Bücher von Hermann Weyl

2014 Reprint of 1934 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. The lectures printed in this volume were delivered in the autumn of 1933. In this book the author presents a veritable pageant of ideas invoked by the then recent discoveries in physics. Many old ideas of philosophy are reopened and subjected to the interpretation of the findings of modern science.Chapters:Subjective Elements in Sense PerceptionWorld and ConsciousnessConstructive Character of Scientific Concepts and TheoriesRelativitySubject and Object in Quantum Physics

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The description for this book, Meromorphic Functions and Analytic Curves. (AM-12), will be forthcoming.

When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "e;conflicts of conscience"e;--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.

Explores fundamental concepts in arithmetic. This book begins with the definitions and properties of algebraic fields. It then discusses the theory of divisibility from an axiomatic viewpoint, rather than by the use of ideals. It also gives an introduction to p-adic numbers and their uses, which are important in modern number theory.

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, "e;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."e; 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.

Das Studium von Hermann Weyls Raum . Zeit . Materie ist auch heute noch lohnenswert. Als erste systematische Gesamtdarstellung der speziellen und allgemeinen Relativitätstheorie einschließlich der zugehörigen Mathematik setzt es sich gründlich mit den historischen Wurzeln auseinander. Die Betonung des Begriffs des linearen Zusammenhangs unabhängig von der Metrik kommt der heutigen Auffassung und den Verallgemeinerungen in den Eichtheorien entgegen. Für ein gründliches Verständnis der modernen Eichtheorie ist Weyls Buch immer noch eine wichtige Grundlage.