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This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric. Kristopher Tapp is currently a mathematics professor at Saint Joseph's University. He is the author of 17 research papers and one well-reviewed undergraduate textbook, Matrix Groups for Undergraduates. He has been awarded two National Science Foundation research grants and several teaching awards.
Symmetry (Mathematics). --- Symmetry groups. --- Symmetry (Mathematics) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Algebra --- Groups, Symmetry --- Symmetric groups --- Invariance (Mathematics) --- Mathematics. --- Geometry. --- Social sciences. --- Mathematics, general. --- Mathematics in the Humanities and Social Sciences. --- Mathematics in Art and Architecture. --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Group theory --- Automorphisms --- Euclid's Elements --- Math --- Science --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Arts. --- Architecture—Mathematics. --- Arts, Fine --- Arts, Occidental --- Arts, Primitive --- Arts, Western --- Fine arts --- Humanities
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Group theory --- Symmetry groups. --- Modules (Algebra) --- Operator theory. --- Groupes symétriques --- Modules (Algèbre) --- Théorie des opérateurs --- 51 <082.1> --- Mathematics--Series --- Groupes symétriques --- Modules (Algèbre) --- Théorie des opérateurs --- Operator theory --- Symmetry groups --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Functional analysis --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra)
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The scientific monograph by the author Peter Mikus entitled ""Chiral Capillary Electrophoresis in Current Pharmaceutical and Biomedical Analysis"" provides a comprehensive view on the advanced capillary electrophoresis techniques aimed to current chiral bioanalysis. The advances in the chiral electrophoresis analytical approaches are divided and theoretically described in three sections involving (i) advanced chiral separations for the optimization of chiral resolution (separation mechanisms; electrophoresis techniques in capillary and microchip format; electrophoretic modes such as ITP, CZE/EKC, CEC; chiral additives / pseudophases / phases), (ii) advanced sample preparation for the on-line preconcentration, sample clean-up and analyte derivatization (implementation of electrophoretic effects such as stacking; non-electrophoretic effects such as SPE, chromatography, dialysis; combinations of these effects; multidimensional CE systems; instrumental schemes), (iii) advanced combinations of detection and electrophoresis for the optimization in qualitative and quantitative evaluation (the most important universal as well as selective detection approaches such as absorption and fluorescence spectrophotometry, electrochemical detection, mass spectrometry vs. (i) and/or (ii)). Real analytical potential (benefits and limitations) of these advanced analytical approaches is emphasized by selected performance parameters of the methods and illustrated by many current practical applications including chiral analyses of drugs, their (bio)degradation products and biomarkers in pharmaceutical and biological matrices. The author wishes the readers many inspirations in the creation of new innovative approaches in the field of advanced chiral electrophoresis techniques with the aim to overcome capabilities of the current analytical techniques.
Capillary electrophoresis. --- Chirality. --- Stereochemistry --- Symmetry (Physics) --- Enantiomers --- Capillary gel electrophoresis --- Capillary zone electrophoresis --- Gel electrophoresis --- Zone electrophoresis --- Toxicology and Pharmaceutical Science --- Pharmaceutical Science --- Pharmacology --- Pharmaceutical Chemistry --- Health Sciences
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Kac-Moody algebras. --- Automorphisms. --- Symmetric spaces. --- Kac-Moody, Algèbres de --- Automorphismes --- Espaces symétriques --- Group theory --- Automorphisms --- Kac-Moody algebras --- Symmetric spaces --- 51 <082.1> --- Spaces, Symmetric --- Geometry, Differential --- Algebras, Kac-Moody --- Lie algebras --- Symmetry (Mathematics) --- Mathematics--Series
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This is the first and only collection of essays honoring the work of Rudolf Bernet, a philosopher of worldwide authority. The essays are centered on three major themes of Bernet’s philosophical itinerary: life, seen from a phenomenological point of view, its relation to subjectivity, experiences and consciousness, and both seen as the ground for an original reflection on art, specifically paintings. The contributors are eminent phenomenologists and scholars closely related to Rudolf Bernet, as person and as philosopher: colleagues, friends and collaborators, former students. Taken as a whole, this volume is a testiment to Bernet’s philosophical inspiration and influence, and the enduring importance of his own books, articles and classes.
Philosophy --- Philosophical anthropology --- Aesthetics --- aesthetics --- esthetica --- filosofie --- existentialisme --- Aesthetics. --- Phenomenology. --- Philosophy (General). --- Philosophy, Comparative. --- Philosophy. --- Phenomenology . --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Art --- Criticism --- Literature --- Proportion --- Symmetry --- Philosophy, Modern --- Psychology --- Husserl, Edmund, --- Husserl, Edmund --- Husserl, Edmond --- Radio broadcasting Aesthetics
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Sounding Off brings together a selection of essays on philosophy of music written by Peter Kivy--the leading expert on the subject. The essays fall into four groups, corresponding to Kivy's major interests. Part I contains two essays on the nature of musical genius. In Part II, three essays take up the subject of authenticity in performance, and explore what Kivy terms 'the authenticity of interpretation'. Part III contains four essays concerning the muchdiscussed issues of musical representation and musical meaning. Finally, Part IV consists of three essays on the 'pure musical parameters': these are essays on 'music alone' or 'absolute music'--music as the pure, formal structure of (sometimes) expressive sound. Eight of the eleven essays presented here arepreviously unpublished, and the book includes two appendices which provide Kivy's responses to criticism.
