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Category Theory in Physics, Mathematics, and Philosophy

: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book;

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Category Theory for the Sciences

An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category;

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Symmetries in Physics

philosophy of science. These include the status of the laws of nature, the relationships between mathematics, physical theory, and the world, and the;

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Symmetries in Physics

philosophy of science. These include the status of the laws of nature, the relationships between mathematics, physical theory, and the world, and the;

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Practical Foundations of Mathematics

natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and;

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Basic Notions of Algebra

and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other;

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Basic Notions of Algebra

and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other;

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Mathematical Physics

, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity;

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The Philosophy of Mathematical Practice

of history and philosophy of mathematics. But anyone familiar with contemporary philosophy of mathematics will be aware of the need for new;

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Categorification in Geometry, Topology, and Physics

, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods;

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2-Dimensional Categories

Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical;

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2-Dimensional Categories

Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical;

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Kant and Philosophy of Science Today

What good is Kant's philosophy for current philosophy of science? There has been an increasing interest in Kant and philosophy of science;

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Exotic Algebraic and Geometric Structures in Theoretical Physics

generalization of supermanifolds and category theory, coalgebras, the Yang-Baxter equation and Hopf algebras, to nontrivial aspects of nilpotent;

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One Hundred Years of Gauge Theory

This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world's leading theoretical physicists;

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Time and Methods in Environmental Interfaces Modelling

, including category theory, that follow new achievements in physics, mathematics, biology, and chemistry. Includes the use of new;

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New Spaces in Mathematics: Volume 1

, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It;

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Mathematics, Logic, and their Philosophies

substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third;

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Between Philosophy and Science

. The book considers topics such as the presence of ontology in cosmological theory and physics. It also weighs the philosophical issues;

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Handbook of Quantum Field Theory

is a compilation of some present applications of Quantum Field Theory to these mentioned fields of modern physics and mathematics, in order to;

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Interactions

The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th;

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Categorical Quantum Models and Logics

This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so;

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An Introduction to Groups, Groupoids and Their Representations

appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the;

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An Introduction to Groups, Groupoids and Their Representations

appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the;

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(Co)end Calculus

The language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and;

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Basic Category Theory for Computer Scientists

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology;

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Mathematical Mechanics: From Particle To Muscle

advantage of latest mathematical technologies - Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability;

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