Category Theory Books

Showing 1-50 of 115
Conceptual Mathematics: A First Introduction to Categories Conceptual Mathematics: A First Introduction to Categories (Paperback)
by (shelved 27 times as category-theory)
avg rating 4.33 — 196 ratings — published 1997
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Category Theory for Programmers Category Theory for Programmers (ebook)
by (shelved 17 times as category-theory)
avg rating 4.22 — 185 ratings — published 2014
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Category Theory (Oxford Logic Guides) Category Theory (Oxford Logic Guides)
by (shelved 17 times as category-theory)
avg rating 4.08 — 76 ratings — published 2006
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Basic Category Theory for Computer Scientists (Foundations of Computing) Basic Category Theory for Computer Scientists (Foundations of Computing)
by (shelved 16 times as category-theory)
avg rating 3.57 — 138 ratings — published 1991
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5) Categories for the Working Mathematician (Graduate Texts in Mathematics, 5)
by (shelved 15 times as category-theory)
avg rating 4.38 — 112 ratings — published 1971
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Seven Sketches in Compositionality: An Invitation to Applied Category Theory Seven Sketches in Compositionality: An Invitation to Applied Category Theory (ebook)
by (shelved 13 times as category-theory)
avg rating 4.42 — 55 ratings — published 2019
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Category Theory in Context (Aurora: Dover Modern Math Originals) Category Theory in Context (Aurora: Dover Modern Math Originals)
by (shelved 12 times as category-theory)
avg rating 4.48 — 64 ratings — published 2015
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The Joy of Abstraction: An Exploration of Math, Category Theory, and Life The Joy of Abstraction: An Exploration of Math, Category Theory, and Life (Hardcover)
by (shelved 9 times as category-theory)
avg rating 3.86 — 162 ratings — published
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Basic Category Theory (Cambridge Studies in Advanced Mathematics, Series Number 143) Basic Category Theory (Cambridge Studies in Advanced Mathematics, Series Number 143)
by (shelved 9 times as category-theory)
avg rating 4.48 — 40 ratings — published 2014
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Category Theory for Computing Science (Prentice-hall International Series in Computer Science) Category Theory for Computing Science (Prentice-hall International Series in Computer Science)
by (shelved 8 times as category-theory)
avg rating 3.60 — 20 ratings — published 1990
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Category Theory for the Sciences (Mit Press) Category Theory for the Sciences (Mit Press)
by (shelved 7 times as category-theory)
avg rating 4.10 — 50 ratings — published 2013
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Abstract and Concrete Categories: The Joy of Cats (Dover Books on Mathematics) Abstract and Concrete Categories: The Joy of Cats (Dover Books on Mathematics)
by (shelved 7 times as category-theory)
avg rating 4.46 — 13 ratings — published 1990
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Categories for Types (Cambridge Mathematical Textbooks) Categories for Types (Cambridge Mathematical Textbooks)
by (shelved 5 times as category-theory)
avg rating 4.00 — 5 ratings — published 1994
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How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics (Hardcover)
by (shelved 5 times as category-theory)
avg rating 3.64 — 1,961 ratings — published 2015
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Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics)
by (shelved 5 times as category-theory)
avg rating 4.27 — 67 ratings — published 1979
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Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics, Series Number 7) Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics, Series Number 7)
by (shelved 5 times as category-theory)
avg rating 4.33 — 12 ratings — published 1986
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Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies, 32) Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies, 32)
by (shelved 5 times as category-theory)
avg rating 3.17 — 6 ratings — published 2007
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Categories for Quantum Theory: An Introduction (Oxford Graduate Texts in Mathematics) Categories for Quantum Theory: An Introduction (Oxford Graduate Texts in Mathematics)
by (shelved 4 times as category-theory)
avg rating 4.00 — 11 ratings — published
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Categories for the Working Philosopher Categories for the Working Philosopher (Hardcover)
by (shelved 4 times as category-theory)
avg rating 4.33 — 9 ratings — published
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Algebra: Chapter 0 (Graduate Studies in Mathematics) Algebra: Chapter 0 (Graduate Studies in Mathematics)
by (shelved 4 times as category-theory)
avg rating 4.73 — 73 ratings — published 2009
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From a Geometrical Point of View (Logic, Epistemology, and the Unity of Science, 14) From a Geometrical Point of View (Logic, Epistemology, and the Unity of Science, 14)
by (shelved 4 times as category-theory)
avg rating 4.44 — 16 ratings — published 2008
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Theoretical Computer Science for the Working Category Theorist (Elements in Applied Category Theory) Theoretical Computer Science for the Working Category Theorist (Elements in Applied Category Theory)
by (shelved 3 times as category-theory)
avg rating 3.50 — 6 ratings — published
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Life Itself: A Comprehensive Inquiry Into the Nature, Origin, and Fabrication of Life (Complexity in Ecological Systems) Life Itself: A Comprehensive Inquiry Into the Nature, Origin, and Fabrication of Life (Complexity in Ecological Systems)
by (shelved 3 times as category-theory)
avg rating 4.16 — 83 ratings — published 1991
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Higher Topos Theory (Annals of Mathematics Studies, 170) Higher Topos Theory (Annals of Mathematics Studies, 170)
by (shelved 3 times as category-theory)
avg rating 4.67 — 6 ratings — published 2009
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Diagrammatic Immanence: Category Theory and Philosophy Diagrammatic Immanence: Category Theory and Philosophy (Hardcover)
by (shelved 3 times as category-theory)
avg rating 3.56 — 16 ratings — published 2015
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Elementary Categories, Elementary Toposes (Oxford Logic Guides) Elementary Categories, Elementary Toposes (Oxford Logic Guides)
