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Symmetry through the Eyes of a Chemist, 3rd Edition Magdolna Hargittai and István Hargittai are PhD's (Eötvös University), DSc's (Hungarian Academy of Sciences), and Dr.h.c.'s (University of North Carolina). They are currently affiliated with the Department of Inorganic and Analytical Chemistry and Materials Structure and Modeling Research Group of the Hungarian Academy of Sciences at the Budapest University of Technology and Economics. They are also members of the Hungarian Academy of Sciences and the Academia Europaea (London). Reviews of previous editions This has to be the most delightful book on symmetry ever written!  F.L. Pilar, Elementary Quantum Chemistry The book gives a fascinating overview of the rich variety of applications of symmetry, showing both its power and its aesthetic appeal.  Science Education by aesthetic appeal.  Nature The cosmopolitan eye ¦ good-humored and clearly delighted by diversity, informs this entire book. The work offers a broad new perspective.  Scientific American In the refreshing style of scientists with an almost renaissance versatility.  New Scientist This beautiful book ¦ looks at symmetry as a unifying theme in the nature of things.  Mathematical Reviews ¦gives the reader a broad perspective ¦  The Mathematical Intelligencer An outstanding book that succeeds admirably on a number of levels ¦  Bowker's Good Reading I warmly recommend it to all chemists.  Journal of Chemical Education Succeeds not only in demonstrating how central [in] the study of all fields of chemistry symmetry consideration [is] but how these same concepts of symmetry can be traced through all our cultural traditions unifying and contrasting diverse endeavors in literature, music, and art.  Journal of the American Chemical Society The book ¦to which I shall return frequently and with considerable pleasure.  Chemistry and Industry

Molecular theory --- Symmetry (Physics) --- Fysische chemie --- Symmetrie ; natuurwetenschappen --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- Chemistry, Physical and theoretical --- Matter --- Constitution

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In 1915 Emmy Noether was invited by Klein and Hilbert to Göttingen to assist them in understanding the law of conservation of energy in Einstein’s new general theory of relativity. She succeeded brilliantly. In the Invariante Variationsprobleme, published in 1918, she proved a fundamental theorem linking invariance properties and conservation laws in any theory formulated in terms of a variational principle, and she stated a second theorem which put a conjecture of Hilbert in perspective and furnished a proof of a much more general result. This book makes the Invariante Variationsprobleme accessible in an English translation. It presents an analysis of the work of Noether’s precursors, reformulates her argument in a more modern mathematical language, and recounts the strange history of the article’s reception in the mathematics and physics communities. This study shows how her two theorems ultimately became the basis for any deep understanding of the role of symmetries in both classical and quantum physics. The Noether Theorems, a translation of Les Théorèmes de Noether whose French text has been revised and expanded, provides rich documentation drawn from both primary and secondary sources. This book will be of interest to historians of science, to teachers of mathematics, mechanics and physics, and to mathematicians and mathematical physicists. Also by Yvette Kosmann-Schwarzbach: Groups and Symmetries: From Finite Groups to Lie Groups, © 2010 Springer, ISBN: 978-0-387-78865-4.

Mathematics --- geschiedenis --- wiskunde --- Calculus of variations. --- Noether's theorem. --- Symmetry (Physics). --- Mathematics. --- History. --- History of Mathematical Sciences. --- Annals --- Auxiliary sciences of history --- Math --- Science --- Noether, Emmy, --- Influence. --- Noether, Amalie Emmy, --- Noether, E.

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Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: • Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus • Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux) • Self-contained chapters, appendices, comprehensive bibliography • More than 350 exercises (most with detailed hints for solutions) further explore main concepts • Serves as an excellent main text for a one-year course in Lie group theory • Benefits physicists as well as mathematicians as a reference work.

