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Könyv Category Theory for the Sciences David I. Spivak

Category Theory for the Sciences

Szerző: David I. Spivak
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: MIT Press Ltd
Elérhetőség: Beszállítói készleten alacsony példányszámban
Küldés 11-15 napon belül
26 300 Ft
Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, an...

Információk a könyvről

Szerző
David I. Spivak
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2014
oldal
496
EAN
9780262028134
ISBN
0262028131
Enbook ID
04560595
Kiadó
MIT Press Ltd
Súly
902
Méretek
231 x 184 x 27

Teljes leírás

Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs -- categories in disguise. After explaining the "big three" concepts of category theory -- categories, functors, and natural transformations -- the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with selected solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.

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