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The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European math
Mathematics --- History --- Euler, Leonhard, --- Math --- Science --- Mathematicians --- Mathematicians - Switzerland - Biography --- Mathematics - Switzerland - History - 18th century --- Euler, Leonhard, - 1707-1783
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The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.*Completely reset edition of Gradshteyn and Ryzhik reference book*New entries and sections kept in orginal numbering system with an expanded bibliography*Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.orthogonal polynomials, theta functions, Laplace and Fourier tr
Functional analysis --- Mathematics --- Mathématiques --- Tables. --- Tables --- 517.58 --- 517.3 --- 519.66 --- -Math --- Science --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Integral calculus. Integration --- Mathematic tables and their compilation --- -Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- 519.66 Mathematic tables and their compilation --- 517.3 Integral calculus. Integration --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- -519.66 Mathematic tables and their compilation --- Math --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Logarithms. --- Logs (Logarithms) --- Algebra --- Mathematics - Tables
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The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.
Differential geometry. Global analysis --- Classical mechanics. Field theory --- Mechanics. --- Field theory (Physics) --- Lagrange equations. --- Hamilton-Jacobi equations. --- Geometry, Differential. --- Geometry, Differential --- Hamilton-Jacobi equations --- Lagrange equations --- Mechanics --- Champs, Théorie des (Physique) --- Géométrie différentielle --- Hamilton-Jacobi, Equations de --- Lagrange, Equations de --- Mécanique --- ELSEVIER-B EPUB-LIV-FT --- Field theory (Physics). --- Differential geometry --- Equations, Hamilton-Jacobi --- Equations, Jacobi-Hamilton --- Jacobi-Hamilton equations --- Calculus of variations --- Differential equations, Partial --- Hamiltonian systems --- D'Alembert equation --- Equations, Euler-Lagrange --- Equations, Lagrange --- Euler-Lagrange equations --- Lagrangian equations --- Differential equations --- Equations of motion --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory
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This study explores the evolution of Lomonosov's imposing stature in Russian thought from the middle of the eighteenth century to the closing years of the Soviet period. It reveals much about the intersection in Russian culture of attitudes towards the meaning and significance of science, as well as about the rise of a Russian national identity, of which Lomonosov became an outstanding symbol. Idealized depictions of Lomonosov were employed by Russian scientists, historians, and poets, among others, in efforts to affirm to their countrymen and to the state the pragmatic advantages of science to a modernizing nation. In setting forth this assumption, Usitalo notes that no sharply drawn division can be upheld between the utilization of the myth of Lomonosov during the Soviet period of Russian history and that which characterized earlier views. The main elements that formed the mythology were laid down in the eighteenth and nineteenth centuries; Soviet scholars simply added more exaggerated layers to existing representations.
Authors, Russian --- Enlightenment --- Lomonosov, Mikhail Vasilʹevich, --- Ломоносов, Михаил Васильевич, --- Lomonossov, Michail V., --- Lomonossow, Michail Wassiljewitsch, --- Lomonosovas, Michailas Vasiljevičius, --- Ломоносов, М. В. --- Lomonosov, M. V. --- Lomonosov, Mikhaĭlo, --- Lomonosow, Michaelis, --- Łomonosow, Michaił Wasilewicz, --- Łomonosow, Michał, --- Russia --- Civilization --- Soviet Union --- History --- Alexander Pushkin --- Alexander Radishchev --- Isaac Newton --- Leonhard Euler --- Mikhail Lomonosov --- Russian Academy of Sciences --- Russians --- Saint Petersburg
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