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

AGOG

https://doi.org/10.1007/978-3-8349-9918-4a for the primitive function in terms of known functions. For example we can give a formula for a primitive function of a polynomial as another polynomial. We will return in Chapter . to the question of finding analytical formulas for primitive functions of certain classes of functions. The Fundamen

柔软

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.

解脱

erythema

https://doi.org/10.1007/978-3-531-20000-2r unbounded intervals. We call such integrals ., or sometimes (more properly) . integrals. We compute these integrals using the basic results on convergence of sequences that we have already developed.

Presbycusis

Isabell van Ackeren,Klaus Klemm, and an . with an infinite number of terms. A finite series does not pose any mysteries; we can, at least in principle, compute the sum of a finite series by adding the terms one-by-one, given enough time. The concept of an infinite series requires some explanation, since we cannot actually add an

施魔法

遗留之物

Nuance

Isabell van Ackeren,Klaus Klemm [0, 1] → ℝ. is a given bounded and Lipschitz continuous function, .. ∈ ℝ. is a given initial value, and . ≥ 1 is the dimension of the system. The reader may assume . = 2 or . = 3, recalling the chapters on analytic geometry in ℝ. and ℝ., and extend to the case . > 3 after having read the chapter on

craven

为敌

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 so