[David I Spivak] epub Category Theory for the Sciences Free



13 thoughts on “Category Theory for the Sciences

  1. says:

    I decided that I needed a formal category theory background when trying to understand typeclasses in Haskell This book perfectly serves the aim, introducing the theory in a formal yet not too abstract way The application to databases and ologs is nice.The book has a formal structure of a mathematical text definitions, propositions, theorems,

  2. says:

    Das Buch zeigt auf, wie das Konzept der Kategorien Theorie in der wissenschaftlichen Praxis nutzbar gemacht werden kann, und bietet damit eine

  3. says:

    A very accessible and informative book on broad applications of category theory Especially useful in information technology modelling

  4. says:

    Pros Has lots of examples questions with solutions, which help you clearly understand the concepts being discussed, Spivak builds up concepts gradually with lots of worked out examples, Requires little by way of mathematical background Very suitable for non mathematicians or those with basic mathematical background An early version is available online in PDF format, so you can evaluate before buying The book contains so

  5. says:

    David Spivak is a welcome new breed of MIT lecturer whose passion is to motivate, engage, and facilitate a students learning of a subject.Its predecessors are Category Theory for Computer Scientists Barr A First In

  6. says:

    Phenomenal book I was looking for a good introduction to category theory for non mathematicians and this definitely hits the mark It s

  7. says:

    This will be short and to the point, rather different from Mr Spivak s book First, I think it is a very good book if you want to see why category theory is useful in computer science It is not a very good book if you want to learn category theory in general, because it is CLUTTERED with too much, well, clutter

  8. says:

    A little hard to get through at first, as the descriptions of his fundamental concept, ologs, was both wordy and a bit obtuse But htis is ground breaking in its relationship to the use in computation and that is a big deal By itself it may not be sufficient to grasp all the essentials of category theory and thus

  9. says:

    Arrived promptly, clean and intact.

  10. says:

    Been teaching a lunch time course to my colleagues from this Really sharpens your thinking and helps you find fuzziness, ambiguity, and errors just about everywhere you look.

  11. says:

    This book is one of kind, the only one for readers of none mathematical background It of course still takes quite an effort to learn CT from this book I have a Ph D in engineering and had some advanced algebraic and analytic

  12. says:

    Best Book on the market for Category Theory Best Author.

  13. says:

    too theoretical for the general public Probably there is practical applications, but was imposible to detect them

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download ´ PDF, DOC, TXT or eBook À David I Spivak

Nd 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 disciplinesWritten 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 categori. Pros Has lots of examples uestions with solutions which help you clearly understand the concepts being discussed Spivak builds up concepts gradually with lots of worked out examples Reuires little by way of mathematical background Very suitable for non mathematicians or those with basic mathematical background An early version is available online in PDF format so you can evaluate before buying The book contains solutions after every exercise not so for the PDFCons Much of the early part of the book is motivated by ologs which I feel have doubtful utility in practical science I feel this detracts from the overall presentation The book takes a long time to actually introduce Categories because Spivak takes the time to introduce mathematical background However this forces the reader wade through a lot of material which is likely unfamiliar to his target audience and I feel is less useful in actually understanding Category theory Overall I found this bottom up pedagogical approach makes it uite hard to see the forest broad ideas top down introducing categories almost immediately then examples to flesh out the concepts It has a far abstract and intuitive flavor in its presentation compared to Spivak which is what I like most about it However it is also much denser than Spivak and is a far challenging read but should still be accessible to anyone with first year college level exposure to abstract algebra

read Category Theory for the Sciences

Category Theory for the Sciences

Es 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 than 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. Arrived promptly clean and intact

download ´ PDF, DOC, TXT or eBook À David I Spivak

An introduction to category theory as a rigorous flexible and coherent modeling language that can be used across the sciencesCategory theory was invented in the s 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 a. A very accessible and informative book on broad applications of category theory Especially useful in information technology modelling