algebra --- topologie (wiskunde) --- Mathematical physics --- Topological groups. Lie groups --- Algebra --- wiskunde --- Group theory --- fysica --- Representations of groups --- Invariants --- Symmetry (Mathematics) --- Lie groups --- Représentations de groupes --- Analyse multidimensionnelle --- Symétrie (Mathématiques) --- Groupes de Lie --- Algèbre --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Representations of groups. --- Invariants. --- Symmetry (Mathematics). --- Algebra. --- Lie groups. --- Group theory. --- Geometry. --- Mathematical physics. --- Topological Groups. --- Group Theory and Generalizations. --- Mathematical Methods in Physics. --- Topological Groups, Lie Groups. --- General Algebraic Systems. --- Groups, Topological --- Continuous groups --- Physical mathematics --- Physics --- Mathematics --- Euclid's Elements --- Mathematical analysis --- Groups, Theory of --- Substitutions (Mathematics) --- Physics. --- Topological groups. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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The potentiality of phenomenological aesthetics is enormous, many figures have contributed to it during a time span of over a century, but this is the first work thoroughly to show its breadth, depth, and continuing fecundity. Moritz Geiger, Roman Ingarden, Fritz Kaufmann, Jean-Paul Sartre, Maurice Merleau-Ponty, and Mikel Dufrenne are the central figures and receive substantial treatment. A score of other influential individuals, including Antonio Banfi, Simone de Beauvoir, Oskar Becker, Jacques Derrida, Hans-Georg Gadamer, Martin Heidegger, Michel Henry, Dietrich von Hildebrand, Maurice Natanson, Nishida Kitaro, Jose Ortega y Gasset, Jan Patocka, Paul Ricoeur, Heinrich Rombach, Max Scheler, Alfred Schutz, Gustav Spet, and France Veber also have entries devoted to them. In addition, there are over two dozen entries on such topics such as dream, empathy, enjoyment, imagination, sensation, on style, ecology, gender, and interculturality, and then on areas including architecture, film, and theater. The introduction includes an extensive sketch of the history of phenomenological investigation in this sub-discipline of philosophy. All entries are written by the best relevant specialists, all the entries have bibliographies, and a selected bibliography for the whole is appended. This handbook will be the foundation for many more decades of investigation.

Theory of knowledge --- Aesthetics --- Phenomenology --- Phénoménologie --- Esthétique --- EPUB-LIV-FT LIVHUMAI SPRINGER-B --- Philosophy, Modern --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Philosophy --- Art --- Criticism --- Literature --- Proportion --- Symmetry --- Psychology --- Aesthetics. --- Phenomenology. --- Phenomenology . --- Philosophy. --- Modern philosophy. --- Philosophy, general. --- Modern Philosophy. --- History of Philosophy. --- Modern philosophy --- Mental philosophy --- Humanities --- Radio broadcasting Aesthetics --- Phénoménologie --- Esthétique --- Philosophy, Modern. --- Early Modern Philosophy. --- History.

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Artworks potentially convey two kinds of knowledge. They obviously afford knowledge of art itself, and they also afford general empirical knowledge, especially knowledge of human psychology and value. Knowing Art collects ten original essays written by leading philosophers who distill and build upon recent work at the intersection of aesthetics and epistemology. Specific topics addressed include the objectivity of critical knowledge, the quality of critical testimony, the roles of principles and perception in critical reasoning, phenomenal knowledge of what a work of art is like, the acquisition of factual information and psychological understanding from fictions, and the limits of images as sources of historical evidence. In addressing these topics, the volume also explores the challenges that art poses for theories of knowledge as well as the challenges that artistic knowledge poses to traditional views about art.

ethiek --- Theory of knowledge --- kennisleer --- kunst --- epistomologie --- General ethics --- Aesthetics --- esthetica --- epistemologists --- Art --- aesthetics --- Aesthetics. --- Knowledge, Theory of. --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Philosophy --- Criticism --- Literature --- Proportion --- Symmetry --- Psychology --- Knowledge, Theory of --- Epistemology --- Genetic epistemology. --- Ethics. --- Arts. --- Epistemology. --- Arts, Fine --- Arts, Occidental --- Arts, Western --- Fine arts --- Humanities --- Deontology --- Ethics, Primitive --- Ethology --- Moral philosophy --- Morality --- Morals --- Philosophy, Moral --- Science, Moral --- Values --- Developmental psychology --- Arts, Primitive --- Radio broadcasting Aesthetics