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Books on the topic 'Euler's theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Chen, Jingkai. Nonlocal Euler–Bernoulli Beam Theories. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69788-4.

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2

Hakfoort, Casper. Optics in the age of Euler: Conceptions of the nature of light, 1700-1795. Cambridge University Press, 1995.

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3

A, Appleby R., Chen H. C, and Langley Research Center, eds. A general multiblock Euler code for propulsion integration. National Aeronautics and Space Administration, Langley Research Center, 1991.

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4

Turner, J. C. Number trees for Pythagoras, Plato, Euler, and the modular group. University of Waikato, 1990.

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5

1707-1783, Euler Leonhard, Caddeo R. (Renzo) editor, Hascher Xavier editor, Jehel Pierre 1982 editor, Papadopoulos Athanase editor, and Papadopoulos Hélène 1983 editor, eds. Leonhard Euler, écrits sur la musique. Hermann, 2015.

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6

Deshpande, Suresh M. A second-order accurate kinetic-theory-based method for inviscid compressible flows. Langley Research Center, 1986.

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7

Diskin, Boris. New factorizable discretizations for the Euler equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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8

Shimura, Gorō. Euler products and Eisenstein series. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1997.

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9

Tadmor, Eitan. A minimum entropy principle in the gas dynamics equation. ICASE, 1986.

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10

Chi-Wang, Shu, and Langley Research Center, eds. Uniform high order spectral methods for one and two dimensional Euler equations. National Aeronautics and Space Administration, Langley Research Center, 1991.

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11

Research Institute for Advanced Computer Science (U.S.), ed. Control theory based airfoil design using the Euler equations. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1994.

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12

Diskin, Boris. Analysis of boundary conditions for factorizable discretizations of the Euler equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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13

Meng-Sing, Liou, Hindman Richard G, and United States. National Aeronautics and Space Administration., eds. An approach for dynamic grids. National Aeronautics and Space Administration, 1994.

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14

Lui, Shiu-Hong. Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1999.

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15

1934-, Jameson Antony, and United States. National Aeronautics and Space Administration, eds. An multigrid LU-SSOR scheme for approximate Newton iteration applied to the Euler equations. National Aeronautics and Space Administration, 1986.

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16

1934-, Jameson Antony, and United States. National Aeronautics and Space Administration, eds. An multigrid LU-SSOR scheme for approximate Newton iteration applied to the Euler equations. National Aeronautics and Space Administration, 1986.

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17

1934-, Jameson Antony, and United States. National Aeronautics and Space Administration., eds. An multigrid LU-SSOR scheme for approximate Newton iteration applied to the Euler equations. National Aeronautics and Space Administration, 1986.

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18

H, Carpenter Mark, and Institute for Computer Applications in Science and Engineering., eds. Boundary and interface conditions for high order finite difference methods applied to the Euler and Navier-Stokes equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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19

Ono, Takashi. Variations on a theme of Euler: Quadratic forms, elliptic curves, and Hopf maps. Plenum Press, 1994.

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20

1944-, Kulish P. P., ed. Quantum groups: Proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990. Springer-Verlag, 1992.

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21

United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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22

United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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23

United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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24

E, Turkel, and Langley Research Center, eds. Multistage schemes with multigrid for Euler and Navier-Stokes equations: Components and analysis. National Aeronautics and Space Administration, Langley Research Center, 1997.

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25

United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., ed. Shock wave interaction with an abrupt area change. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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26

Little, Heath Thomas. Diophantus of Alexandria, a study in the history of Greek algebra: With a supplement containing an account of Fermat's theorems and problems connected with Diophantine analysis and some solutions of Diophantine problems by Euler. 2nd ed. Forgotten Books, 2011.

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27

P, Guruswamy Guru, and United States. National Aeronautics and Space Administration., eds. Wing-body aeroelasticity on parallel computers. American Institute of Aeronautics and Astronautics, 1996.

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28

P, Guruswamy Guru, and United States. National Aeronautics and Space Administration., eds. Wing-body aeroelasticity on parallel computers. American Institute of Aeronautics and Astronautics, 1996.

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29

P, Guruswamy Guru, and United States. National Aeronautics and Space Administration., eds. Wing-body aeroelasticity on parallel computers. American Institute of Aeronautics and Astronautics, 1996.

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30

Goodrich, John W. An approach to the development of numerical algorithms for first order linear hyperbolic systems in multiple space dimensions: The constant coefficient case. National Aeronautics and Space Administration, 1995.

