000 02767cam a2200361 i 4500
001 zzv313 b1602052
003 OCoLC
005 20250203144118.0
008 220323t20232023enka b 001 0 eng c
020 _a1108477224
020 _a9781108477222
035 _a(OCoLC)1305009614
_z(OCoLC)1304817282
_z(OCoLC)1305169934
_z(OCoLC)1348578299
_z(OCoLC)1352729283
040 _aYDX
_beng
_erda
_cYDX
_dUKMGB
_dOCLCF
_dTOH
_dHRF
_dYDX
_dCDX
_dIBI
_dNLCVW
_dBNG
_dOCL
_dMiTN
042 _apcc
050 4 _aQA169
_b.C496 2023
100 1 _aCheng, Eugenia,
245 1 4 _aThe joy of abstraction :
_ban exploration of math, category theory, and life /
_cEugenia Cheng.
264 1 _aCambridge ;
_aNew York, NY :
_bCambridge University Press,
_c2023.
264 4 _c©2023.
300 _axiv, 424 pages :
_billustrations ;
_c24 cm.
336 _astill image
_bsti
_2rdacontent.
336 _atext
_btxt
_2rdacontent.
337 _aunmediated
_bn
_2rdamedia.
338 _avolume
_bnc
_2rdacarrier.
504 _aIncludes bibliographical references and index.
505 0 _aCategories: the idea -- Abstraction -- Patterns -- Context -- Relationships -- Formalism -- Equivalence relations -- Categories: the definition -- Examples we've already seen, secretly -- Ordered sets -- Small mathematical structures -- Sets and functions -- Large worlds of mathematical structures -- Isomorphisms -- Monics and epics -- Universal properties -- Duality -- Products and coproducts -- Pullbacks and pushouts -- Functors -- Categories of categories -- Natural transformations -- Yoneda -- Higher dimensions -- Epilogue: thinking categorically.
520 _a"Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life - from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material, learning everything needed to understand category theory, and then key concepts in category theory like natural transformations, duality, and even a glimpse of ongoing research in higher-dimensional category theory."--
_cPublisher's description.
650 0 _aCategories (Mathematics)
650 0 _aLogic, Symbolic and mathematical.
650 0 _aMathematics.
_92885
650 0 _aMathematics
_xSocial aspects.
776 0 8 _iebook version :
_z9781108769389.
999 _c523506
_d523506