Titlebook: Handbook of Applied Mathematics; Selected Results and Carl E. Pearson (Professor of Applied Mathematics) Book 1990 Van Nostrand Reinhold 19

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https://doi.org/10.1007/978-1-349-24695-3tinuum mechanics, intended to display the power of tensor theory in a particular field of application, and the next section exhibits some interpretations and analogues of tensor results in classical, nontensorial notation. Finally, a very brief excursion into geometry and tensors in .-dimensional hyperspaces concludes the chapter.

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Consequence

The Post-War Political Settlement) is said to be quasilinear, and has the most general form.where the coefficients .. and . do not depend on the .. but may involve .. In the special case where these coefficients do not involve ., eq. (8.0-2) is said to be linear and, finally, the simplest case results if the coefficients are constants.

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Tensors,tinuum mechanics, intended to display the power of tensor theory in a particular field of application, and the next section exhibits some interpretations and analogues of tensor results in classical, nontensorial notation. Finally, a very brief excursion into geometry and tensors in .-dimensional hyperspaces concludes the chapter.

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Ordinary Differential and Difference Equations,bly less familiar difference equations are of inherent interest (in probability, statistics, economics, etc.) but also appear as recurrence relations in connection with differential equations or as numerical approximations to differential equations.

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First-Order Partial Differential Equations,) is said to be quasilinear, and has the most general form.where the coefficients .. and . do not depend on the .. but may involve .. In the special case where these coefficients do not involve ., eq. (8.0-2) is said to be linear and, finally, the simplest case results if the coefficients are constants.

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