The Online Books Page

Algebraic fields

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

• Algebra, Abstract
• Algebraic number theory

• Rings (Algebra)

• Differential algebra
• Field extensions (Mathematics)
• Ideals (Algebra)
• Quaternions

• Algebraic number fields
• Algebraic numbers
• Fields, Algebraic

• 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 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)

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

• Structure of Rings (American Mathematical Society Colloquium Publications v37; 1956), by Nathan Jacobson (page images at HathiTrust)
• 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)

• Noncommutative Geometry (1994), by Alain Connes (PDF at alainconnes.org)

• Entropy and Information Theory (electronic edition, 2000), by Robert M. Gray (PDF at Stanford)

• Homogeneous Boltzmann Equation in Quantum Relativistic Kinetic Theory (EJDE monograph #4, 2003), by Miguel Escobedo, Stéphane Mischler, and Manuel A. Valle (PDF with commentary at ams.org)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)
• Chebyshev and Fourier Spectral Methods (second edition), by John P. Boyd (PDF with commentary at Citeseer)

• Journal of Spectral Theory (partial serial archives)

• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)

• Harmonic Analysis and the Theory of Probability (Berkeley and Los Angeles: University of California Press, 1955), by S. Bochner (page images at HathiTrust)
• Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (page images at Cornell)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)

• A Presentation of the Theory of Hermite's Form of Lamé's Equation, by J. Brace Chittenden (page images at Cornell)

• An Elementary Treatise on Spherical Harmonics and Subjects Connected With Them, by N. M. Ferrers (page images at Cornell)

• Operator Algebras and Quantum Statistical Mechanics, by Ola Bratteli and Derek W. Robinson
  • volume I: PDF in Norway
  • volume II: PDF in Norway

• Noncommutative Geometry, Quantum Fields and Motives (prepublication version, ca. 2008), by Alain Connes and Matilde Marcolli (PDF at alainconnes.org)
• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF at arxiv.org)

• Journal of Noncommutative Geometry (partial serial archives)

• 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)

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

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

• Lattice Theory (American Mathematical Society Colloquium Publications v25, revised edition; 1948), by Garrett Birkhoff (page images at HathiTrust)

• Lie Algebras In Particle Physics: From Isospin To Unified Theories (second edition; Boca Raton et al: CRC Press, c2021), by Howard Georgi (PDF with commentary at OAPEN)

• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• Basic Theorems in Matrix Theory (National Bureau of Standards Applied Mathematics Series #57; Washington: GPO, 1960), by Marvin Marcus (page images at HathiTrust)
• Introduction to Matrix Analysis (New York et al.: McGraw-Hill Book Co., 1960), by Richard Bellman (page images at HathiTrust)
• 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)

More items available under broader and related terms at left.