The Continuum

The Continuum
Author: Hermann Weyl
Publisher: Courier Corporation
Total Pages: 165
Release: 1994-01-01
Genre: Mathematics
ISBN: 0486679829

Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.

Mind and Nature

Mind and Nature
Author: Hermann Weyl
Publisher: University of Pennsylvania Press
Total Pages: 112
Release: 2015-09-30
Genre: Philosophy
ISBN: 1512819328

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

Symmetry

Symmetry
Author: Hermann Weyl
Publisher: Princeton University Press
Total Pages: 176
Release: 2015-07-06
Genre: Mathematics
ISBN: 1400874343

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.

Hermann Weyl: 1885-1985

Hermann Weyl: 1885-1985
Author: C.N. Yang
Publisher: Springer Science & Business Media
Total Pages: 134
Release: 1986-11
Genre: Mathematics
ISBN: 9783540168430

Published for the Eidgenössische Technische Hochschule Zürich

Levels of Infinity

Levels of Infinity
Author: Hermann Weyl
Publisher: Courier Corporation
Total Pages: 258
Release: 2013-09-26
Genre: Mathematics
ISBN: 0486266931

Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.

The Concept of a Riemann Surface

The Concept of a Riemann Surface
Author: Hermann Weyl
Publisher: Courier Corporation
Total Pages: 210
Release: 2013-12-31
Genre: Mathematics
ISBN: 048613167X

This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Algebraic Theory of Numbers. (AM-1), Volume 1

Algebraic Theory of Numbers. (AM-1), Volume 1
Author: Hermann Weyl
Publisher: Princeton University Press
Total Pages: 240
Release: 2016-04-21
Genre: Mathematics
ISBN: 140088280X

In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.

Equivalence, Invariants and Symmetry

Equivalence, Invariants and Symmetry
Author: Peter J. Olver
Publisher: Cambridge University Press
Total Pages: 546
Release: 1995-06-30
Genre: Mathematics
ISBN: 9780521478113

Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.