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Hermann Weyl

    9. november 1885 – 8. december 1955

    Hermann Weyl bol nemecký matematik, teoretický fyzik a filozof, ktorého práca mala významný vplyv na teoretickú fyziku aj čisto matematické disciplíny. Bol jedným z najvplyvnejších matematiíkov 20. storočia, ktorý sa snažil o univerzalizmus v matematike. Zaoberal sa priestorom, časom, hmotou, filozofiou, logikou, symetriou a históriou matematiky. Medzi jeho významné počiny patrí snaha o prepojenie všeobecnej relativity so zákonmi elektromagnetizmu.

    Mind and Nature
    Space-time-matter
    Symmetry
    The concept of a Riemann surface
    The Theory of Groups and Quantum Mechanics
    Philosophy of Mathematics and Natural Science
    • Philosophy of Mathematics and Natural Science

      • 332 stránok
      • 12 hodin čítania
      4,3(62)Ohodnotiť

      Exploring the intersection of mathematics and philosophy, Hermann Weyl delves into the conflicts between objective science and the uncertainties of philosophical inquiry. He argues that scientific advancements drive philosophical curiosity, shaping our understanding of the physical world. The book is structured into two parts, focusing on mathematics and physical sciences, and references influential thinkers like Descartes and Newton. Weyl's unique perspective offers a distinctive guide to comprehending science through philosophical frameworks, making this work unparalleled in its depth and insight.

      Philosophy of Mathematics and Natural Science
    • The Theory of Groups and Quantum Mechanics

      • 448 stránok
      • 16 hodin čítania

      This influential mathematics text applies group theory to quantum mechanics, covering key concepts such as unitary geometry, quantum theory, and various groups and their representations. It explores applications including rotation and Lorentz groups, as well as symmetric transformations. Authored by Hermann Weyl, a prominent mathematician and collaborator with Einstein, this work is recognized as a pioneering presentation of relativity theory and remains a classic in the field of physics.

      The Theory of Groups and Quantum Mechanics
    • This classic on the general history of functions was written by one of the 20th century's best-known mathematicians. Weyl combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

      The concept of a Riemann surface
    • Symmetry

      • 176 stránok
      • 7 hodin čítania
      3,8(22)Ohodnotiť

      One of the ideas by which man through the ages has tried to comprehend and create order, beauty, and perfection. Starting from the view that symmetry = harmony of proportions, this book gradually develops first the geometric concept of symmetry in its several forms as bilateral, translatory, rotational, ornamental, and crystallographic symmetry, and finally rises to the general abstract mathematical idea underlying all these special forms. This first paperback version of Hermann Weyl's widely-read essay includes the beautiful illustrations of the cloth cover edition.

      Symmetry
    • The book offers a thorough exploration of Einstein's theory of relativity, serving as a foundational text in physics. It delves into complex topics such as Euclidean and Riemannian spaces, general relativity, and the nature of gravitational waves and energy. Additionally, it discusses fundamental laws of conservation, making it an essential resource for understanding the intricacies of modern physics.

      Space-time-matter
    • Mind and Nature

      • 112 stránok
      • 4 hodiny čítania

      The lectures in this volume, delivered by Hermann Weyl in 1933, explore the philosophical implications of groundbreaking discoveries in physics, particularly in relation to quantum mechanics and general relativity. Weyl, a prominent mathematician and thinker, revisits classical philosophical concepts, interpreting them through the lens of modern scientific advancements. This work showcases his eloquence and deep engagement with the evolving landscape of science, making it a significant contribution to both mathematics and philosophy.

      Mind and Nature
    • Levels of Infinity

      • 256 stránok
      • 9 hodin čítania

      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.

      Levels of Infinity
    • Symmetrie

      • 232 stránok
      • 9 hodin čítania
      Symmetrie
    • 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.

      Gesammelte Abhandlungen 4
    • 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.

      Gesammelte Abhandlungen 2