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31

David, Smith. Euler's Theorem: From Beginner to Pro. Dave4Math, 2022.

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32

Wilson, Robin J. Euler's pioneering equation: The most beautiful theorem in mathematics. 2018.

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33

Euler's Pioneering Equation: The Most Beautiful Theorem in Mathematics. Oxford University Press, 2019.

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34

Saiprasad, M., and Ms M. Jayaprada. Partial Differentiation and Euler Theorem: Calculus. Independently Published, 2018.

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35

M. Saiprasad B.Sc(maths) B.E(civil) MIE(India) and Ms M. Jayaprada. Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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36

M. Saiprasad B.Sc (maths) B.E (civil) MIE (India). Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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37

Saiprasad, M. Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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38

Saiprasad, M., and Ms Jayaprada M. Sc (Maths). Partial Differentiation with Euler Theorem: A Guide to Calculus. Independently Published, 2017.

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39

M. Saiprasad B.Sc(maths) B.E(civil) MIE(india). Partial Differentiation and Euler Theorem: 70+ Worked Out Examples. Independently Published, 2017.

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40

Lemmermeyer, Franz. Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics). Springer, 2010.

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41

Rajeev, S. G. Hamiltonian Systems Based on a Lie Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0010.

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There is a remarkable analogy between Euler’s equations for a rigid body and his equations for an ideal fluid. The unifying idea is that of a Lie algebra with an inner product, which is not invariant, on it. The concepts of a vector space, Lie algebra, and inner product are reviewed. A hamiltonian dynamical system is derived from each metric Lie algebra. The Virasoro algebra (famous in string theory) is shown to lead to the KdV equation; and in a limiting case, to the Burgers equation for shocks. A hamiltonian formalism for two-dimensional Euler equations is then developed in detail. A discret

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42

M. Saiprasad B.Sc(maths) B.E(civil) MIE(india). Partial Derivatives and Euler Theorem: 70+ Worked Out Examples Calculus. Independently Published, 2017.

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43

Isett, Philip. Main Lemma Implies the Main Theorem. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0011.

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This chapter shows that the Main Lemma implies the main theorem. It proves Theorem (10.1) by inductively applying the Main Lemma in order to construct a sequence of solutions of the Euler-Reynolds system. At each stage of the induction, an energy function is chosen along with a parameter whose choice determines the growth of the frequency parameter and the decay of the energy level. A base case lemma is then established, after which the proof of the Main Theorem (10.1) is presented so that the Main Lemma implies the Main Theorem. The Main Lemma is employed to approximately prescribe the energy

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44

Rubin, Karl. Euler Systems. Princeton University Press, 2000.

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45

Rubin, Karl. Euler Systems. (Am-147). Princeton University Press, 2014.

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46

Lemmermeyer, Franz. Reciprocity Laws: From Euler to Eisenstein. Springer, 2013.

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47

Chen, Jingkai. Nonlocal Euler-Bernoulli Beam Theories: A Comparative Study. Springer International Publishing AG, 2021.

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48

Rubin, Karl. Euler Systems. (AM-147), Volume 147. Princeton University Press, 2014.

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49

Isett, Philip. The Main Iteration Lemma. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0010.

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This chapter properly formalizes the Main Lemma, first by discussing the frequency energy levels for the Euler-Reynolds equations. Here the bounds are all consistent with the symmetries of the Euler equations, and the scaling symmetry is reflected by dimensional analysis. The chapter proceeds by making assumptions that are consistent with the Galilean invariance of the Euler equations and the Euler-Reynolds equations. If (v, p, R) solve the Euler-Reynolds equations, then a new solution to Euler-Reynolds with the same frequency energy levels can be obtained. The chapter also states the Main Lem

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50

Livermore, Roy. The Paving Stone Theory of World Tectonics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198717867.003.0003.

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Tuzo Wilson introduces the concept of transform faults, which has the effect of transforming Earth Science forever. Resistance to the new ideas is finally overcome in the late 1960s, as the theory of moving plates is established. Two scientists play a major role in quantifying the embryonic theory that is eventually dubbed ‘plate tectonics’. Dan McKenzie applies Euler’s theorem, used previously by Teddy Bullard to reconstruct the continents around the Atlantic, to the problem of plate rotations on a sphere and uses it to unravel the entire history of the Indian Ocean. Jason Morgan also wraps p

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