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Titlebook: Applied Mathematics: Body and Soul; Volume 2: Integrals Kenneth Eriksson,Donald Estep,Claes Johnson Textbook 2004 Springer-Verlag Berlin H

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期刊全称Applied Mathematics: Body and Soul
期刊简称Volume 2: Integrals
影响因子2023Kenneth Eriksson,Donald Estep,Claes Johnson
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发行地址First comprehensive beginners‘ course for mathematics from an applications-oriented point of view.Originally arose from course developed for chemical engineering students at the prestigious Chalmers U
图书封面Titlebook: Applied Mathematics: Body and Soul; Volume 2: Integrals  Kenneth Eriksson,Donald Estep,Claes Johnson Textbook 2004 Springer-Verlag Berlin H
影响因子.Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. ..The authors are leading researchers in Computational Mathematics who have written various successful books..
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https://doi.org/10.1007/978-3-663-13445-9initial conditions because the problem involves a second order derivative. We may compare with the first order initial value problem: .′(.) = −.(.) for . > 0, .(0) = .., with the solution .(.) = exp(−.), which we studied in the previous chapter.
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Isabell van Ackeren,Klaus Klemm : ℝ → ℝ and . : ℝ → ℝ. We thus consider the initial value problem.where . : ℝ → ℝ and . : ℝ → ℝ are given functions, which we refer to as a . problem, because the right hand side . (.(.), .) separates into the quotient of one function .(.) of x only, and one function .(.(.)) of .(.) only according to (39.2).
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Die Abwehr des Typhus bei den Feldarmeen,or . ∈ ℝ.. We recall that if . is non-singular with non-zero determinant, then the solution . ∈ ℝ. is theoretically given by Cramer’s formula. However if . is large, the computational work in using Cramer’s formula is prohibitively large, so we need to find a more efficient means of computing the solution.
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