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Definite integrals

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• Integrals

• Definite integrals -- Bibliography
• Error functions
• Numerical integration
• Riemann integral

• Integrals, Definite

• 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)
• Introduction to the theory of Fourier's series and integrals (Dover Publications, 1930), by H. S. Carslaw (page images at HathiTrust)
• Vorlesungen über bestimmte integrale und die Fourierschen reihen (B.G. Teubner, 1908), by J. Thomae (page images at HathiTrust; US access only)
• G. Lejeune-Dirichlets Vorlesungen über die Lehre von den Einfachen und Mehrfachen Bestimmten Integralen. (F. Vieweg und sohn, 1904), by Peter Gustav Lejeune Dirichlet and G. Arendt (page images at HathiTrust; US access only)
• Vorlesungen über die Theorie der bestimmten Integrale zwischen reellen Grenzen, mit vorzüglicher Berücksichtigung der von P. Gustav Lejeune-Dirichlet in Sommer 1858 gehaltenen Vorträge über bestimmte Integrale. (B. G. Teubner, 1871), by Gustav Ferdinand Meyer (page images at HathiTrust)
• The absolute minimum of a definite integral in a special field ... (The New era printing company, 1912), by Egbert J. Miles (page images at HathiTrust)
• Valeur approximative d'une intégrale définie (Gauthier-Villars, 1905), by B. P. Moors (page images at HathiTrust; US access only)
• Abhandlung über bestimmte integrale zwischen imaginären grenzen. (W. Engelmann, 1900), by Augustin Louis Cauchy and Paul Stäckel (page images at HathiTrust; US access only)
• Integrals of Lebesgue. (New York, 1917), by Gilbert Ames Bliss (page images at HathiTrust)
• Réduction des intégrales définies générales [integral from zero to infinity] F(x) Cos.px dx/(q²x², [integral from zero to infinity] F(x) Sin.px dx/(q²x² et application de ses formules au cas, que F(x) a un facteur de la forme Sin.a̳x ou Cos.a̳x. (C. G. Van der Post, 1857), by David Bierens de Haan (page images at HathiTrust)
• Introduction to the theory of Fourier's series and integrals (Macmillan and co., limited, 1921), by H. S. Carslaw (page images at HathiTrust; US access only)
• Integrallogarithmus ... (Druck von K.J. Wyss, 1903), by Alfred Gutknecht (page images at HathiTrust; US access only)
• Computation of a modified Fresnel integral arising in the theory of diffraction by a variable screen (U.S. Dept. of Commerce, National Bureau of Standards ;, 1964), by Lillie C. Walters, James R. Wait, Central Radio Propagation Laboratory (U.S.), and United States. National Bureau of Standards (page images at HathiTrust)
• Exposé de la théorie, des propriétés, des formules de transformation, et des méthodes d'évaluation des intégrales définies (C. G. Van der Post, 1862), by D. Bierens de Haan (page images at HathiTrust)
• Exposé élémentaire de la théorie des intégrales définies (C. Muquardt ;, 1851), by Anton Meyer (page images at HathiTrust)
• Examen des nouvelles tables d'intégrales définies de m. Bierens de Haan, Amsterdam 1867 (P. A. Norstedt & söner, 1891), by C. F. Lindman (page images at HathiTrust)
• Vorlesungen über die Theorie der bestimmten Integrale zwischen reellen Grenzen : mit vorzüglicher Berücksichtigung (B.G. Teubner, 1871), by Gustav Ferdinand Meyer and Peter Gustav Lejeune Dirichlet (page images at HathiTrust)
• Über die Fresnelschen integrale ... (Buchdruckerei K.J. Wyss, 1901), by Arnold Bohren (page images at HathiTrust; US access only)
• Tables d'intégrales définies. (C. G. van der Post, 1858), by D. Bierens de Haan (page images at HathiTrust)
• Specimen analyticum, theoremata qua︠e︡dam nova de integralibus definitis, summatione serierum earumque in alias series transformatione exhibens ... (Upsaliae, 1842), by Carl Johan Malmsten (page images at HathiTrust)
• De integralibus definitis intra fines imaginarios; disputatio academica ... (Holmiae, 1857), by F. E. Fogelmarck (page images at HathiTrust)
• Exposé de la théorie, des propriétes, des formules de transformation, et des méthodes d'évaluation des intégrales définies. Partie première et deuxième (C. G. Van der Post, 1860), by D. Bierens de Haan (page images at HathiTrust)
• Vorlesungen über bestimmte integrale und die Fourierschen reihen (B.G. Teubner, 1908), by J. Thomae (page images at HathiTrust; US access only)
• Introduction to the theory of Fourier's series and integrals and the mathematical theory of the conduction of heat (Macmillan and co.,limited;, 1906), by H. S. Carslaw (page images at HathiTrust; US access only)
