The Classical Groups by Hermann Weyl

The Classical Groups by Hermann Weyl

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.

Hermann Weyl (1885-1955), in addition to making essential contributions to most disciplines of mathematics, was also interested in theoretical physics. Weyl worked with Einstein on relativity theory at the Institute for Advanced Studies, in addition to teaching in Zürich, Göttingen, and Princeton. Hermann Weyl: The Quest for Beautiful Truths Hermann Weyl (1885-1955) was connected with three important institutions throughout his working years: the ETH Zurich (Switzerland Federal Institute of Technology Zurich), the ETH Zurich (Swiss Federal Institute of Technology Zurich), and the ETH Zurich (Swiss Federal Institute of Dover reissued two of Weyl's main books, The Theory of Groups and Quantum Mechanics and Space, Time, Matter, at the last decade of his life (he died in Princeton in 1955). In recent years, two more books, The Continuum and The Idea of a Riemann Surface, have been added to the Dover list. In the Author's Own Words: I tried to merge the truth and the beautiful in my work, but when I had to pick between the two, I typically went with the beautiful.

We don't like it when we're obliged to embrace mathematical truth because of a convoluted chain of formal conclusions and computations that we have to navigate blindly, link by link, by touch. We want to get a sense of the goal and the path first; we want to grasp the concept of proof and the larger context. A modern mathematical proof is similar to a modern machine or a modern test setting in that the basic principles are veiled and practically undetectable beneath a slew of technical details. Space, Time, and Matter by Hermann Weyl has received critical acclaim as a physics classic.

...the first comprehensive treatment of Einstein's theory of relativity. The British Journal of Philosophy and Science is a publication dedicated to the study of philosophy and science in the United Kingdom

SKU	Nicht verfügbar
ISBN 13	9780691079233
ISBN 10	0691079234
Titel	The Classical Groups
Autor	Hermann Weyl
Serie	Princeton Mathematical Series
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Princeton University Press
Erscheinungsjahr	1946-10-21
Seitenanzahl	316
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar