Описание: Category theory reveals commonalities between structures of all sorts. This self-contained tour of applied category theory shows its potential in science, engineering, and beyond. Each chapter discusses a real-world application using category-theoretic tools, all of which are introduced in an accessible way with many examples and exercises.
Автор: David H. Pitt; Axel Poigne; David E. Rydeheard Название: Category Theory and Computer Science ISBN: 3540185089 ISBN-13(EAN): 9783540185086 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: David Pitt; David E. Rydeheard; Peter Johnstone Название: Category Theory and Computer Science ISBN: 3540601643 ISBN-13(EAN): 9783540601647 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These conference proceedings document the exploitation of links between logic and category theory, leading to a solid basis of much of the understanding of the semantics of computation. Notable amongst other advances is the introduction of linear logic and other substructural logics.
Автор: Eugenio Moggi; Giuseppe Rosolini Название: Category Theory and Computer Science ISBN: 354063455X ISBN-13(EAN): 9783540634553 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting the proceedings of the seventh International Conference on Category Theory and Computer Science, CTCS `97, this monograph addresses a range of topics in the field, including: reasoning principles for types; rewriting; program semantics; and structuring of logical systems.
Автор: Yau Donald Название: Involutive Category Theory ISBN: 3030612023 ISBN-13(EAN): 9783030612023 Издательство: Springer Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory.
Автор: Yanofsky, Noson S. (brooklyn College, City University Of New York) Название: Theoretical computer science for the working category theorist ISBN: 110879274X ISBN-13(EAN): 9781108792745 Издательство: Cambridge Academ Рейтинг: Цена: 2851.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This Element presents the usual material taught in a yearlong course of theoretical computer science using the intuitive language and methodology of category theory. Perfect for students or professionals working in computers or physics, or mathematics.
Описание: The purpose of the book is to advance in the understanding of brain function by defining a general framework for representation based on category theory. The idea is to bring this mathematical formalism into the domain of neural representation of physical spaces, setting the basis for a theory of mental representation, able to relate empirical findings, uniting them into a sound theoretical corpus. The innovative approach presented in the book provides a horizon of interdisciplinary collaboration that aims to set up a common agenda that synthesizes mathematical formalization and empirical procedures in a systemic way. Category theory has been successfully applied to qualitative analysis, mainly in theoretical computer science to deal with programming language semantics. Nevertheless, the potential of category theoretic tools for quantitative analysis of networks has not been tackled so far. Statistical methods to investigate graph structure typically rely on network parameters. Category theory can be seen as an abstraction of graph theory. Thus, new categorical properties can be added into network analysis and graph theoretic constructs can be accordingly extended in more fundamental basis. By generalizing networks using category theory we can address questions and elaborate answers in a more fundamental way without waiving graph theoretic tools. The vital issue is to establish a new framework for quantitative analysis of networks using the theory of categories, in which computational neuroscientists and network theorists may tackle in more efficient ways the dynamics of brain cognitive networks. The intended audience of the book is researchers who wish to explore the validity of mathematical principles in the understanding of cognitive systems. All the actors in cognitive science: philosophers, engineers, neurobiologists, cognitive psychologists, computer scientists etc. are akin to discover along its pages new unforeseen connections through the development of concepts and formal theories described in the book. Practitioners of both pure and applied mathematics e.g., network theorists, will be delighted with the mapping of abstract mathematical concepts in the terra incognita of cognition.
Описание: This book advances understanding of brain function by defining a framework for representation based on category theory. Brings mathematical formalism into the domain of neural representation of physical spaces, as a basis for a theory of mental representation.
Автор: Kuś Marek, Skowron Bartlomiej Название: Category Theory in Physics, Mathematics, and Philosophy ISBN: 3030308987 ISBN-13(EAN): 9783030308988 Издательство: Springer Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction.- Why Categories?.- Category Theory and Philosophy.- Comments on: Category Theory and Philosophy by Zbigniew Krol.- Are There Category-Theoretical Explanations ofPhysical Phenomena?.- The Application of Category Theory to Epistemic and Poietic Processes.- Asymmetry of Cantorian Mathematics from a Categorial Standpoint: Is It Related to the Direction of Time?.- Extending List's Levels.- From quantum-mechanical lattice of projections to smooth structure of R4.- Beyond the Space-Time Boundary.- Aspects of Perturbative Quantum Gravity on Synthetic Spacetimes.- Category Theory as a Foundationfor the Concept Analysis of Complex Systems and Time Series.
Описание: Category theory reveals commonalities between structures of all sorts. This self-contained tour of applied category theory shows its potential in science, engineering, and beyond. Each chapter discusses a real-world application using category-theoretic tools, all of which are introduced in an accessible way with many examples and exercises.
Автор: S.E. Rodabaugh; Erich Peter Klement; Ulrich H?hle Название: Applications of Category Theory to Fuzzy Subsets ISBN: 0792315111 ISBN-13(EAN): 9780792315117 Издательство: Springer Рейтинг: Цена: 40389.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Comprehensively describes the deeper mathematical aspects of fuzzy sets, particularly those aspects which are category-theoretic in nature. Divided into four parts, this book contains bibliography, indices, and long chapters, which make it suitable as a text for advanced graduate students.
Автор: S.E. Rodabaugh; Erich Peter Klement; Ulrich H?hle Название: Applications of Category Theory to Fuzzy Subsets ISBN: 9401051569 ISBN-13(EAN): 9789401051569 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. Beginning with the tenth Seminar, the intimate setting was retained, but each Seminar narrowed in theme;
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