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Symmetry

Hermann Weyl

PDF
ca. 18,99

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

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