{"product_id":"an-invitation-to-applied-category-theory-seven-sketches-in-compositionality-hardback-9781108482295","title":"An Invitation to Applied Category Theory; Seven Sketches in Compositionality (Hardback) 9781108482295","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Invitation to Applied Category Theory\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSeven Sketches in Compositionality\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eCategory theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eBrendan Fong (Author), David I. Spivak (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108482295, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 18 July 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e348 pages, 101 b\/w illus.  60 colour illus.  240 exercises\u003cbr\u003e25.2 x 17.8 x 2.2 cm, 0.84 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… highly recommended.' Berthold Stoge, IUCr Journals CRYSTALLOGRAPHY JOURNALS ONLINE\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eCategory theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Generative effects: orders and Galois connections\u003cbr\u003e 2. Resource theories: monoidal preorders and enrichment\u003cbr\u003e 3. Databases: categories, functors, and universal constructions\u003cbr\u003e 4. Collaborative design: profunctors, categorification, and monoidal categories\u003cbr\u003e 5. Signal flow graphs: props, presentations, and proofs\u003cbr\u003e 6. Electric circuits: hypergraph categories and operads\u003cbr\u003e 7. Logic of behavior: sheaves, toposes, and internal languages\u003cbr\u003e Appendix. Exercise solutions\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Software Engineering [\u003ca title=\"See our other books on Software Engineering\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Software%20Engineering%20%5BUMZ%5D%22\"\u003eUMZ\u003c\/a\u003e], Quantum physics [\u003ca title=\"See our other books on Quantum physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Quantum%20physics%20%5Bquantum%20mechanics%20\u0026amp;%20quantum%20field%20theory%5D%20%5BPHQ%5D%22\"\u003equantum mechanics \u0026amp; quantum field theory PHQ\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999647260952,"sku":"9781108482295","price":97.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108482295i_8bca5398-8cfd-4cc5-a0e2-69e0bba8964b.jpg?v=1696706149","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-invitation-to-applied-category-theory-seven-sketches-in-compositionality-hardback-9781108482295","provider":"Freshly Printed Books","version":"1.0","type":"link"}