Conceptual Mathematics
A First Introduction to Categories
Seiten
1997
Cambridge University Press (Verlag)
978-0-521-47249-4 (ISBN)
Cambridge University Press (Verlag)
978-0-521-47249-4 (ISBN)
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Conceptual Mathematics is the first book to serve as a skeleton key to mathematics for the general reader and as an introduction to categories for computer scientists, logicians, physicists, linguists etc. This book does not presuppose knowledge of specific fields but rather develops elementary categories such as directed graphs and discrete dynamical systems from the beginning.
In the last fifty years, the use of the notion of 'category' has led to a remarkable unification and simplification of mathematics. Written by two of the best known participants in this development, Conceptual Mathematics is the first book to serve as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists etc. While the ideas and techniques of basic category theory are useful throughout modern mathematics, this book does not presuppose knowledge of specific fields but rather develops elementary categories such as directed graphs and discrete dynamical systems from the beginning. The fundamental ideas are then illuminated in an engaging way by examples in these categories.
In the last fifty years, the use of the notion of 'category' has led to a remarkable unification and simplification of mathematics. Written by two of the best known participants in this development, Conceptual Mathematics is the first book to serve as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists etc. While the ideas and techniques of basic category theory are useful throughout modern mathematics, this book does not presuppose knowledge of specific fields but rather develops elementary categories such as directed graphs and discrete dynamical systems from the beginning. The fundamental ideas are then illuminated in an engaging way by examples in these categories.
Please read this; Note to the reader; Acknowledgements; Preview; Part I. The Category Of Sets: 1. Sets, maps, composition; Part II. The Algebra Of Composition: 2. Isomorphisms; Part III. Categories Of Structured Sets: 3. Examples of categories; Part IV. Elementary Universal Mapping Properties: 4. Universal mapping properties; Part V. Higher Universal Mapping Properties: 5. Map objects; Index.
| Erscheint lt. Verlag | 9.10.1997 |
|---|---|
| Zusatzinfo | 12 Tables, unspecified; 574 Line drawings, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 863 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| ISBN-10 | 0-521-47249-0 / 0521472490 |
| ISBN-13 | 978-0-521-47249-4 / 9780521472494 |
| Zustand | Neuware |
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