The Online Books Page

Geometry, Riemannian

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

• Semi-Riemannian geometry
• Geometry, Non-Euclidean
• Generalized spaces
• Geometry

• Surfaces of constant curvature

• Riemann geometry
• Riemannian geometry

• Comparison Geometry (1997), ed. by Karsten Grove and Peter Petersen (PDF files with commentary at msri.org)

• Thèses Presentées a la Faculté des Sciences de Paris, Pour Obtenier le Grade de Docteur ès Sciences Mathématiques: Sur le Cercle Considéré Comme Élément Générateur de L'espace; Propositions Données par la Faculté (dissertation in French; Paris: Gauthier-Villars et fils, 1889), by E. Cosserat (Javascript-dependent page images in France)

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

• Geometry, Relativity and the Fourth Dimension (free online edition; c1977), by Rudy v. B. Rucker (illustrated HTML at rudyrucker.com)
• The Elements of Non-Euclidean Geometry, by Julian Lowell Coolidge (page images at Cornell)

• Linear Algebra Done Right (current online edition, 2025), by Sheldon Jay Axler (multiple formats with commentary at axler.net)
• Linear Algebra (first edition; 2013), by David Cherney, Tom Denton, and Andrew Waldron, ed. by Rohit Thomas (PDF with commentary at UC Davis)
• Elementary Linear Algebra (online CC-BY edition, 2012), by Kenneth Kuttler
  • main text: PDF at saylor.org
  • solutions manual: PDF at saylor.org
• Elementary Linear Algebra (second online edition, 1998), by Keith Robert Matthews (PDF files with commentary at numbertheory.org)
• A First Course in Linear Algebra (electronic edition), by Robert A. Beezer (HTML and PDF with commentary at linear.ups.edu)
• Modern Multidimensional Calculus (Reading, MA, et al: Addison-Wesley Pub. Co., c1963), by M. Evans Munroe (page images at HathiTrust)
• Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
• 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 Electronic Journal of Linear Algebra (1996-) (full serial archives)

• Linear Algebra (third edition, 2017), by Jim Hefferon (PDF with commentary at smcvt.edu)

• Ends of Complexes (1996), by Bruce Hughes and Andrew Ranicki (PDF in the UK)
• A Treatise on the Line Complex, by C. M. Jessop (page images at Cornell)

• The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds (ca. 1996), ed. by Andrew Ranicki (PDF in the UK)

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

• 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)

• The Octonions (prepublication version, 2001, with links to related materials), by John C. Baez (illustrated HTML at ucr.edu)

• Homogeneous Linear Substitutions, by Harold Hilton (page images at Cornell)
• Determinants, by Laenas Gifford Weld (page images at Cornell)
• A Short Course in the Theory of Determinants, by Laenas Gifford Weld (page images at Cornell)

• 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)

• Grassmann's Space Analysis, by E. W. Hyde (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)

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

• The Contraction Mapping Principle and Some Applications (EJDE monograph #9, 2009), by R. M. Brooks and Klaus Schmitt (PDF with commentary at ams.org)
• Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)
• Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.org)

• Real Variables With Basic Metric Space Topology (originally published 1993; this version c2007), by Robert B. Ash (PDF files at Wayback Machine)

• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)

• The Fourth Dimension: Toward a Geometry of Higher Reality (free online edition, c2014), by Rudy v. B. Rucker, contrib. by Martin Gardner (illustrated HTML at rudyrucker.com)
• Theorie der Vielfachen Kontinuität (in German; Zurich: Zürcher und Furrer, ca. 1901), by Ludwig Schläfli, ed. by J. H. Graf
  • multiple formats at archive.org
  • multiple formats at archive.org
  • page images at HathiTrust; US access only
• Linear Transformations In Hilbert Space and Their Applications To Analysis (American Mathematical Society Colloquium Publications v15; 1932), by Marshall H. Stone (multiple formats at archive.org)
• Mathematical Essays and Recreations, by Hermann Schubert, trans. by Thomas J. McCormack (page images at Cornell)
• Side-Lights on Astronomy and Kindred Fields of Popular Science: Essays and Addresses, by Simon Newcomb (Gutenberg text)

• The Screw Calculus and Its Applications in Mechanics (Wright-Patterson AFB, OH: Foreign Technology Division, 1968), by F. M. Dimentberg, trans. by United States Air Force Systems Command, Foreign Technology Division (PDF at dtic.mil)
• A Treatise on the Theory of Screws, by Robert S. Ball (page images at Cornell)

• Geometry Unbound (c2006), by Kiran Sridhara Kedlaya (PDF with commentary at kskedlayaorg)
• Geometric Topology: Localization, Periodicity and Galois Symmetry (The 1970 MIT Notes) (electronic edition, ca. 2005), by Dennis Sullivan, ed. by Andrew Ranicki (PDF in the UK)
• Model Theory, Algebra, and Geometry (2000), ed. by Deirdre Haskell, Anand Pillay, and Charles Steinhorn (PDF files with commentary at msri.org)
• Cours de Géométrie Élémentaire, avec de Nombreux Exercices (second edition, in French; Tours: A. Mame et fils; et al., 1912), by G. Marie (page images at HathiTrust; US access only)
• An Elementary Treatise on Modern Pure Geometry, by R. Lachlan (page images at Cornell)
• Elements of Geometry and Trigonometry, by A. M. Legendre and Charles Davies, ed. by J. Howard Van Amringe (page images at Cornell)
• The First Six Books of the Elements of Euclid, and Propositions I.-XXI. of Book XI., and an Appendix on the Cylinder, Sphere, Cone, Etc., With Copious Annotations and Numerous Exercises (Dublin: Hodges, Figgis and Co., 1885), by Euclid and John Casey (page images at Cornell)
• Geometriske Eksperimenter (in Danish; Copenhagen: Jul. Gjellerups Forlag, 1913), by Johannes Hjelmslev (multiple formats at archive.org)
• Introduction to Mathematics (Reading, MA and London: Addison-Wesley Pub. Co., 1961), by Charles Francis Brumfiel, Robert E. Eicholz, and Merrill Shanks (page images at HathiTrust)
• Byrne's Euclid: The First Six Books of the Elements of Euclid, With Coloured Diagrams and Symbols, by Euclid, ed. by Oliver Byrne and Nicholas Rougeux (JavaScript-dependent illustrated HTML at c82.net)
• An Elementary Treatise on Pure Geometry with Numerous Examples, by John Wellesley Russell (page images at Cornell)
• La Recente Geometria del Triangolo (in Italian; Città di Castello: S. Lapi, 1900), by Cristoforo Alasia
  • multiple formats at Google; US access only
  • page images at HathiTrust; US access only
• Lectures on Fundamental Concepts of Algebra and Geometry (1911), by John Wesley Young (page images at Cornell)

More items available under broader and related terms at left.