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Category Theory for the Sciences  (Mit Press) by David I Spivak (Hardcover) About the Book An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Book Synopsis An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. 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 bing 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 nonmathematicians. 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 graphscategories in disguise. After explaining the "big three" concepts of category theorycategories, functors, and natural transformationsthe 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 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. Review Quotes This is a great book not only for the scientist who wants to learn Category theory, but for the mathematician as well.Nick Scoville, MAA Reviews About the Author David I. Spivak is a Research Scientist in the Department of Mathematics at MIT. by$55.00
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Category Theory: Proceedings of the International Conference Held in Como, ... by$69.40
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Category Theory for the Sciences  (Mit Press) by David I Spivak (Hardcover) About the Book An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Book Synopsis An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. 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 bing 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 nonmathematicians. 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 graphscategories in disguise. After explaining the "big three" concepts of category theorycategories, functors, and natural transformationsthe 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 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. Review Quotes This is a great book not only for the scientist who wants to learn Category theory, but for the mathematician as well.Nick Scoville, MAA Reviews About the Author David I. Spivak is a Research Scientist in the Department of Mathematics at MIT. by$55.00
$55.00 
Category Theory for the Sciences  (Mit Press) by David I Spivak (Hardcover) About the Book An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Book Synopsis An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. 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 bing 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 nonmathematicians. 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 graphscategories in disguise. After explaining the "big three" concepts of category theorycategories, functors, and natural transformationsthe 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 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. Review Quotes This is a great book not only for the scientist who wants to learn Category theory, but for the mathematician as well.Nick Scoville, MAA Reviews About the Author David I. Spivak is a Research Scientist in the Department of Mathematics at MIT. by$55.00
$55.00 
Category Theory And Applications: A Textbook For Beginners by$109.56
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Applications Of Category Theory To Fuzzy Subsets by$278.07
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Applications Of Category Theory To Fuzzy Subsets by$186.50
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Category Seminar: Proceedings Sydney Category Theory Seminar 1972 /1973 by$60.74
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Category Theory, Homology Theory And Their Applications Proceedings Of The... by$73.51
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Category Theory: Applications To Algebra, Logic And Topology by$50.59
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Kan Extensions In Enriched Category Theory by$43.49
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Category Theory In Context by$20.46
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Basic Category Theory by Tom Leinster (English) Hardcover Book Free Shipping! by$68.52
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Formal Category Theory: Adjointness For 2Categories by$63.47
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Handbook of Categorical Algebra: Volume 1, Basic Category Theory by Borceux: New by$80.60
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