Open Textbooks by Topic

00 General and overarching topics; collections

• An Introduction to the Foundations and Fundamental Concepts of Mathematics — Howard Eves and Carroll V. Newsom (Archive.org lending copy)

03 Mathematical logic and foundations

• Combinatorics and Discrete Mathematics (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))
• An Introduction to the Foundations and Fundamental Concepts of Mathematics — Howard Eves and Carroll V. Newsom (Archive.org lending copy)

05 Combinatorics

• Applied Combinatorics — Mitchel T. Keller and William T. Trotter (CC BY-SA)
• Combinatorics and Discrete Mathematics (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

08 General algebraic systems

• A Course in Universal Algebra — Stanley Burris and H.P. Sankappanavar (Author-released free PDF)

12 Field theory and polynomials

• Abstract and Geometric Algebra (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

13 Commutative algebra

• Abstract and Geometric Algebra (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

15 Linear and multilinear algebra; matrix theory

• Linear Algebra — Jim Hefferon (GNU Free Documentation License)

16 Associative rings and algebras

• Abstract and Geometric Algebra (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

20 Group theory and generalizations

• Abstract and Geometric Algebra (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

26 Real functions

• A Course of Pure Mathematics — G.H. Hardy (Public domain)
• Calculus Made Easy — Silvanus P. Thompson (Public domain)
• Introduction to Real Analysis — William F. Trench (CC BY-NC-SA (author-released))
• A Primer of Real Analysis — Dan Sloughter (CC BY)
• Calculus Volume 1 — OpenStax (CC BY)

28 Measure and integration

• A Primer of Real Analysis — Dan Sloughter (CC BY)

34 Ordinary differential equations

• Notes on Diffy Qs: Differential Equations for Engineers — Jiri Lebl (CC BY-NC-SA)
• Elementary Differential Equations — William F. Trench (CC BY-NC-SA (author-released))
• Differential Equations (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

35 Partial differential equations

• Differential Equations (LibreTexts collection) — LibreTexts contributors (Mixed open licenses (CC BY family))

40 Sequences, series, summability

• A Course of Pure Mathematics — G.H. Hardy (Public domain)

51 Geometry

• Elements — Euclid (trans. T.L. Heath) (Public domain)
• Foundations of Geometry — David Hilbert (trans. E.J. Townsend) (Public domain)

54 General topology

• Topology Without Tears — Sidney A. Morris (Author-released free)

60 Probability theory and stochastic processes

• Introduction to Probability — Charles M. Grinstead and J. Laurie Snell (GNU Free Documentation License)

62 Statistics

• Introductory Statistics — OpenStax (CC BY)