Levels of Infinity: Selected Writings on Mathematics and Philosophy (Dover Books on Mathematics)

This original anthology collects 11 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition. This original anthology assembles ten 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. 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. Anthology Of Eleven Essays By Mathematician Hermann Weyl, Originally Published 1930s-50s. Levels Of Infinity (1930) -- Topology And Abstract Algebra As Two Roads Of Mathematical Comprehension (1932) -- Emmy Noether (1935) -- Mathematical Way Of Thinking (1940) -- David Hilbert, 1862-1943 (1944) -- David Hilbert And His Mathematical Work (1944) -- Mathematics And Logic (1946) -- Relativity Theory As A Stimulus In Mathematical Research (1949) -- Half-century Of Mathematics (1951) -- Axiomatic Versus Constructive Procedures In Mathematics (1953) -- Why Is The World Four-dimensional? (1955). Hermann Weyl ; Translated And Edited With An Introduction And Notes By Peter Pesic. Includes Bibliographical References (pages 217-231) And Index. This original anthology collects 10 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition