The Online Books Page

Shapes

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• Geometry

• Surfaces

• Curves
• Polyhedra
• Sphere

• Forms (Shapes)
• Shape

• Lectures on the Differential Geometry of Curves and Surfaces, by Andrew Russell Forsyth (page images at Cornell)
• The Elements of the Differential Calculus, by J. R. Young (page images at Cornell)

• 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)

• Algebraic Curves: An Introduction to Algebraic Geometry (electronic edition, 2008), by William Fulton (PDF with commentary at Michigan)

• Elementary Number Theory: Primes, Congruences, and Secrets (free online edition, 2011), by William A. Stein (PDF with commentary at wstein.org)

• The Eightfold Way: The Beauty of Klein's Quartic Curve (1999), ed. by Silvio Levy (PDF files with commentary at msri.org)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• The Analytical Geometry of the Conic Sections (London: A. and C. Black, 1908), by E. H. Askwith (page images at HathiTrust)
• Conic Sections Treated Geometrically, by W. H. Besant (page images at Cornell)
• An Introduction to the Ancient and Modern Geometry of Conics, by Charles Taylor (page images at Cornell)
• Researches on Curves of the Second Order, by George Whitehead Hearn (page images at Cornell)
• A Course of Pure Geometry: Containing a Complete Geometrical Treatment of the Properties of the Conic Sections (Cambridge: At the University Press, 1917), by E. H. Askwith (multiple formats at archive.org)
• A Treatise on Plane Co-ordinate Geometry As Applied to the Straight Line and the Conic Sections (1881 edition), by I. Todhunter (page images at Cornell)
• Brouillon Project d'une Atteinte aux Evenemens des Rencontres du Cone avec un Plan, par L,S,G,D,L (in French; 1639), by Gérard Desargues
  • page images at Gallica
  • black and white facsimile with slightly different page order: page images at Gallica
• A Treatise on Some New Geometrical Methods, by James Booth
  • volume 1: page images at Cornell
  • volume 2: page images at Cornell

• A Treatise on the Cycloid and All Forms of Cycloid Curves, by Richard A. Proctor (page images at Cornell)

• 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)

• Notes on Roulettes and Glissettes, by W. H. Besant (page images at Cornell)

• Determination of Azimuth Angle at Burnout for Placing a Satellite Over a Selected Earth Position (NASA Technical Note D-233; 1960), by T. H. Skopinski and Katherine G. Johnson (page images at HathiTrust)

• New Moons: Towing Asteroids into Earth Orbits for Exploration and Exploitation: Transcripts of the Presentations at the Special Session of the Eighth Lunar Science Conference, 16 March 1977, Johnson Space Center, Houston, Texas (Houston: Lunar and Planetary Institute, 1977), ed. by David R. Criswell (PDF at USRA Houston Repository)

• Determination of Azimuth Angle at Burnout for Placing a Satellite Over a Selected Earth Position (NASA Technical Note D-233; 1960), by T. H. Skopinski and Katherine G. Johnson (page images at HathiTrust)

• Survey of Characteristic Velocity Requirements for Two-Impulse Transfers Between Circular and Coplanar Exterior Elliptical Orbit With Exposition of Local and Overall Optimum Solutions (NASA Technical Note D-600; Washington: National Aernoautics and Space Administration, 1961), by Robert Silber (page images at HathiTrust)

• Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree, by Felix Klein (page images at Cornell)

• 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)
• Open Problems in Topology (1990), ed. by J. van Mill and George M. Reed (PDF at Elsevier)
• Functional Analysis and Semi-Groups (New York: American Mathematical Society, 1948), by Einar Hille (multiple formats at archive.org)
• Algebraic Topology (American Mathematical Society Colloquium Publications v27; c1942), by Solomon Lefschetz (page images at HathiTrust)
• Analytic Topology (American Mathematical Society Colloquium Publications v28; 1942), by Gordon Thomas Whyburn (page images at HathiTrust)
• Topology (American Mathematical Society Colloquium Publications v12; 1930), by Solomon Lefschetz (page images at HathiTrust)

• Algebraic and Geometric Topology (proceedings of a 1983 conference at Rutgers; published 1984), ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)
• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Topology (full serial archives)
• Algebraic and Geometric Topology (issues more than 5 years old free to read online) (partial serial archives)
• Geometry and Topology (issues more than 5 years old are open access) (partial serial archives)

• Topology: A Categorical Approach (Cambridge, MA: MIT Press, 2020), by Tai-Danae Bradley, Tyler Bryson, and John Terilla (PDF files with commentary at pubpub.org)

• Algebraic Topology (c2002), by Allen Hatcher (PDF files with commentary at Cornell)
• Modern Algebraic Topology (New York, Macmillan; London: Collier-Macmillan, c1963), by D. G. Bourgin (page images at HathiTrust)
• A Concise Course in Algebraic Topology (electronic edition, with errata corrected), by J. Peter May (PDF at Chicago)

• 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)

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