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1. |
Record Nr. |
UNINA9910739411603321 |
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Titolo |
Quadratic and higher degree forms / / Krishnaswami Alladi ... [et al.], editors |
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Pubbl/distr/stampa |
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New York, : Springer, c2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (ix, 298 pages) |
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Collana |
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Developments in mathematics, , 1389-2177 ; ; v. 31 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Forms, Quadratic |
Lattice theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Papers from three conferences on Quadratic forms in 2009 and 2010. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Preface -- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki) -- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich) -- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch) -- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers) -- Quadratic and Automorphic Forms (J. Hanke) -- Integral Positive Ternary Quadratic Forms (W. Jagy) -- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala) -- On the Length of Binary Forms (B. Reznick) -- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot) -- Identifying the Matrix Ring (J. Voight). |
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Sommario/riassunto |
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In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School. The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadratic forms and automorphic forms, representation of integers and forms by quadratic forms, connections between quadratic forms and lattices, and algorithms for quaternion algebras and quadratic forms. The book will be of interest to graduate students and mathematicians wishing to study quadratic and higher degree forms, as well as to established researchers in these areas. |
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Quadratic and Higher Degree Forms contains research and semi-expository papers that stem from the presentations at conferences at the University of Florida as well as survey lectures on quadratic forms based on the instructional workshop for graduate students held at the Arizona Winter School. The survey papers in the volume provide an excellent introduction to various aspects of the theory of quadratic forms starting from the basic concepts and provide a glimpse of some of the exciting questions currently being investigated. The research and expository papers present the latest advances on quadratic and higher degree forms and their connections with various branches of mathematics. |
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2. |
Record Nr. |
UNINA9910964995403321 |
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Autore |
Rescher Nicholas |
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Titolo |
Being and value : and other philosophical essays / / Nicholas Rescher |
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Pubbl/distr/stampa |
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Frankfurt, : Ontos Verlag, 2008 |
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ISBN |
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3-938793-88-0 |
3-11-032134-3 |
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Descrizione fisica |
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1 online resource (222 p.) |
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Disciplina |
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Soggetti |
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Philosophy, American - 20th century |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Content -- PREFACE -- Chapter 1: BEING AND VALUE -- Chapter 2: ON EVOLUTION AND INTELLIGENT DESIGN -- Chapter 3: MIND AND MATTER -- Chapter 4: FALLACIES REGARDING FREE WILL -- Chapter 5: SOPHISTICATING NAÏVE REALISM -- Chapter 6: TAXONOMIC COMPLEXITY AND THE LAWS OF NATURE -- Chapter 7: PRACTICAL VS. THEORETICAL REASON -- Chapter 8: PRAGMATISM AS A GROWTH INDUSTRY -- Chapter 9: COST-BENEFIT EPISTEMOLOGY -- Chapter 10: QUANTIFYING QUALITY (ON THE THEORY OF ELITES) -- Chapter 11: EXPLANATORY SURDITY -- Chapter 12: CAN PHILOSOPHY BE OBJECTIVE? -- Chapter 13: ON ONTOLOGY IN COGNITIVE PERSPECTIVE -- Chapter 14: PLENUM THEORY -- Chapter 15: ONOMETRICS -- |
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BIBLIOGRAPHY -- Name Index -- ABOUT THE AUTHOR -- Backmatter |
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Sommario/riassunto |
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Being and Value collects together fifteen essays by Nicholas Rescher on salient issue in metaphysics, axiology and metaphilosophy. In the way in which they shed new light on significant philosophical issues, these deliberations are emblematic of Rescher's characteristic way of illuminating timeless issues and historical perspectives in a reciprocal interrelationship. The chapter of the book are as follows: Being and Value: On the Prospect of Optimalism; On Evolution and Intelligent Design; Mind and Matter; Fallacies Regarding Free Will; Sophisticating Naïve Realism; Taxonomic Complexity and the Laws of Nature; Practical Vs. Theoretical Reason; Pragmatism as a Growth Industry; Cost Benefit Epistemology; Quantifying Quality; Explanatory Surdity; Can Philosophy be Objective?; On Ontology in Cognitive Perspective; Plenum Theory [Essay Written Jointly with Patrick Grim]; and Onometrics (On Referential Analysis in Philosophy) |
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