Music --- Hermeneutics (Music) --- Musical aesthetics --- Aesthetics --- Music theory --- Philosophy and aesthetics --- Philosophy --- Aesthetics. --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Art --- Criticism --- Literature --- Proportion --- Symmetry --- Philosophy and aesthetics. --- Psychology --- Genius --- Performance
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Ordered algebraic structures --- Lattice theory. --- Automorphisms. --- Théorie des treillis --- Automorphismes --- 51 <082.1> --- Mathematics--Series --- Théorie des treillis --- Automorphisms --- Lattice theory --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Symmetry (Mathematics)
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Critical Communities and Aesthetic Practices brings together eminent international philosophers to discuss the inter-dependence of critical communities and aesthetic practices. Their contributions share a hermeneutical commitment to dialogue, both as a model for critique and as a generator of community. Two conclusions emerge: The first is that one’s relationships with others will always be central in determining the social, political, and artistic forms that philosophical self-reflection will take. The second is that our practices of aesthetic judgment are bound up with our efforts as philosophers to adapt ourselves and our objects of interest to the inescapably historical and indeterminate conditions of experience. The papers collected here address the issue that critical communities and aesthetic practices are never politically neutral and can never be abstracted from their particular contexts. It is for this reason that the contributors investigate the politics, not of laws, parties or state constitutions, but of open, indefinably critical communities such as audiences, peers and friends. Critical Communities and Aesthetic Practices is distinctive in providing a current selection of prominent positions, written for this volume. Together, these comprise a pluralist, un-homogenized collection that brings into focus contemporary debates on critical and aesthetic practices.
Aesthetics -- Philosophy. --- Aesthetics --- Visual Arts --- Philosophy & Religion --- Art, Architecture & Applied Arts --- Philosophy --- Visual Arts - General --- Social aspects --- Art and society. --- Philosophy. --- Social aspects. --- Art --- Art and sociology --- Society and art --- Sociology and art --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Aesthetics. --- Political philosophy. --- Phenomenology. --- Political Philosophy. --- Criticism --- Literature --- Proportion --- Symmetry --- Psychology --- Phenomenology . --- Political science --- Political philosophy --- Philosophy, Modern --- Radio broadcasting Aesthetics
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Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
geofysica --- Geophysics --- Theory of relativity. Unified field theory --- Mathematical physics --- elementaire deeltjes --- Elementary particles --- relativiteitstheorie --- geophysics --- wiskunde --- zwaartekracht --- kwantumleer --- Symmetry (Physics) --- Group theory --- Symétrie (Physique) --- Théorie des groupes --- Problems, exercises, etc. --- Problems, exercices, etc --- Problèmes et exercices --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Problems, exercices, etc.
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Group theoretical concepts elucidate fundamental physical phenomena, including excitation spectra of quantum systems and complex geometrical structures such as molecules and crystals. These concepts are extensively covered in numerous textbooks. The aim of the present monograph is to illuminate more subtle aspects featuring group theory for quantum mechanics, that is, the concept of dynamical symmetry. Dynamical symmetry groups complement the conventional groups: their elements induce transitions between states belonging to different representations of the symmetry group of the Hamiltonian. Dynamical symmetry appears as a hidden symmetry in the hydrogen atom and quantum rotator problem, but its main role is manifested in nano and meso systems. Such systems include atomic clusters, large molecules, quantum dots attached to metallic electrodes, etc. They are expected to be the building blocks of future quantum electronic devices and information transmitting algorithms. Elucidation of the electronic properties of such systems is greatly facilitated by applying concepts of dynamical group theory.
Nanostructures. --- Symmetry (Physics). --- Nanostructures --- Symmetry (Physics) --- Physics --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Nuclear Physics --- Technology - General --- Materials Science --- Atomic Physics --- Electron transport. --- Materials science. --- Physics. --- Quantum physics. --- Condensed matter. --- Nanotechnology. --- Materials Science. --- Quantum Physics. --- Materials Science, general. --- Mathematical Methods in Physics. --- Condensed Matter Physics. --- Electrons --- Energy-band theory of solids --- Free electron theory of metals --- Transport theory --- Nanoscience --- Quantum theory. --- Materials. --- Mathematical physics. --- Physical mathematics --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Molecular technology --- Nanoscale technology --- High technology --- Mathematics --- Materials --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Material science
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