Calculus of tensors

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

• Geometry, Infinitesimal
• Geometry, Differential
• Vector analysis

• Spinor analysis

• Generalized spaces

• Analysis, Tensor
• Calculus, Absolute differential
• Calculus, Tensor
• Tensor analysis
• Absolute differential calculus
• Tensor calculus

• 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)
• 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)
• Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
• A First Course in Linear Algebra (electronic edition), by Robert A. Beezer (HTML and PDF with commentary at linear.ups.edu)

• Linear Algebra, 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 (frame- and JavaScript-dependent 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)

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

• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)

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

• Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (frame- and JavaScript-dependent page images at Cornell)

• A Presentation of the Theory of Hermite's Form of Lamé's Equation, by J. Bruce Chittenden (frame- and JavaScript-dependent page images at Cornell)

• An Elementary Treatise on Spherical Harmonics and Subjects Connected With Them, by N. M. Ferrers (frame- and JavaScript-dependent 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

• 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)
• Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.org)
• Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)

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

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

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

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

• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

• Convex Geometric Analysis (1999), ed. by Keith M. Ball and Vitali D. Milman (PDF files with commentary at msri.org)
• Foundations of Mechanics (second edition, 1987), by Ralph Abraham and Jerrold E. Marsden (PDF with commentary at Caltech)
• Natural Operations in Differential Geometry, by Ivan Kolar, Jan Slovak, and Peter W. Michor (PDF and Postscript at emis.de)
• A Treatise on the Differential Geometry of Curves and Surfaces, by Luther Pfahler Eisenhart (frame- and JavaScript-dependent page images at Cornell)

• The Elements of Coordinate Geometry, by S. L. Loney (multiple formats at archive.org)

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

• Mathematical Essays and Recreations, by Hermann Schubert, trans. by Thomas J. McCormack (frame- and JavaScript-dependent page images at Cornell)
• Side-Lights on Astronomy and Kindred Fields of Popular Science: Essays and Addresses, by Simon Newcomb (Gutenberg text)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)
• Surgery on Compact Manifolds (second edition, ca. 1999), by C. T. C. Wall, ed. by Andrew Ranicki (PDF in the UK)

• Projective Differential Geometry of Curves and Ruled Surfaces, by E. J. Wilczynski (frame- and JavaScript-dependent page images at Cornell)

• Comparison Geometry (1997), ed. by Karsten Grove and Peter Petersen (PDF files with commentary at msri.org)
• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

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

• Tight and Taut Submanifolds (1997), ed. by T. E. Cecil and Shiing-Shen Chern (PDF files with commentary at msri.org)

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

More items available under broader and related terms at left.