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Symmetry

Hermann Weyl

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

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.

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Schlagwörter

Mysterium Cosmographicum, Indeterminate form, Real number, Crystal structure, Big O notation, Rectangle, Linear combination, Improper rotation, Automorphism, Orthogonal transformation, Wavelength, Rotational symmetry, Crystallography, Spacetime, Addition, Quadratic equation, Square root, Coordinate system, Algebra, Polynomial, Cartesian coordinate system, Icosahedron, Iteration, Two-dimensional space, Special case, Prime number, Cube (algebra), Tetrahedron, Horizontal plane, Variable (mathematics), Mathematician, Dodecahedron, Mathematics, Subgroup, Hypercomplex number, Linear map, Cyclic group, Commutative property, Pythagorean theorem, Real structure, Angle of rotation, Permutation, Quadratic form, Algebraic equation, Affine geometry, Geometric progression, Logarithmic spiral, Quantity, Finite group, Monomial, Rhombus, Null vector, Principia Mathematica, Symmetry, Simultaneity, Compass-and-straightedge construction, Metric space, Regular polygon, Equation, Rational number, Dimension, Quantum mechanics, Sign (mathematics), Coefficient, Integer, Dihedral group, Octahedron, Geometry, Four-dimensional space, Arithmetic