• Cours d'analyse mathématique. (Gauthier-Villars, 1917), by Édouard Goursat (page images at HathiTrust; US access only)
• Die Cauchy'sche methode der auswertung bestimmter integrale zwischen reellen grenzen ... (Hofbuchdruckerei zu Gutenberg, C. Grüninger (Klett & Hartmann), 1903), by Eugen Schmid (page images at HathiTrust; US access only)
• Ueber das Vorzeichen gewisser bestimmter Integrale (K. Rössler, 1905), by Hermann Frey (page images at HathiTrust; US access only)
• Beitrag zur Auswerthung bestimmter Integrale Mittelst Veränderung des Weges. (P. Haller, 1884), by J. H. Graf (page images at HathiTrust)
• Bestimmung der Integrale [integral sign] 2̳[pi][cos sin]n[phi]d[phi]/[Phi]s̳, wobei [Phi]= A+ Bcos[phi]+Csin[phi]+Dcos2[phi]+Esin2[phi], für beliebige reelle und komplexe Werte von [phi]. (Neupert, 1897), by Richard Pietsch (page images at HathiTrust)
• G. Lejeune-Dirichlets Vorlesungen über die Lehre von den Einfachen und Mehrfachen bestimmten Integralen. (F. Vieweg und Sohn, 1904), by Peter Gustav Lejeune-Dirichlet and Gustav Arendt (page images at HathiTrust; US access only)
• Vorlesungen über die Theorie der bestimmten Integrale zwischen reellen Grenzen mit vorzüglicher Berücksichtigung der von P. Gustav Lejeune-Dirichlet in Sommer 1858 gehaltenen Vorträge über bestimmte Integrale. (B. G. Teubner, 1871), by Gustav Ferdinand Meyer (page images at HathiTrust)
• Réduction des intégrales définies générales. [Integral sign][̳infinity symbol] F(x)cos. pxdx/q²+x², [integral sign][̳infinity symbol] F(x)sin. pxdx/q²+x², et application de ces formules au cas, que F(x) a un facteur de la fornie sin. a̳x ou cos. a̳x. (C. G. Van der Post, 1857), by D. Bierens de Haan (page images at HathiTrust)
• Introduction to the theory of Fourier's series and integrals. (Macmillan, 1921), by H. S. Carslaw (page images at HathiTrust; US access only)
• Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen (F. Vieweg, 1904), by Peter Gustav Lejeune Dirichlet and G. Arendt (page images at HathiTrust; US access only)
• Integration einiger bestimmten integrale auf complexem wege. (Deutsch-Krone, 1891), by Franz Frech (page images at HathiTrust)
• Ueber die Verallgemeinerung des Jakobi'schen Ausdruckes der Wurzeln einer Gleichung durch bestimmte Integrale (F.W. Kunike, 1882), by Paul Richert (page images at HathiTrust)
• Transformations und Ausmittelung bestimmter Integrale mit besonderer Rücksicht auf grössere Werthe der gränzen und implicirten Constanten. (Reyher, 1854), by P. Helmling (page images at HathiTrust)
• Nouvelles tables d'intégrales définies (P. Engels, 1867), by D. Bierens de Haan (page images at HathiTrust)
• The evaluation of definite integrals, and a quasi-Monte-Carlo method based on the properties of algebraic numbers (Los Alamos Scientific Laboratory of the University of California, 1952), by Robert D. Richtmyer, Los Alamos Scientific Laboratory, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Om en klasse bestemte integraler og nogle derved definerede semi-periodiske funktioner. (J. Møller, 1895), by Niels Nielsen (page images at HathiTrust)
• Over differentialen van gebroken orde en haar gebruik bij de afleiding van bepaalde integralen ... (Typ. J. van Boekhoven, 1904), by Johannes George Rutgers (page images at HathiTrust; US access only)
• A table of integrals (John Wiley & Sons, 1917), by Ralph Gorton Hudson and Joseph Lipka (page images at HathiTrust)
• Note sur une méthode pour la réduction d'intégrales définies et sur son application à quelques formules spéciales. (C. G. Van der Post, 1855), by D. Bierens de Haan (page images at HathiTrust)
• Mémoire sur une méthode pour déduire quelques intégrales définies en partie très générales, prises entre les limites 0 et et contenant des fonctions circulaires directes. (Cornell University Library, 1862), by D. Bierens de Haan (page images at HathiTrust)
• Exposé élémentaire de la théorie des intégrales définies. (C. Muquardt, 1851), by Anton Meyer (page images at HathiTrust)
• Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen. (F. Vieweg, 1904), by Peter Gustav Lejeune Dirichlet and G. Arendt (page images at HathiTrust; US access only)
• Note sur une Méthode pour la Réduction d'Intégrales Définies: et sur son Application à Quelques Formules Spécials (in French), by D. Bierens de Haan (Gutenberg ebook)

• Tables d'intégrales définies. (C. G. van der Post, 1858), by D. Bierens de Haan (page images at HathiTrust)

