The perception of symmetry in art and in nature has been appreciated since antiquity, with development of the underlying laws tracing back at least to Pythagorean times. By the end of the eighteenth century it was realized that the immense variety of natural crystal shapes could be accounted for on the basis of a rather small number of symmetry operations, of which some were equally applicable to biological systems. The mathematical theory of symmetry continued to mature throughout the last century, culminating in the independent discoveries in Russia, Germany, and England that a total of only 230 independent ways exist in which the operations of rotation, reflection, and translation can be combined to transform three-dimensional geometrical objects into themselves. Derivation of the 230 space groups depends ultimately on restricting the meaning of symmetry to that of a property of purely geometrical figures. A. V. Shubnikov and his collaborators, over the past three decades, expanded this concept of symmetry to include the sign of transformation operations.
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Anbieter: Better World Books, Mishawaka, IN, USA
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Anbieter: Books From California, Simi Valley, CA, USA
hardcover. Zustand: Good. Zustand des Schutzumschlags: Includes dust jacket. Dust jacket has some wear and tear, mainly to the edges. Artikel-Nr. mon0003410957
Anbieter: True Oak Books, Highland, NY, USA
Hardcover. Zustand: Good. Zustand des Schutzumschlags: No Dust Jacket. Translation. 420 pages; B&W illustrations. Graphs. Minor pencil markings on a couple of pages. Previous owner's name on front free endpaper and on the exterior edges of textblock. Light fading on spine and on cover edges. Minor foxing on the exterior edges of textblock. Good condition otherwise. No other noteworthy defects. ; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence. Artikel-Nr. TOB223-58416-A-2.35
Anbieter: Fundus-Online GbR Borkert Schwarz Zerfaß, Berlin, Deutschland
Zustand: Gut. XXV, 420 Seiten / p. Bibliotheksexemplar mit Signaturschild und Stempeln, ein gutes Exemplar / Library copy with signature label and stamps, a good copy - Cotents: Introduction - From Intuitive Concepts to the Definition of Symmetry -- Symmetry of One-Sided Rosettes -- Symmetry of Figures with a Singular Point -- Symmetry of One-Sided Bands -- Symmetry of Two-Sided Bands -- Symmetry of Rods -- Symmetry of Network Patterns - Two-Dimensional Continua and Semicontinua -- Symmetry of Layers -- Symmetry of Three-Dimensional Spaces - Discontinua and Continua -- Elements of Group Theory - The Classical Crystallographic Groups -- Groups of Generalized Symmetry - Antisymmetry and Colored Symmetry -- Symmetry in Science and Art - Conservation Laws - Symmetrization and Dissymmetrization of Physical Systems - Principle of Symmetry for Composite Systems. - A beautifully illustrated book of wide interest to modern science, this brilliant work offers a trenchant analysis of the symmetry method for revealing the invariants of transformations and for describing the inner structure of materials and ideal systems. -- The volume presents clear expositions of the theory of expansions, the derivation of limiting groups of color symmetry, and "color" tensors. In addition, the dissymmetrization principle of Pierre Curie is joined with the newly discovered principle of symmetrization to form a single symmetry principle of composite systems. The final chapter provides an intriguing study of the relevance of group theory to the symmetry (harmony) of art and music. A work of major significance, this well-designed volume is not only essential reading, but will offer many hours of pleasure for professionals and students alike. ISBN 9780306307591 Sprache: Englisch Gewicht in Gramm: 228 Originalpappband mit Originalumschlag / Hardcover with original dust jacket. Artikel-Nr. 1221116
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