Hermann Weyl

Hermann Weyl (1885-1955) kuulub nende silmapaistvate 19.-20. sajandi matemaatikute hulka, kelle huvid läksid kaugemale puhtast matemaatikast ja kelle ideed olid olulised ka füüsikas. Tema raamat "Sümmeetria" uurib sümmeetria mõistet, alustades ideest, et see sümmeetria = proportsioonide harmoonia. Autor pöördub järk-järgult sümmeetria lihtsamate vormide ja ilmingute juurest abstraktsemate poole ning jõuab kristallograafiani. Weyl uurib kõigi nende erivormide aluseks olevat üldist abstraktset matemaatilist ideed, kasutades selleks rohkelt illustratsioone alustades antiikkunstist ja lõpetades lumehelvestega. See olulise tähtsusega teos uurib sümmeetria printsiibi rakenduste suurt mitmekesisust ja olulisust.Selle raamatu väljaandmist on toetanud Eesti Kultuurkapital ja Postimees.

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Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

From the Preface: “The name of Hermann Weyl is enshrined in the history of mathematics. A thinker of exceptional depth, and a creator of ideas, Weyl possessed an intellect which ranged far and wide over the realm of mathematics and beyond. His mind was sharp and quick, his vision clear and penetrating. Whatever he touched he adorned. His personality was suffused with humanity and compassion and a keen aesthetic sensibility. Its fullness radiated charm. He was young at heart to the end. By precept and example, he inspired many mathematicians and influenced their lives. The force of his ideas has affected the course of science. He ranks among the few universalists of our time. This collection of papers is a tribute to his genius. It is intended as a service to the mathematical community….These papers will no doubt be a source of inspirations to scholars through the ages.” Volume IV comprises 46 articles written between 1941 and 1953.

From the Preface: “The name of Hermann Weyl is enshrined in the history of mathematics. A thinker of exceptional depth, and a creator of ideas, Weyl possessed an intellect which ranged far and wide over the realm of mathematics, and beyond. His mind was sharp and quick, his vision clear and penetrating. Whatever he touched he adorned. His personality was suffused with humanity and compassion, and a keen aesthetic sensibility. Its fullness radiated charm. He was young at heart to the end. By precept and example, he inspired many mathematicians, and influenced their lives. The force of his ideas has affected the course of science. He ranks among the few universalists of our time. This collection of papers is a tribute to his genius. It is intended as a service to the mathematical community….These papers will no doubt be a source of inspirations to scholars through the ages.” Volume I comprises 29 articles written between 1908 and 1917.

?From the Preface: “The name of Hermann Weyl is enshrined in the history of mathematics. A thinker of exceptional depth, and a creator of ideas, Weyl possessed an intellect which ranged far and wide over the realm of mathematics, and beyond. His mind was sharp and quick, his vision clear and penetrating. Whatever he touched he adorned. His personality was suffused with humanity and compassion, and a keen aesthetic sensibility. Its fullness radiated charm. He was young at heart to the end. By precept and example, he inspired many mathematicians, and influenced their lives. The force of his ideas has affected the course of science. He ranks among the few universalists of our time. This collection of papers is a tribute to his genius. It is intended as a service to the mathematical community….These papers will no doubt be a source of inspirations to scholars through the ages.” Volume III comprises 52 articles written between 1926 and 1940.

? From the Preface: “The name of Hermann Weyl is enshrined in the history of mathematics. A thinker of exceptional depth, and a creator of ideas, Weyl possessed an intellect which ranged far and wide over the realm of mathematics, and beyond. His mind was sharp and quick, his vision clear and penetrating. Whatever he touched he adorned. His personality was suffused with humanity and compassion, and a keen aesthetic sensibility. Its fullness radiated charm. He was young at heart to the end. By precept and example, he inspired many mathematicians, and influenced their lives. The force of his ideas has affected the course of science. He ranks among the few universalists of our time. This collection of papers is a tribute to his genius. It is intended as a service to the mathematical community….These papers will no doubt be a source of inspirations to scholars through the ages.” Volume II comprises 38 articles written between 1918 and 1926.

The Theory of Groups and Quantum Mechanics is a book written by Hermann Weyl, a German mathematician and physicist. The book was first published in 1928 and has since become a classic in the field of quantum mechanics. The book explores the relationship between group theory and quantum mechanics. Group theory is a branch of mathematics that deals with the study of symmetry and transformation. In quantum mechanics, group theory is used to describe the symmetries of physical systems. Weyl's book provides an in-depth discussion of the mathematical concepts and principles behind group theory and quantum mechanics. He covers topics such as the representation theory of groups, the theory of Lie algebras, and the application of group theory to the study of atomic spectra. The book is aimed at advanced undergraduate and graduate students in mathematics and physics. It assumes a solid background in mathematical analysis and linear algebra. Overall, The Theory of Groups and Quantum Mechanics is a seminal work in the field of quantum mechanics and remains an important reference for researchers and students in the field.This is a new release of the original 1931 edition.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Space, Time, Matter is a philosophical treatise written by the German mathematician and physicist Hermann Weyl. The book deals with the fundamental concepts of space, time, and matter, and their interrelationships. Weyl explores the implications of the theory of relativity, which had been developed by Albert Einstein a few years earlier, and the impact it had on our understanding of the universe.The book is divided into three parts, each dealing with a different aspect of the subject matter. The first part focuses on the concept of space and its relation to geometry. Weyl argues that space is not an absolute entity but rather a relative one that depends on the observer's perspective. He also discusses the nature of space-time and the concept of curvature.The second part of the book deals with the concept of time and its relation to physics. Weyl explores the implications of the theory of relativity on our understanding of time and the concept of simultaneity. He also discusses the nature of causality and the role it plays in the universe.The final part of the book deals with the concept of matter and its relation to energy. Weyl explores the nature of matter and the role it plays in the universe. He also discusses the concept of wave-particle duality and the implications it has for our understanding of the physical world.Overall, Space, Time, Matter is a groundbreaking work that explores the fundamental concepts of the universe and their interrelationships. It is a must-read for anyone interested in the philosophy of science and the nature of the universe.This is a new release of the original 1950 edition.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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.

Aus dem Vorwort von Jürgen Ehlers zur 7. Auflage: "Die ... Entwicklung der Physik macht verständlich, warum ein so "altes" Werk wie Raum, Zeit, Materie noch aktuell ist: Die Riemann-Einsteinsche Raumzeitstruktur, die von Weyl so meisterhaft beschrieben und aus ihren mathematischen und physikalischen Wurzeln hervorwachsend dargestellt wird, ist immer noch die physikalisch umfassendste und erfolgreichste Raumzeittheorie, die bisher entwickelt und mit der Erfahrung konfrontiert wurde. (...) Als erstes Lehrbuch der noch neuen Theorie setzt es sich gründlicher als spätere Bücher mit den historischen Wurzeln und den sachlichen Motiven auseinander, die zur Einführung der damals neuen Begriffe wie Zusammenhang und Krümmung in die Physik geführt haben. Zweitens ist es von dem vielleicht letzten Universalisten geschrieben worden, der alle wesentlichen Entwicklungen der Mathematik und Physik seiner Zeit nicht nur überblickte, sondern in wesentlichen Teilen mitgestaltete. Das Studium dieses Werkes vermittelt nicht nur die Grundzüge der beiden Relativitätstheorien, sondern zeigt Zusammenhänge mit anderen Ideen, nicht zuletzt auch der Naturphilosophie auf."