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An Introduction to the Language of Category Theory by Steven Roman (Paperback, 2017)

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This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics. The goal of this book is to present the five major ideas of category theory: categories, functors, natural transformations, universality, and adjoints in as friendly and relaxed a manner as possible while at the same time not sacrificing rigor. These topics are developed in a straightforward, step-by-step manner and are accompanied by numerous examples and exercises, most of which are drawn from abstract algebra. The first chapter of the book introduces the definitions of category and functor and discusses diagrams,duality, initial and terminal objects, special types of morphisms, and some special types of categories,particularly comma categories and hom-set categories. Chapter 2 is devoted to functors and naturaltransformations, concluding with Yoneda's lemma. Chapter 3 presents the concept of universality and Chapter 4 continues this discussion by exploring cones, limits, and the most common categorical constructions - products, equalizers, pullbacks and exponentials (along with their dual constructions). The chapter concludes with a theorem on the existence of limits. Finally, Chapter 5 covers adjoints and adjunctions. Graduate and advanced undergraduates students in mathematics, computer science, physics, or related fields who need to know or use category theory in their work will find An Introduction to Category Theory to be a concise and accessible resource. It will be particularly useful for those looking for a more elementary treatment of the topic before tackling more advanced texts.

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783319419169
eBay Product ID (ePID)
223557035

Product Key Features

Author
Steven Roman
Publication Name
An Introduction to the Language of Category Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2017
Type
Textbook
Number of Pages
169 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
2876g

Additional Product Features

Title_Author
Steven Roman
Series Title
Compact Textbooks in Mathematics
Country/Region of Manufacture
Switzerland

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An Introduction to the Language of Category Theory by Steven Roman (Paperback, 2017)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

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Dr. Robert Melillo Disconnected Kids - Revised and Updated (Paperback)

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