• NASA TR R-352 (National Aeronautics and Space Administration ;, 1970), by Erwin Fehlberg, George C. Marshall Space Flight Center, and United States National Aeronautics and Space Administration (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)
• Numerical integration of differential equations (Dover Publications, 1956), by Albert Arnold Bennett, Harry Bateman, William Edmund Milne, and National Research Council (U.S.). Committee on Numerical Integration (page images at HathiTrust)
• Geometric integration theory (Princeton University Press, 1957), by Hassler Whitney (page images at HathiTrust)
• Geometrical considerations in the measurement of the ratio L/R in the scattering of polarized nucleons (Argonne National Laboratory, 1961), by J. E. Monahan, A. J. Elwyn, U.S. Atomic Energy Comission, and Argonne National Laboratory. Physics Division (page images at HathiTrust)
• The automatic integration package for ordinary differential equations (Urbana], 1968), by University of Illinois (Urbana-Champaign campus). Department of Computer Science (page images at HathiTrust)
• Vorlesungen über die Integration der partiellen Differentialgleichungen erster Ordnung (B.G. Teubner, 1991), by Edouard Goursat and C. Bourlet (page images at HathiTrust; US access only)
• A transient response method for linear coupled substructures (National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division ;, 1989), by J. R. Admire, J. A. Brunty, and George C. Marshall Space Flight Center (page images at HathiTrust)
• Star adaptation for two-algorithms used on serial computers (National Aeronautics and Space Administration ;, 1974), by Lona M. Howser, Jules J. Lambiotte, and Langley Research Center (page images at HathiTrust)
• Stability of numerical integration techniques for transient rotor dynamic (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1977), by Albert F. Kascak and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• NASA CR-1828 (National Aeronautics and Space Administration :, 1971), by P. Carpenter, W. Tabakoff, and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• A comparative study of Conroy and Monte Carlo methods applied to multiple quadratures and multiple scattering (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1978), by Adarsh Deepak, Alexander Fluellen, United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, and Institute for Atmospheric Optics & Remote Sensing (page images at HathiTrust)
• An operational unification of finite difference methods for the numerical integration of ordinary differential equations. (National Aeronautics and Space Administration; for sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va., 1967), by Harvard Lomax (page images at HathiTrust; US access only)
• NASA TR R-248 (National Aeronautics and Space Administration ;, 1966), by Erwin Fehlberg, George C. Marshall Space Flight Center, and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• Derivation of Newtonian-type integration coefficients and some applications to orbit calculations (National Aeronautics and Space Administration; [for sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va.], 1970), by C. E. Velez and Jesse L. Maury (page images at HathiTrust; US access only)
• Numerical integration of orbits in multirevolution steps. (National Aeronautics and Space Administration :, 1970), by C. E. Velez, Goddard Space Flight Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-3907 (National Aeronautics and Space Administration ;, 1967), by J. F. Andrus, George C. Marshall Space Flight Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-4109 (National Aeronautics and Space Administration ;, 1967), by Harvard Lomax, Harry E. Bailey, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-4542 (National Aeronautics and Space Administration ;, 1968), by C. E. Velez, Goddard Space Flight Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Stability of multistep methods in numerical integration (National Aeronautics and Space Administration ;, 1965), by Robert N. Lea and Manned Spacecraft Center (U.S.) (page images at HathiTrust)
• On the instability of methods for the integration of ordinary differential equations (NACA, 1956), by Heinz Rutishauser and United States National Advisory Committee for Aeronautics (page images at HathiTrust)
