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Algèbre différentielle. --- Differential algebra

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Algèbre différentielle. --- Differential algebra

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Algebra --- Algèbre différentielle. --- Differential algebra --- Algèbre universelle. --- Algebra, Universal --- Ensembles flous --- Structures algébriques ordonnées --- Théorie des ensembles

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Algebraic topology --- Algebra, Homological --- Differential algebra --- Spectral sequences (Mathematics) --- Torsion products --- Algebra, Differential --- Differential fields --- Algebraic fields --- Differential equations --- Homological algebra --- Algebra, Abstract --- Homology theory --- Products, Torsion --- Sequences (Mathematics) --- Spectral theory (Mathematics) --- Algebra, Homological. --- Differential algebra. --- Torsion products. --- Spectral sequences (Mathematics). --- Algèbre différentielle. --- Suites spectrales (mathématiques) --- Produits de torsion. --- Algèbre homologique.

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Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.

Differentiaalrekening. --- Differential algebra. --- Series, Arithmetic. --- Algèbre différentielle --- Electronic books. -- local. --- Differential algebra --- Series, Arithmetic --- Algebra --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Arithmetic series --- Progressions, Arithmetic --- Algebra, Differential --- Differential fields --- Mathematics. --- Algebraic geometry. --- Difference equations. --- Functional equations. --- Dynamics. --- Ergodic theory. --- Algebraic Geometry. --- Difference and Functional Equations. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equations, Functional --- Functional analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Algebraic geometry --- Math --- Science --- Algebraic fields --- Differential equations --- Geometry, algebraic. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Geometry. --- Euclid's Elements