The Online Books Page

Calculus of tensors

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

• Geometry, Differential
• Geometry, Infinitesimal
• Vector analysis

• Spinor analysis

• Generalized spaces

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

• Tensor and Vector Analysis, With Applications to Differential Geometry (New York: Ronald Press Co., 1962), by C. E. Springer (page images at HathiTrust)
• Lezioni di Calcolo Differenziale Assoluto (in Italian; Rome: A. Stock, 1925), by Tullio Levi-Civita, ed. by Enrico Persico
  • PDF at Chicago
  • page images at HathiTrust; US access only
• Vector and Tensor Analysis (New York: J. Wiley and Sons; London: Chapman and Hall, c1947), by Louis Brand (page images at HathiTrust)
• Tensor Analysis of Networks (New York: J. Wiley and Sons; London: Chapman and Hall, 1939), by Gabriel Kron (page images at HathiTrust)
• The Application of Tensors to the Analysis of Rotating Electrical Machinery (first edition (16 parts); Schenectady, NY: General Electric Review, c1938), by Gabriel Kron (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)

• 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 Wayback Machine)

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)

• Differential Geometry: A Geometric Introduction (self-study third edition, c2013), by David W. Henderson (PDF files with commentary at Project Euclid)
• Functional Differential Geometry (Cambridge, MA and London: MIT Press, c2013), by Gerald Jay Sussman and Jack Wisdom, contrib. by Will Farr (at mitpress.mit.edu PDF with commentary at MIT Press and Dropbox)
• Convex Geometric Analysis (1999), ed. by Keith M. Ball and Vitali D. Milman (PDF files with commentary at msri.org)
• Notes on Intrinsic Calculus (2 volumes; c1962-1963), by Bernard Friedman
  • Part I: page images at HathiTrust; US access only
  • Part II: page images at HathiTrust; US access only
• Foundations of Mechanics (second edition, 1987), by Ralph Abraham and Jerrold E. Marsden (PDF with commentary at Caltech)
• Non-Riemannian Geometry (American Mathematical Society Colloquium Publications v8; 1927), by Luther Pfahler Eisenhart (multiple formats at archive.org)
• 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 (Boston et al.: Ginn and Co., c1909), by Luther Pfahler Eisenhart (page images at HathiTrust)
• Tensor and Vector Analysis, With Applications to Differential Geometry (New York: Ronald Press Co., 1962), by C. E. Springer (page images at HathiTrust)

More items available under broader and related terms at left.