• Method for highly accurate numerical spatial integration : application to lattice dynamics of cubic type crystals (Los Alamos Scientific Laboratory of the University of California, 1965), by William C. Overton, A. F. Schuch, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• On transonic flow past a wave-shaped wall (National Advisory Committee for Aeronautics, 1952), by Carl Kaplan and United States National Advisory Committee for Aeronautics (page images at HathiTrust)
• Mechanical quadrature and the transport equation (Los Alamos Scientific Laboratory of the University of California, 1961), by Bengt G. Carlson, Clarence E. Lee, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• Term by term integration of infinite series (1902), by Lewis Omer (page images at HathiTrust; US access only)
• Automatic multirate methods for ordinary differential equations (Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1980), by C. William Gear (page images at HathiTrust)
• A comparison of techniques for the numerical integration of ordinary differential equations (Urbana, 1968), by K. Ratliff (page images at HathiTrust)
• Numerical integrators for stiff and highly oscillatory differential equations (Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1977), by Simeon Ola Fatunla (page images at HathiTrust)
• Optimal stiffly stable methods for ordinary differential equations (Dept. of Computer Science, University of Illinois, 1970), by Mahendra Kumar Jain and V K Srivastava (page images at HathiTrust)
• Numerical solution of differential equations (Waterways Experiment Station, 1972), by S. I. Kang, James B. Cheek, Waterways Experiment Station (U.S.). Automatic Data Processing Center, and United States. Department of the Army. Office of Research and Development (page images at HathiTrust)
• A numerical integration technique for computing the mean thermal diffusion coefficients (Washington, D.C. : Office of Technical Services, Department of Commerce, 1956., 1956), by P. G. Roll, Richard S. Varga, U.S. Atomic Energy Commission, and Bettis Atomic Power Laboratory (page images at HathiTrust)
• The inclusion of moisture in a numerical model of steady-state fronts (1974), by Clifford James Cornelius (page images at HathiTrust; US access only)
• Numerical quadrature of trigonometric functions (Knolls Atomic Power Laboratory, General Electric Company, 1955), by H. Hurwitz, P. F. Zweifel, U.S. Atomic Energy Commission, General Electric Company, and Knolls Atomic Power Laboratory (page images at HathiTrust)
• On the use of a scale-dependent filter in channel model integrations (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1975), by Stephen Mudrick and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Comparison of strategies in numerical integration of a nonlinear advection equation (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1975), by Ralph Shaprio and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• A high-order interpolation procedure for use in fine-mesh limited-area models (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1973), by Ralph Shapiro and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Probes in a plasma from a gas dynamic point of view with application to the problem of satellite charging (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1976), by Harry E. Moses and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Numerical studies on a global barotropic vorticity equation model of the atmosphere (Hanscom AFB, Massachusetts : Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, 1979., 1979), by Samuel Y. K. Yee, Ralph Shapiro, and U.S. Air Force Geophysics Laboratory (page images at HathiTrust)
• The Monte Carlo method of evaluating integrals. (Naval Weapons Center ;, 1975), by Daniel T. Gillespie (page images at HathiTrust)
• Failure probabilities for log-normal capacity distribution with normal distribution of demands (Albuquerque, New Mexico : Sandia Laboratories, Test Effects Department, 1969., 1970), by Jack W. Reed, U.S. Atomic Energy Commission, and Sandia Laboratories (page images at HathiTrust)
• Integration of just-noticeable differences (Michigan Mathematical Psychology Program, University of Michigan, Dept. of Psychology, 1970), by David H. Krantz, University of Michigan. Dept. of Psychology, and Michigan Mathematical Psychology Program (page images at HathiTrust; US access only)
