A01=Paolo Perrone
Abstract Mathematics
Abstraction
Adjunctions
Algebras
Author_Paolo Perrone
Categories
Category Theory
Category=PB
Coalgebras
Cocycle Conditions
Cocycles
Coherence
Colimits
Commutative Diagrams
Commutative Monads
Comonads
Comonoids
Complexity
Data Structures
Diagrams
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Examples
Formal Expressions
Functoriality
Functors
Galois Connections
Galois Correspondences
Graph Theory
Graphs
Group Actions
Group Theory
Groups
Introduction
Intuition
Lecture Notes
Limits
Linear Algebra
Mathematics
Matrices
Monoidal Categoriesmonads
Monoidal Monads
Monoids
Morphisms
Natural Transformations
Naturality
Probability
Self-Study
Strengths
String Diagrams
Strong Monads
Symmetry
Tensor Products
Universal Properties
Universality
Product details
- ISBN 9789819819256
- Publication Date: 06 May 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks.Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra.
