An Introduction to the Language of Category Theory. 1st ed. 2017

種類:

電子ブック

責任表示:

by Steven Roman

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017

著者名:

• Roman, Steven.
• SpringerLink (Online service)

シリーズ名:

Compact Textbooks in Mathematics ;

ISBN:

9783319419176 [331941917X]    

注記:

Preface -- Categories -- Functors and Natural Transformations -- Universality -- Cones and Limits -- Adjoints -- References -- Index of Symbols -- Index.
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. Chap

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