Categories for the Working Mathematician PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Categories for the Working Mathematician PDF full book. Access full book title Categories for the Working Mathematician by Saunders Mac Lane. Download full books in PDF and EPUB format.
Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Author: Scott Knaster
Publisher: Addison Wesley
ISBN:
Category : Debugging in computer science
Languages : en
Pages : 488
Get Book Here
Book Description
This cult classic for programmers is an excellent source for understanding the myths and mysteries of Macintosh programming. It presents comprehensive coverage of key topics every Macintosh programmer must master, including memory management and debugging techniques.
Author:
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 626
Get Book Here
Book Description
Author: Blair Carter
Publisher: Nova Publishers
ISBN: 9781590335260
Category : Games & Activities
Languages : en
Pages : 182
Get Book Here
Book Description
Lists the most significant writings on computer games, including works that cover recent advances in gaming and the substantial academic research that goes into devising and improving computer games.
Author: Robert Lakeland
Publisher:
ISBN: 9780732966676
Category : Mathematics
Languages : en
Pages : 108
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Macintosh (Computer)
Languages : en
Pages : 1004
Get Book Here
Book Description
Author: Mark Burgin
Publisher: World Scientific
ISBN: 9811236852
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.
Author:
Publisher:
ISBN:
Category : Macintosh (Computer)
Languages : en
Pages : 674
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 120
Get Book Here
Book Description
InfoWorld is targeted to Senior IT professionals. Content is segmented into Channels and Topic Centers. InfoWorld also celebrates people, companies, and projects.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 76
Get Book Here
Book Description
InfoWorld is targeted to Senior IT professionals. Content is segmented into Channels and Topic Centers. InfoWorld also celebrates people, companies, and projects.
