Books written by Hermann Weyl

Space Time Matter: It Is As If a Wall Which Separated Us from Truth Has Collapsed

Weyl printed technical and some general works on logic, symmetry, space, time, matter, philosophy, and the history of mathematics. One of the first to conceive the combination of general relativity and the laws of electromagnetism.
Mind and Nature: Selected Writings on Philosophy, Mathematics, and Physics

Victory and Vexation in Science: Einstein, Bohr, Heisenberg, and Others. Cambridge, MA: Harvard University Press. James, I. M., ed. 1999. History of Topology. Amsterdam: Elsevier. Jammer, Max. 1960. Concepts of Space. New York: Harper.
The Classical Groups: Their Invariants and Representations

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...
Space, Time, Matter

"The standard treatise on the general theory of relativity." — Nature "Whatever the future may bring, Professor Weyl's book will remain a classic of physics." — British Journal for Philosophy and Science Reflecting the revolution in ...
Levels of Infinity: Selected Writings on Mathematics and Philosophy

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: Selected Writings on Mathematics and Philosophy

... (2) he realized the necessity of introducing infinite prime spots; (3) he formulated the general law of reciprocity in terms of the norm symbol; (4) he saw that by means of that law one can extend the definition of the norm symbol ...
Philosophy of Mathematics and Natural Science

This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.
Symmetry

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, ...
The Concept of a Riemann Surface

Thus the concept of a regular analytic differential at a point po is independent of the choice of local parameter. If dz/dt has a zero of order m at t = 0, then we also say that the differential dz has a zero of order m (or is of order ...
The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity

Here are the 11 papers that forged the general and special theories of relativity: seven papers by Einstein, plus two papers by Lorentz and one each by Minkowski and Weyl.
Algebraic Theory of Numbers

This work explores the fundamental concepts in arithmetic.
The Classical Groups: Their Invariants and Representations

The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are important in understanding the group-theoretic structure of quantum mechanics.
The Theory of Groups and Quantum Mechanics

This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, ...
Symmetry

Starting from the concept that symmetry equals harmony of proportions, this book develops first the geometric concept of symmetry in its forms as bilateral, translatory, rotational, ornamental, and crystallographic and finally moves to the ...
Mind and Nature

A new study of the mathematical-physical mode of cognition.