Category Theory for the Sciences by David I. Spivak
Category Theory for the Sciences by David I. Spivak PDF, ePub eBook D0wnl0ad
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 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.
From reader reviews:
Ruth Haakenson:
Hey guys, do you wishes to finds a new book to study? May be the book with the headline Category Theory for the Sciences suitable to you? Typically the book was written by renowned writer in this era. The book untitled Category Theory for the Sciencesis the one of several books this everyone read now. This kind of book was inspired a number of people in the world. When you read this reserve you will enter the new shape that you ever know just before. The author explained their plan in the simple way, therefore all of people can easily to be aware of the core of this book. This book will give you a wide range of information about this world now. In order to see the represented of the world with this book.
Eric Lowe:
Many people spending their time frame by playing outside along with friends, fun activity together with family or just watching TV all day every day. You can have new activity to pay your whole day by studying a book. Ugh, think reading a book can really hard because you have to bring the book everywhere? It alright you can have the e-book, bringing everywhere you want in your Cell phone. Like Category Theory for the Sciences which is obtaining the e-book version. So , try out this book? Let's find.
Robert Harriman:
On this era which is the greater man or woman or who has ability in doing something more are more important than other. Do you want to become one among it? It is just simple method to have that. What you need to do is just spending your time not very much but quite enough to enjoy a look at some books. Among the books in the top checklist in your reading list is Category Theory for the Sciences. This book which can be qualified as The Hungry Slopes can get you closer in getting precious person. By looking upward and review this publication you can get many advantages.
Read Category Theory for the Sciences by David I. Spivak for online ebook
Category Theory for the Sciences by David I. Spivak Free PDF d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books online, book reviews epub, read books online, books to read online, online library, greatbooks to read, PDF best books to read, top books to read Category Theory for the Sciences by David I. Spivak books to read online.
Comments
Post a Comment