An Introduction to Partially Ordered Structures and Sheaves PDF Download
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Author: Francisco Miraglia
Publisher: Polimetrica s.a.s.
ISBN: 8876990356
Category : Mathematics
Languages : en
Pages : 517
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Book Description
Author: Francisco Miraglia
Publisher: Polimetrica s.a.s.
ISBN: 8876990356
Category : Mathematics
Languages : en
Pages : 517
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Book Description
Author: Fabrizio Broglia
Publisher: American Mathematical Soc.
ISBN: 1470429667
Category : Mathematics
Languages : en
Pages : 390
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Book Description
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.
ISBN: 1470414686
Category : Mathematics
Languages : en
Pages : 148
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Book Description
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.
ISBN: 0821846485
Category : Mathematics
Languages : en
Pages : 424
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Book Description
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: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 1470435187
Category : Mathematics
Languages : en
Pages : 498
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Book Description
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
Author: Vaughan R. Pratt
Publisher: American Mathematical Soc.
ISBN: 0821805797
Category : Computers
Languages : en
Pages : 421
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Book Description
This book presents surveys on the theory and practice of modelling, specifying, and validating concurrent systems. It contains surveys of techniques used in tools developed for automatic validation of systems. Other papers present recent developments in concurrency theory, logics of programmes, model-checking, automata, and formal languages theory. The volume contains the proceedings from the workshop, Partial Order Methods in Verification, which was held in Princeton, NJ, in July 1996. The workshop focused on both the practical and the theoretical aspects of using partial order models, including automata and formal languages, category theory, concurrency theory, logic, process algebra, programme semantics, specification and verification, topology, and trace theory. The book also includes a lively e-mail debate that took place about the importance of the partial order dichotomy in modelling concurrency.
Author: Ben Elias
Publisher: Springer Nature
ISBN: 3030488268
Category : Mathematics
Languages : en
Pages : 588
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Book Description
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
Author: Saunders MacLane
Publisher: Springer Science & Business Media
ISBN: 1461209277
Category : Mathematics
Languages : en
Pages : 643
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Book Description
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:
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 618
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Book Description
Author: Masami Hagiya
Publisher: Springer Science & Business Media
ISBN: 9783540578871
Category : Computers
Languages : en
Pages : 910
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Book Description
This volume contains the proceedings of the Second International Symposium on Theoretical Aspects of Computer Science, held at Tohoku University, Japan in April 1994. This top-level international symposium on theoretical computer science is devoted to theoretical aspects of programming, programming languages and system, and parallel and distributed computation. The papers in the volume are grouped into sessions on: lambda calculus and programming; automated deduction; functional programming; objects and assignments; concurrency; term rewriting and process equivalence; type theory and programming; algebra, categories and linear logic; and subtyping, intersection and union types. The volume also includes seven invited talks and two open lectures.
