Cahiers de topologie et géométrie différentielle catégoriques

Cahiers de topologie et géométrie différentielle catégoriques PDF Author:
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 780

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Cahiers de topologie et géométrie différentielle catégoriques

Cahiers de topologie et géométrie différentielle catégoriques PDF Author:
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 780

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Book Description


Cahiers de Topologie Et Géométrie Différentielle

Cahiers de Topologie Et Géométrie Différentielle PDF Author:
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 668

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Galois Theory, Hopf Algebras, and Semiabelian Categories

Galois Theory, Hopf Algebras, and Semiabelian Categories PDF Author: George Janelidze
Publisher: American Mathematical Soc.
ISBN: 0821832905
Category : Mathematics
Languages : en
Pages : 582

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Book Description
This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.

Mathematical Foundations of Programming Language Semantics

Mathematical Foundations of Programming Language Semantics PDF Author: Michael Main
Publisher: Springer Science & Business Media
ISBN: 9783540190202
Category : Mathematics
Languages : en
Pages : 652

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Book Description
This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.

Nonstandard Analysis

Nonstandard Analysis PDF Author: Karl Kuhlemann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111429687
Category : Mathematics
Languages : en
Pages : 234

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Book Description
Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course. The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view. Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject.

Computational Psychoanalysis and Formal Bi-Logic Frameworks

Computational Psychoanalysis and Formal Bi-Logic Frameworks PDF Author: Iurato, Giuseppe
Publisher: IGI Global
ISBN: 1522541292
Category : Computers
Languages : en
Pages : 383

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Book Description
Computational psychoanalysis is a new field stemming from Freudian psychoanalysis. The new area aims to understand the primary formal structures and running mechanisms of the unconscious while implementing them into computer sciences. Computational Psychoanalysis and Formal Bi-Logic Frameworks provides emerging information on this new field which uses psychoanalysis and the unconscious mind to make advancements in computational research. While highlighting the challenges of applying analytical logic trends to primary formal structures, readers will learn the valuable outputs to society when these trends are successfully implemented. This book is an important resource for computer scientists, researchers, academics, and other professionals seeking current research on applying psychoanalysis and Freudian concepts to computational structures.

Programming Languages and Systems

Programming Languages and Systems PDF Author: Ilya Sergey
Publisher: Springer Nature
ISBN: 3030993361
Category : Computers
Languages : en
Pages : 618

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Book Description
This open access book constitutes the proceedings of the 31st European Symposium on Programming, ESOP 2022, which was held during April 5-7, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 21 regular papers presented in this volume were carefully reviewed and selected from 64 submissions. They deal with fundamental issues in the specification, design, analysis, and implementation of programming languages and systems.

Rings, Hopf Algebras, and Brauer Groups

Rings, Hopf Algebras, and Brauer Groups PDF Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 1000116735
Category : Mathematics
Languages : en
Pages : 349

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Book Description
"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "

Relations and Kleene Algebra in Computer Science

Relations and Kleene Algebra in Computer Science PDF Author: Renate Schmidt
Publisher: Springer
ISBN: 354037874X
Category : Mathematics
Languages : en
Pages : 443

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Book Description
The book constitutes the joint refereed proceedings of the 9th International Conference on Relational Methods in Computer Science, RelMiCS 2006, and the 4th International Workshop on Applications of Kleene Algebras, AKA 2006, held in Manchester, UK in August/September 2006. The 25 revised full papers presented together with two invited papers and the abstract of an invited talk were carefully reviewed and selected from 44 submissions.

Categories for the Working Philosopher

Categories for the Working Philosopher PDF Author: Elaine Landry
Publisher: Oxford University Press
ISBN: 019106582X
Category : Philosophy
Languages : en
Pages : 432

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Book Description
Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.