The Online Books Page

Algebra, Homological

See also what's at Wikipedia, your library, or elsewhere.

• Algebra, Abstract
• Homology theory
• Algebra

• Categories (Mathematics)
• Complexes, Cochain
• Functor theory
• Triples, Theory of

• Homological algebra

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)
• Category Theory for the Sciences (Cambridge, MA, and London: MIT Press, c2014), by David I. Spivak (illustrated HTML with commentary at MIT Press)
• Category Theory for Computing Science (revised reprint from Theory and Applications of Categories, 2013), by Michael Barr and Charles Wells (PDF in Canada)
• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)
• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)
• Category Theory for Programmers (free online edition), by Bartosz Milewski, ed. by Igal Tabacnik (illustrated HTML and PDF with commentary at bartoszmilewski.com and Github)

• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Theory and Applications of Categories (1995-) (full serial archives)

• Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)

Items below (if any) are from related and broader terms.

• Abstract Algebra: Theory and Applications (originally published 1994; latest annual edition c2014), by Thomas W. Judson (PDF with commentary at ups.edu)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
• Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)

• FRAGSTATS: Spatial Pattern Analysis Program for Quantifying Landscape Structure (Pacific Northwest Research Station General Technical Report PNW-GTR-351; 1995), by Kevin McGarigal and Barbara J. Marks (page images at HathiTrust)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), by Robert B. Ash (PDF files at Illinois)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), by Robert B. Ash (PDF files at Illinois)

• Structure of Algebras (American Mathematical Society Colloquium Publications v24, revised printing; 1961), by A. Adrian Albert (page images at HathiTrust; US access only)
• Model Theory, Algebra, and Geometry (2000), ed. by Deirdre Haskell, Anand Pillay, and Charles Steinhorn (PDF files with commentary at msri.org)

• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF and other formats at arxiv.org)

• Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (2002), ed. by Christian U. Jensen, Arne Ledet, and Noriko Yui (PDF files with commentary at msri.org)

• Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)
• Rings of Continuous Functions (Princeton, NJ et al.: Van Nostrand, 1960), by Leonard Gillman and Meyer Jerison (page images at HathiTrust)

• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)

• Elements of Quaternions, by Arthur Sherburne Hardy (page images at Cornell)
• Lectures on Quaternions, by William Rowan Hamilton (page images at Cornell)
• A Manual of Quaternions, by Charles Jasper Joly (page images at Cornell)
• The Outlines of Quaternions, by H. W. L. Hime (page images at Cornell)
• A Primer of Quaternions, by Arthur S. Hathaway
  • Gutenberg PDF and zipped LaTeX
  • page images at Cornell
• Quaternions as the Result of Algebraic Operations, by Arthur Latham Baker (page images at Cornell)
• Utility of Quaternions in Physics, by Alex. McAulay (page images at Cornell)
• Vector Analysis and Quaternions, by Alexander Macfarlane (page images at Cornell)
• Vector and Tensor Analysis (New York: J. Wiley and Sons; London: Chapman and Hall, c1947), by Louis Brand (page images at HathiTrust)

• Bibliography of Quaternions and Allied Systems of Mathematics, by Alexander Macfarlane (page images at Cornell)

• Grassmann's Space Analysis, by E. W. Hyde (page images at Cornell)

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• Lectures on Matrices (American Mathematical Society Colloquium Publications v17, c1934, reprinted 1960), by J. H. M. Wedderburn (page images at HathiTrust)
• The Theory of Matrices (corrected reprint of first edition; New York: Chelsea, ca. 1946), by Cyrus Colton MacDuffee (page images at HathiTrust)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA* (Argonne, IL: Argonne National Laboratory, 1961), by Wallace Givens (page images at HathiTrust)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)
• Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA* (Argonne, IL: Argonne National Laboratory, 1961), by Wallace Givens (page images at HathiTrust)

• The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy (revised edition, c1966), by J. D. Williams (PDF with commentary at rand.org)
• Games of Strategy: Theory and Applications (1961), by Melvin Dresher (PDF with commentary at rand.org)

• Least-Squares Analysis of Data with Unequal Subclass Numbers (Washington, DC: Agricultural Research Service, United States Dept. of Agriculture, 1960), by Walter R. Harvey (page images at HathiTrust)
• Bayesian Spectrum Analysis and Parameter Estimation (New York: Springer-Verlag, 1988), by G. Larry Bretthorst (PDF at wustl.edu)

• Random Matrix Models and Their Applications (2001), ed. by Pavel Bleher and Alexander R. Its (PDF files with commentary at msri.org)

More items available under broader and related terms at left.