• Numerical integration 1 (Washington, D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1954., 1954), by W. F. Eberlein, University of Wisconsin, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• an Integral approach to transient heat-conduction problems with phase transition (Silver Spring, Maryland : Naval Surface Weapons Center, White Oak Laboratory, 1975., 1975), by Tse-Fou Zien and Naval Surface Weapons Center. White Oak Laboratory (page images at HathiTrust)
• Storng convergence in a product space (Minneapolis, Minnesota : The University of Minnesota, Institute of Technology, 1961., 1961), by J. Serrin, United States. Air Force. Office of Scientific Research, and University of Minnesota. Institute of Technology (page images at HathiTrust)
• Research in hyperbolic differential equations ([Air Force Office of Scientific Research, United States Air Force], 1961), by Florent J. Bureau and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Meromorphic functions with two values distributed on a finite number of paths extending to infinity (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Albert Edrei, United States. Air Force. Office of Scientific Research, and Syracuse University (page images at HathiTrust)
• On a theorem of Yano and Nagano (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by S. I. Goldberg, United States. Air Force. Office of Scientific Research, and Wayne State University (page images at HathiTrust)
• A minimum average risk solution for the problem of choosing the largest mean (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Richard Park Bland, RICHARD PARK. BLAND, United States. Air Force. Office of Scientific Research, and University of North Carolina at Chapel Hill. Department of Statistics (page images at HathiTrust)
• Function theoretic solutions of certain boundary-value problems / V. P. Sreedharan, Carnegie Institute of Technology, Department of Mathematics. (Pittsburgh, Pennsylvania : Carnegie Institute of Technology, Department of Mathematics, 1961., 1961), by V. P. Sreedharan, United States. Air Force. Office of Scientific Research, and Carnegie Institute of Technology (page images at HathiTrust)
• Gaussian integration for the digital computer (Washington, D.C. : Mathematics Division, Air Force Office of Scientific Research, ARDC, 1957., 1957), by Sullivan G. Campbell, United States. Air Force. Office of Scientific Research, and Duke University (page images at HathiTrust)
• Research in hyperbolic differential equations (Washington D. C. : Air Research and Development Command, Office of Scientific Research, U.S. Air Force, 1960., 1960), by Florent J. Bureau and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the formulation and analysis of numerical methods for time dependent transport equations (New York, New York: AEC Computing Facility, Institute of Mathematical Sciences, New York University, 1956., 1956), by Herbert Bishop Keller, Burton Wendroff, New York University. Institute of Mathematical Sciences, and U.S. Atomic Energy Commission. New York Operations Office (page images at HathiTrust)
• Noniterative solution of a boundary value problem of the Helmholtz type (L. G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1969., 1969), by Samuel Y. K. Yee and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• An automated procedure for the optimization of practical aerospace structures. Volume 1, Theoretical development and user's information (Wright-Patterson Air Force Base, Ohio : Air Force Flight Dynamicsl Laboratory, Air Force Systems Command, United States Air Force, 1971., 1971), by Walter J. Dwyer, Irving U. Ojalvo, Robert K. Emerton, Air Force Flight Dynamics Laboratory (U.S.), United States. Air Force. Systems Command, and Grumman Aerospace Corporation (page images at HathiTrust)
• A theorem on convergence of entropy for small distortion (L.G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1970., 1970), by John N. Pierce and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Perturbation calculation of the scattering of radio frequency waves by an underdense ionospheric layer (L.G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1970., 1970), by Milton M. Klein and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Chemical injection into a reentry plasma to improve high power EM wave transmission (L.G. Hanscom Field, Massachusetts : Air Force Cambridge Research Laboratories, Air Force System Command, United States Air Force, 1972., 1972), by Robert J. Papa and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)

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