The Online Books Page

Hyperspace

Here are entered mathematical works. Philosophical and imaginative works are entered under Fourth dimension.

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

• Geometry
• Geometry -- Foundations
• Geometry, Differential
• Geometry, Non-Euclidean
• Mathematics

• Space and time

• Generalized spaces
• Hilbert space

• Algebraic configurations in hyperspace
• Space of more than three dimensions

• 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)

• 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)

• 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 and other formats at arxiv.org)

• 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)

• 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)

• 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)

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

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

• The Universe of Motion (Portland, OR: North Pacific Publishers, 1984), by Dewey B. Larson (HTML at reciprocalsystem.com)
• New Light on Space and Time (Portland, OR: North Pacific Publishers, 1965), by Dewey B. Larson (illustrated HTML at reciprocalsystem.com)
• The Structure of the Physical Universe (second printing; Portland, OR: North Pacific Publishers, 1960), by Dewey B. Larson (page images at HathiTrust)
• Basic Properties of Matter (Portland, OR: North Pacific Publishers, 1988), by Dewey B. Larson (HTML at reciprocalsystem.com)
• The Neglected Facts of Science (for chapter 2, readers may need to click back from chapter 3; Portland, OR: North Pacific Publishers, 1982), by Dewey B. Larson (HTML with commentary at reciprocalsystem.com)
• La Relativité: Exposé Sans Formules des Théories d'Einstein, et Réfutation des Erreurs Contenues dans les Ouvrages les Plus Notoires (in French; Paris: E. Chiron, 1923), by André Metz (page images at HathiTrust; US access only)
• Space, Time and Gravitation: An Outline of the General Relativity Theory (Cambridge: At the University Press, 1920), by Arthur Stanley Eddington (Gutenberg PDF and LaTeX)
• Event-Symmetric Space-Time, by Philip Gibbs (frame-dependent HTML, Word, and PS at weburbia.com)
• Time and Free Will: An Essay on the Immediate Data of Consciousness, by Henri Bergson, trans. by Frank Lubecki Pogson (multiple formats at archive.org)

• The Tractatus de Successivis, Attributed to William Ockham, Edited with a Study on the Life and Works of Ockham (Franciscan Institute Publications #1; Tractatus in Latin and commentary in English; St. Bonaventure, NY: St. Bonaventure College, 1944), ed. by Philotheus Boehner, contrib. by William of Ockham (page images at HathiTrust)

• The Time Stream (based on the book edition of 1946), by John Taine (HTML at Gutenberg Canada)
• Puck of Pook's Hill (London: Macmillan and Co., 1911), by Rudyard Kipling, illust. by H. R. Millar (Gutenberg text and illustrated HTML)
• Puck of Pook's Hill (New York: Doubleday, Page, and Co., 1906), by Rudyard Kipling, illust. by Arthur Rackham (Gutenberg text, illustrated HTML, and page images)
• A Romance of Two Worlds, by Marie Corelli
  • Volume I: HTML at Indiana
  • Volume II: HTML at Indiana
  • Gutenberg text
• Flatland: A Romance of Many Dimensions (London: Seeley and Co., 1884), by Edwin A. Abbott
  • Gutenberg text and illustrated HTML
  • multiple formats at archive.org
  • page images at HathiTrust
• Flatland: A Romance of Many Dimensions, By a Square, With Illustrations by the Author (Boston: Roberts Bros., 1885), by Edwin A. Abbott
  • multiple formats at archive.org
  • page images at HathiTrust

More items available under broader and related terms at left.