1# Library to Find Best eBook for Read
Author : Tom Leinster
Release : 2014-07-24
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)
Book Synopsis Basic Category Theory by : Tom Leinster
Download or read book Basic Category Theory written by Tom Leinster. This book was released on 2014-07-24. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.
Author : Emily Riehl
Release : 2017-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 807/5 ( reviews)
Book Synopsis Category Theory in Context by : Emily Riehl
Download or read book Category Theory in Context written by Emily Riehl. This book was released on 2017-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Author : David I. Spivak
Release : 2014-10-17
Genre : Mathematics
Kind : eBook
Book Rating : 533/5 ( reviews)
Book Synopsis Category Theory for the Sciences by : David I. Spivak
Download or read book Category Theory for the Sciences written by David I. Spivak. This book was released on 2014-10-17. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs—categories in disguise. After explaining the “big three” concepts of category theory—categories, functors, and natural transformations—the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
Author : Benjamin C. Pierce
Release : 1991-08-07
Genre : Computers
Kind : eBook
Book Rating : 450/5 ( reviews)
Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce
Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce. This book was released on 1991-08-07. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
Author : Paolo Aluffi
Release : 2021-11-09
Genre : Education
Kind : eBook
Book Rating : 71X/5 ( reviews)
Book Synopsis Algebra: Chapter 0 by : Paolo Aluffi
Download or read book Algebra: Chapter 0 written by Paolo Aluffi. This book was released on 2021-11-09. Available in PDF, EPUB and Kindle. Book excerpt: Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
