The Online Books Page

Calculus of variations

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

• Maxima and minima

• Convex domains
• Functional analysis
• Variational principles

• Isoperimetrical problems
• Variations, Calculus of

• Variational Analysis (based on the third printing of 2009), by R. Tyrrell Rockafellar and Roger J.-B. Wets (PDF at Washington)
• The Calculus of Variations in the Large (American Mathematical Society Colloquium Publications v18, c1934, reprinted 1947), by Marston Morse (multiple formats at archive.org)
• Calculus of Variations (Carus Mathematical Monograph #1; Chicago: Pub. for the Mathematical Association of America by the Open Court Pub. Co., c1925), by Gilbert Ames Bliss (page images at HathiTrust)
• Lectures on the Calculus of Variations (the Weierstrassian Theory), by Harris Hancock (page images at Cornell)
• A Treatise on the Calculus of Variations, by Lewis Buffett Carll (page images at Cornell)
• A Treatise on the Integral Calculus and Its Applications With Numerous Examples (1889 edition), by I. Todhunter (page images at Cornell)

• Convex Analysis (Princeton: Princeton University Press, c1970), by R. Tyrrell Rockafellar (DjVu at Washington)

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

• Actual Causality (Cambridge, MA and London: MIT Press, c2016), by Joseph Y. Halpern (HTML at Cornell)
• Functional Analysis and Semi-Groups (New York: American Mathematical Society, 1948), by Einar Hille (multiple formats at archive.org)

• The Design of Approximation Algorithms (electronic prepublication edition, c2011), by David P. Williamson and David Bernard Shmoys (PDF files with commentary at designofapproxalgs.com)
• The Theory of Approximation (American Mathematical Society Colloquium Publications v11; 1930), by Dunham Jackson (page images at HathiTrust)

• Extrapolation, Interpolation, and Smoothing of Stationary Time Series, With Engineering Applications (second printing; Cambridge, MA: Technology Press of the Massachusetts Institute of Technology; London: J. Wiley and Sons, 1950), by Norbert Wiener (page images at HathiTrust)

• Calculations of the Penetration of Gamma Rays: Final Report (White Plains, NY: Nuclear Development Associates; Oak Ridge, TN: U.S. Atomic Energy Commission, 1954), by Herbert Goldstein and J. Ernest Wilkins (page images at HathiTrust)

• Transition Curves of 330 Mev Bremsstrahlung (Berkeley, CA: University of California Radiation Laboratory, 1950), by Wade Blocker, Robert W. Kenney, and Wolfgang K. H. Panofsky (page images at HathiTrust)

• Interpolation and Approximation by Rational Functions in the Complex Domain (American Mathematical Society Colloquium Publications v20, second edition; 1956), by J. L. Walsh (page images at HathiTrust)
• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)
• Extrapolation, Interpolation, and Smoothing of Stationary Time Series, With Engineering Applications (second printing; Cambridge, MA: Technology Press of the Massachusetts Institute of Technology; London: J. Wiley and Sons, 1950), by Norbert Wiener (page images at HathiTrust)

• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)

• Homogeneous Boltzmann Equation in Quantum Relativistic Kinetic Theory (EJDE monograph #4, 2003), by Miguel Escobedo, Stéphane Mischler, and Manuel A. Valle (PDF with commentary at ams.org)

• Rings of Continuous Functions (Princeton, NJ et al.: Van Nostrand, 1960), by Leonard Gillman and Meyer Jerison (page images at HathiTrust)

• 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)

• Holomorphic Spaces (1998), ed. by Sheldon Jay Axler, John E. McCarthy, and Donald Sarason (PDF files with commentary at msri.org)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

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

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

• Linearization via the Lie Derivative (EJDE monograph #2, 2000), by Carmen Charles Chicone and Richard Swanson (PDF with commentary at ams.org)
• 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)

• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• 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)

• 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)

• 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)

• Vector Calculus (electronic edition, 2013 or later), by Michael Corral (PDF with commentary at mecmath.net)

• The Principle of Least Action (reprinted from The Monist; Chicago: Open Court Pub. Co., 1913), by Philip E. B. Jourdain (page images at HathiTrust)

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

• Lectures on the Theory of Maxima and Minima of Functions of Several Variables (Weierstrass' Theory) (University of Cincinnati bulletin #13; 1902), by Harris Hancock
  • page images at Cornell
  • multiple formats at archive.org
  • page images at HathiTrust

• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• Iterative Methods for Optimization (Philadelphia: Society for Industrial and Applied Mathematics, c1999), by C. T. Kelley (PDF at siam.org)
• Lecture Notes on Optimization (electronic edition of "Notes on Optimization", 1998), by Pravin Pratap Varaiya (PDF at Berkeley)
• The Design of Approximation Algorithms (electronic prepublication edition, c2011), by David P. Williamson and David Bernard Shmoys (PDF files with commentary at designofapproxalgs.com)
• Randomness and Optimal Estimation in Data Sampling (second edition, 2002), by Mohammad Khosnevisan, Housila P. Singh, S. Saxena, Sarjinder Singh, and Florentin Smarandache (PDF at UNM)

More items available under broader and related terms at left.