations intuitive invariants Klein linear transformations logical manifold mapping Math mathematician mathematics means method metric multiplication n-dimensional natural numbers norm notion number theory operations orthogonal orthogonal group p-adic Pesic Philosophy physics plane polynomials possible prime number prime spots principle problems proof quadratic form quantum rational numbers real numbers relations relativity theory representations Riemann surface Riemannian ring sequence structure symbolic theorem theory of algebraic topological University variable vector space Weyl's