| 000 | 03608nam a2200529 i 4500 | ||
|---|---|---|---|
| 001 | 6961923 | ||
| 003 | IEEE | ||
| 005 | 20190220121651.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 151223s2014 maua ob 001 eng d | ||
| 020 | _a9780262028134 | ||
| 020 |
_a9780262320528 _qelectronic |
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| 035 | _a(CaBNVSL)mat06961923 | ||
| 035 | _a(IDAMS)0b00006482849317 | ||
| 040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
||
| 050 | 4 |
_aQ175.32.M38 _bS65 2014eb |
|
| 082 | 0 | 4 |
_a512/.62 _223 |
| 100 | 1 |
_aSpivak, David I., _d1978-, _eauthor. |
|
| 245 | 1 | 0 |
_aCategory theory for the sciences / _cDavid I. Spivak. |
| 264 | 1 |
_aCambridge, Massachusetts : _bMIT Press, _c[2014] |
|
| 264 | 2 |
_a[Piscataqay, New Jersey] : _bIEEE Xplore, _c[2014] |
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| 300 |
_a1 PDF (viii, 486 pages) : _billustrations. |
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| 336 |
_atext _2rdacontent |
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| 337 |
_aelectronic _2isbdmedia |
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| 338 |
_aonline resource _2rdacarrier |
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| 504 | _aIncludes bibliographical references (pages 475-478) and index. | ||
| 506 | 1 | _aRestricted to subscribers or individual electronic text purchasers. | |
| 520 | _aCategory 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. | ||
| 530 | _aAlso available in print. | ||
| 538 | _aMode of access: World Wide Web | ||
| 588 | _aTitle from PDF. | ||
| 588 | _aDescription based on PDF viewed 12/23/2015. | ||
| 650 | 0 | _aCategories (Mathematics) | |
| 650 | 0 |
_aScience _xMathematical models. |
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| 655 | 0 | _aElectronic books. | |
| 695 | _aEpitaxial layers | ||
| 695 | _aExcitons | ||
| 695 | _aNitrogen | ||
| 695 | _aRadiative recombination | ||
| 695 | _aSilicon carbide | ||
| 695 | _aTemperature measurement | ||
| 710 | 2 |
_aIEEE Xplore (Online Service), _edistributor. |
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| 710 | 2 |
_aMIT Press, _epublisher. |
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| 776 | 0 | 8 |
_iPrint version _z9780262028134 |
| 856 | 4 | 2 |
_3Abstract with links to resource _uhttp://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6961923 |
| 999 |
_c39653 _d39653 |
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