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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,"…mehr
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.
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Autorenporträt
Hermann Weyl (1885-1955) ranks among the 20th century's greatest and most influential mathematicians. He was associated with Princeton's Institute for Advanced Study, the University of Gottingen, and ETH Zurich. His other Dover books include The Concept of a Riemann Surface (47004-0), The Theory of Groups and Quantum Mechanics (60269-9), and Space, Time, Matter (60267-2).Peter Pesic is a Tutor and Musician in Residence at St. John's College, Santa Fe, New Mexico. He has edited several books for Dover, including Beyond Geometry: Classic Papers from Riemann to Einstein (45350-2).
Inhaltsangabe
Introduction Levels of Infinity (1931) Topology and Abstract Algebra as Two Roads of Mathematical Comprehension (1932) Emmy Noether (1935) The 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) A Half-Century of Mathematics (1953) Axiomatic versus Constructive Procedures in Mathematics (1953) Why is the World Four-Dimensional? (1955) References
Introduction Levels of Infinity (1931) Topology and Abstract Algebra as Two Roads of Mathematical Comprehension (1932) Emmy Noether (1935) The 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) A Half-Century of Mathematics (1953) Axiomatic versus Constructive Procedures in Mathematics (1953) Why is the World Four-Dimensional? (1955) References
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