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| Author | : Francisco Miraglia |
| Publisher | : Polimetrica s.a.s. |
| Total Pages | : 517 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 8876990356 |
| Author | : Fabrizio Broglia |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 390 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1470429667 |
Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.
| Author | : M. Dickmann |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 148 |
| Release | : 2015-10-27 |
| Genre | : Mathematics |
| ISBN | : 1470414686 |
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where is not a sum of squares and is invertible. They accomplish this by: (1) Extending the classical notion of matrix isometry of forms to a suitable notion of -isometry, where is a preorder of the given ring, , or . (2) Introducing in this context three axioms expressing simple properties of (value) representation of elements of the ring by quadratic forms, well-known to hold in the field case.
| Author | : Ricardo Baeza |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 424 |
| Release | : 2009-08-14 |
| Genre | : Mathematics |
| ISBN | : 0821846485 |
This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
| Author | : Walter Alexandre Carnielli |
| Publisher | : |
| Total Pages | : 594 |
| Release | : 2009 |
| Genre | : Computers |
| ISBN | : |
The ``Many Sides of Logic'' is a volume containing a selection of the papers delivered at three simultaneous events held between 11-17 May 2008 in Paraty, RJ, Brazil, continuing a tradition of three decades of Brazilian and Latin-American meetings and celebrating the 30th anniversary of an institution congenital with the mature interest for logic, epistemology and history of sciences in Brazil: CLE 30 - 30th Anniversary of the Centre for Logic, Epistemology and the History of Science at the State University of Campinas (UNICAMP) XV EBL -15th Brazilian Logic Conference XIV SLALM - 14th Latin-American Symposium on Mathematical Logic Several renowned logicians, philosophers and mathematicians gathered in colonial Paraty, a historic village on the Brazilian coast founded in the 17th Century and surrounded by the luscious Atlantic rain forest to deliver lectures and talks celebrating the many sides of logic: the philosophical, the mathematical, the computational, the historical, and the multiple facets therein. The topics of the joint conferences, well represented here, included philosophical and mathematical Logic and applications with emphasis on model theory and proof theory, set theory, non-classical logics and applications, history and philosophy of logic, philosophy of the formal sciences and issues on the foundations of mathematics. The events have been preceded by a Logic School planned for students and young researchers held at the UNICAMP campus in Campinas, SP.
| Author | : Gregory W. Brumfiel |
| Publisher | : Cambridge University Press |
| Total Pages | : 293 |
| Release | : 1979-12-20 |
| Genre | : Mathematics |
| ISBN | : 052122845X |
The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.
| Author | : |
| Publisher | : |
| Total Pages | : 618 |
| Release | : 2005 |
| Genre | : Philosophy |
| ISBN | : |
| Author | : Niels Schwartz |
| Publisher | : Springer |
| Total Pages | : 276 |
| Release | : 2006-11-13 |
| Genre | : Mathematics |
| ISBN | : 3540482849 |
The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.
| Author | : Saunders MacLane |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 650 |
| Release | : 1994-10-27 |
| Genre | : Mathematics |
| ISBN | : 0387977104 |
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.
| Author | : Richard P. Stanley |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 114 |
| Release | : 1972 |
| Genre | : Combinatorial analysis |
| ISBN | : 0821818198 |
