The Online Books Page

Calculus, Integral

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• Differential equations
• Calculus

• Integrals
• Integrals, Generalized

• Integral calculus

• A Treatise on the Integral Calculus and Its Applications With Numerous Examples (1889 edition), by I. Todhunter (page images at Cornell)
• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)

• The Calculus Integral (beta 1.0, 2010), by Brian S. Thomson (PDF at classicalrealanalysis.info)

• Esposizione e Confronto Critico delle Diverse Definizioni Proposte per l'Integrale Definito di una Funzione Limitata o No (in Italian; Palermo: Stab. tip. Virzi, 1914), by Pia Nalli (page images at HathiTrust; US access only)

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

• Entropy and Information Theory (electronic edition, 2000), by Robert M. Gray (PDF at Stanford)

• 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)

• 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)

• Collision Integrals for a Modified Stockmayer Potential (NASA technical note D-481; Washington: National Aeronautics and Space Administration, 1961), by Eugene C. Itean, Alan R. Glueck, and Roger A. Svehla (page images at HathiTrust)

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

• Elementary Differential Equations (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Elementary Differential Equations With Boundary Value Problems (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Notes on Diffy Qs: Differential Equations for Engineers (online edition, c2013), by Jiří Lebl (illustrated HTML and PDF with commentary at jirka.org)
• Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations With Boundary Value Problems (free online edition, originally published 2000), by William F. Trench (PDF at trinity.edu)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Linearization via the Lie Derivative (EJDE monograph #2, 2000), by Carmen Charles Chicone and Richard Swanson (PDF with commentary at ams.org)
• Numerical Methods and Modeling for Chemical Engineers (New York et al.: Wiley, c1984), by Mark E. Davis (PDF files at Caltech)
• Differential Equations From the Algebraic Standpoint (American Mathematical Society Colloquium Publications v14; 1932), by Joseph Fels Ritt (page images at HathiTrust)
• Differential Equations (New York: John Wiley and Sons, 1922), by H. B. Phillips (PDF at djm.cc)
• Détermination des Invariants Ponctuels de l'Equation Differentielle Ordinaire du Second Ordre y'' = w(x,y,y') (in French, with some German front matter; Leipzig: S. Hirzel, 1896), by Arthur Tresse (page images at HathiTrust)
• Four Lectures on Mathematics Delivered at Columbia University in 1911, by Jacques Hadamard (page images at Cornell)
• Ordinary Differential Equations: An Elementary Text-Book (London and New York: Macmillan, 1897), by James Morris Page (page images at Cornell)
• A Treatise on Differential Equations, by Andrew Russell Forsyth (page images at Cornell)
• A Treatise on Differential Equations, and on the Calculus of Finite Differences, by J. Hymers (page images at Cornell)
• An Introduction to the Lie Theory of One-Parameter Groups, by Abraham Cohen (page images at Cornell)
• The Logarithmic Potential: Discontinuous Dirichlet and Neumann Problems (American Mathematical Society Colloquium Publications v6; 1927), by Griffith Conrad Evans (page images at HathiTrust)

• Electronic Journal of Differential Equations (1993-) (full serial archives)
• Electronic Journal of Qualitative Theory of Differential Equations (1998-) (full serial archives)

• Examples of Differential Equations, With Rules for Their Solution, by George A. Osborne (page images at Cornell)

• Elementary Differential Equations With Boundary Value Problems (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Notes on Diffy Qs: Differential Equations for Engineers (online edition, c2013), by Jiří Lebl (illustrated HTML and PDF with commentary at jirka.org)
• Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations With Boundary Value Problems (free online edition, originally published 2000), by William F. Trench (PDF at trinity.edu)
• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups, by John Edward Campbell (page images at Cornell)
• 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)

• Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical Delays (EJDE monograph #5, 2004), by A. N. Gorban' (PDF with commentary at ams.org)
• Exploring Discrete Dynamics: The DDLab Manual (Frome, UK: Luniver Press, c2011), by Andrew Wuensche (PDF and page images with commentary in the UK)
• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF and other formats at arxiv.org)

• Existence, Multiplicity, Perturbation, and Concentration Results for a Class of Quasi-Linear Elliptic Problems (EJDE monograph #7, 2006), by Marco Squassina (PDF with commentary at ams.org)
• Palais-Smale Approaches to Semilinear Elliptic Equations in Unbounded Domains (EJDE monograph #6, 2004), by Hwai-chiuan Wang (PDF with commentary at ams.org)

• A Treatise on Linear Differential Equations, by Thomas Craig (page images at Cornell)

• Introduction to Nonlinear Differential and Integral Equations (New York: Dover Publications, 1962), by Harold T. Davis (page images at HathiTrust)

• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Differential Systems (American Mathematical Society Colloquium Publications v21; 1937), by Joseph Miller Thomas (multiple formats at archive.org)
• Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.org)
• Analog Simulation: Solution of Field Problems (New York et al.: McGraw-Hill Book Co., 1958), by Walter J. Karplus (page images at HathiTrust)

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

• Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)

More items available under broader and related terms at left.