by (shelved 3 times as category-theory)
avg rating 5.00 — 2 ratings — published 1992
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Categories and Computer Science (Cambridge Computer Science Texts, Series Number 28) Categories and Computer Science (Cambridge Computer Science Texts, Series Number 28)
by (shelved 3 times as category-theory)
avg rating 4.33 — 3 ratings — published 1992
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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59) Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
by (shelved 3 times as category-theory)
avg rating 4.20 — 5 ratings — published 1999
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Sets for Mathematics Sets for Mathematics (Paperback)
by (shelved 3 times as category-theory)
avg rating 4.35 — 17 ratings — published 2002
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Introducing String Diagrams: The Art of Category Theory Introducing String Diagrams: The Art of Category Theory (Hardcover)
by (shelved 2 times as category-theory)
avg rating 0.0 — 0 ratings — published
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Algebraic Theories: A Categorical Introduction to General Algebra (Cambridge Tracts in Mathematics, Series Number 184) Algebraic Theories: A Categorical Introduction to General Algebra (Cambridge Tracts in Mathematics, Series Number 184)
by (shelved 2 times as category-theory)
avg rating 4.00 — 2 ratings — published 2010
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Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning (Hardcover)
by (shelved 2 times as category-theory)
avg rating 4.30 — 27 ratings — published 2017
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More Than Life Itself: A Synthetic Continuation in Relational Biology (Categories, 1) More Than Life Itself: A Synthetic Continuation in Relational Biology (Categories, 1)
by (shelved 2 times as category-theory)
avg rating 0.0 — 0 ratings — published 2009
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Categories and Sheaves (Grundlehren der mathematischen Wissenschaften, 332) Categories and Sheaves (Grundlehren der mathematischen Wissenschaften, 332)
by (shelved 2 times as category-theory)
avg rating 3.50 — 2 ratings — published 2005
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Topology and Category Theory in Computer Science Topology and Category Theory in Computer Science (Hardcover)
by (shelved 2 times as category-theory)
avg rating 0.0 — 0 ratings — published 1991
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Sets, Logic and Categories (Springer Undergraduate Mathematics Series) Sets, Logic and Categories (Springer Undergraduate Mathematics Series)
by (shelved 2 times as category-theory)
avg rating 3.67 — 6 ratings — published 1999
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Generic figures and their glueings: A constructive approach to functor categories Generic figures and their glueings: A constructive approach to functor categories (Paperback)
by (shelved 2 times as category-theory)
avg rating 0.0 — 0 ratings — published 2008
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Locally Presentable and Accessible Categories (London Mathematical Society Lecture Note Series, Series Number 189) Locally Presentable and Accessible Categories (London Mathematical Society Lecture Note Series, Series Number 189)
by (shelved 2 times as category-theory)
avg rating 4.00 — 2 ratings — published 1994
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An Introduction to Category Theory An Introduction to Category Theory (Hardcover)
by (shelved 2 times as category-theory)
avg rating 3.52 — 25 ratings — published 2011
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Homotopy Type Theory Homotopy Type Theory (ebook)
by (shelved 2 times as category-theory)
avg rating 4.51 — 53 ratings — published 2013
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Handbook of Categorical Algebra (Encyclopedia of Mathematics and its Applications, Series Number 50) Handbook of Categorical Algebra (Encyclopedia of Mathematics and its Applications, Series Number 50)
by (shelved 2 times as category-theory)
avg rating 4.44 — 16 ratings — published 1994
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Topos Theory (Dover Books on Mathematics) Topos Theory (Dover Books on Mathematics)
by (shelved 2 times as category-theory)
avg rating 4.00 — 5 ratings — published 2014
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Mathematics of the Transcendental: Onto-logy and being-there Mathematics of the Transcendental: Onto-logy and being-there (Hardcover)
by (shelved 1 time as category-theory)
avg rating 3.67 — 21 ratings — published 2013
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Introduction to Homotopy Type Theory (Cambridge Studies in Advanced Mathematics, Series Number 219) Introduction to Homotopy Type Theory (Cambridge Studies in Advanced Mathematics, Series Number 219)
by (shelved 1 time as category-theory)
avg rating 0.0 — 0 ratings — published
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A Handbook of Model Categories (Algebra and Applications) A Handbook of Model Categories (Algebra and Applications)
by (shelved 1 time as category-theory)
avg rating 0.0 — 0 ratings — published
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Polygraphs: From Rewriting to Higher Categories (London Mathematical Society Lecture Note Series Book 495) Polygraphs: From Rewriting to Higher Categories (London Mathematical Society Lecture Note Series Book 495)
by (shelved 1 time as category-theory)
avg rating 0.0 — 0 ratings — published
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Abelian Model Category Theory (Cambridge Studies in Advanced Mathematics Book 215) Abelian Model Category Theory (Cambridge Studies in Advanced Mathematics Book 215)
by (shelved 1 time as category-theory)
avg rating 0.0 — 0 ratings — published
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“Note that in the above construction we made a number of choices; here we must beware. Choosing a good categorification – like designing a good algebraic structure such as that of preorders or quantales – is part of the art of mathematics. There is no prescribed way to categorify, and the success of a chosen categorification is rather empirical: its richer structure should allow us more insights into the subject we want to model.”
Brendan Fong, Seven Sketches in Compositionality: An Invitation to Applied Category Theory

“The language of categories is affectionately known as "abstract nonsense," so named by Norman Steenrod. This term is essentially accurate and not necessarily derogatory: categories refer to "nonsense" in the sense that they are all about the "structure," and not about the "meaning," of what they represent.”
Paolo Aluffi, Algebra: Chapter 0

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