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Englisch
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Beschreibung
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Über den Autor
Brendan Fong is a postdoctoral associate in the Department of Mathematics at the Massachusetts Institute of Technology. His research explores how we use pictures to represent and reason about the systems around us, and how to understand the world from a relational point of view. These topics find their intersection in applied category theory.
Inhaltsverzeichnis
Preface; 1. Generative effects: orders and Galois connections; 2. Resource theories: monoidal preorders and enrichment; 3. Databases: categories, functors, and universal constructions; 4. Collaborative design: profunctors, categorification, and monoidal categories; 5. Signal flow graphs: props, presentations, and proofs; 6. Electric circuits: hypergraph categories and operads; 7. Logic of behavior: sheaves, toposes, and internal languages; Appendix. Exercise solutions; References; Index.
Details
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781108482295 |
ISBN-10: | 1108482295 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Spivak, David I. |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 23 mm |
Von/Mit: | David I. Spivak |
Erscheinungsdatum: | 18.07.2019 |
Gewicht: | 0,789 kg |
Über den Autor
Brendan Fong is a postdoctoral associate in the Department of Mathematics at the Massachusetts Institute of Technology. His research explores how we use pictures to represent and reason about the systems around us, and how to understand the world from a relational point of view. These topics find their intersection in applied category theory.
Inhaltsverzeichnis
Preface; 1. Generative effects: orders and Galois connections; 2. Resource theories: monoidal preorders and enrichment; 3. Databases: categories, functors, and universal constructions; 4. Collaborative design: profunctors, categorification, and monoidal categories; 5. Signal flow graphs: props, presentations, and proofs; 6. Electric circuits: hypergraph categories and operads; 7. Logic of behavior: sheaves, toposes, and internal languages; Appendix. Exercise solutions; References; Index.
Details
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781108482295 |
ISBN-10: | 1108482295 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Spivak, David I. |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 23 mm |
Von/Mit: | David I. Spivak |
Erscheinungsdatum: | 18.07.2019 |
Gewicht: | 0,789 kg |
Warnhinweis