標(biāo)題: Titlebook: Applied Mathematics: Body and Soul; Volume 2: Integrals Kenneth Eriksson,Donald Estep,Claes Johnson Textbook 2004 Springer-Verlag Berlin H [打印本頁] 作者: 空隙 時間: 2025-3-21 17:09
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書目名稱Applied Mathematics: Body and Soul讀者反饋
書目名稱Applied Mathematics: Body and Soul讀者反饋學(xué)科排名
作者: 親屬 時間: 2025-3-21 22:32
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.作者: NAUT 時間: 2025-3-22 02:02 作者: Exaggerate 時間: 2025-3-22 06:06 作者: accomplishment 時間: 2025-3-22 10:15 作者: BLA 時間: 2025-3-22 13:47
Isabell van Ackeren,Klaus Klemm : ? → ? and . : ? → ?. We thus consider the initial value problem.where . : ? → ? and . : ? → ? 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).作者: EXUDE 時間: 2025-3-22 18:27
Die Abwehr des Typhus bei den Feldarmeen,or . ∈ ?.. We recall that if . is non-singular with non-zero determinant, then the solution . ∈ ?. 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.作者: 北京人起源 時間: 2025-3-23 00:43 作者: PAC 時間: 2025-3-23 02:15 作者: 廚師 時間: 2025-3-23 09:32 作者: 冰河期 時間: 2025-3-23 11:28
http://image.papertrans.cn/a/image/159946.jpg作者: Malcontent 時間: 2025-3-23 16:01 作者: Adenocarcinoma 時間: 2025-3-23 21:42
Techniques of Integration,the polynomials, rational functions, root functions, exponentials and trigonometric functions along with their inverses and combinations. It is not even true that the primitive function of an elementary function is another elementary function.作者: gorgeous 時間: 2025-3-24 01:52 作者: 大火 時間: 2025-3-24 06:01
Scalar Autonomous Initial Value Problems,given initial value. We assume that . : ? → ? is bounded and Lipschitz continuous, that is, there are constants .. and .. such that for all, ., . ∈ ?,.For definiteness, we choose the interval [0, 1], and we may of course generalize to any interval [., .].作者: 紀(jì)念 時間: 2025-3-24 07:19
Separable Scalar Initial Value Problems, : ? → ? and . : ? → ?. We thus consider the initial value problem.where . : ? → ? and . : ? → ? 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).作者: Adulate 時間: 2025-3-24 10:58
Solving Linear Algebraic Systems,or . ∈ ?.. We recall that if . is non-singular with non-zero determinant, then the solution . ∈ ?. 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.作者: 隱藏 時間: 2025-3-24 15:42
Entstehung von Unternehmenskrisen would be hard to overstate its importance. We have been preparing for this chapter for a long time, starting from the beginning with Chapter ., through all of the chapters on functions, sequences, limits, real numbers, derivatives and basic differential equation models. So we hope the gentle reader作者: Sarcoma 時間: 2025-3-24 20:58 作者: Amendment 時間: 2025-3-25 02:49
https://doi.org/10.1007/978-3-8349-9918-4ntinuous on any given interval [., .] with 0 < . < ., we know by the Fundamental Theorem that there is a unique function .(.) which satisfies u′(.) = 1/. for a ≤ x ≤ b and takes on a specific value at some point in [., .], for example .(1) = 0. Since . > 0 may be chosen as small as we please and . a作者: AGOG 時間: 2025-3-25 04:18
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作者: 柔軟 時間: 2025-3-25 10:06
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.作者: 解脫 時間: 2025-3-25 13:13 作者: erythema 時間: 2025-3-25 15:52
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.作者: Presbycusis 時間: 2025-3-25 20:55
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 作者: 施魔法 時間: 2025-3-26 02:15 作者: 遺留之物 時間: 2025-3-26 06:46 作者: Nuance 時間: 2025-3-26 10:30
Isabell van Ackeren,Klaus Klemm [0, 1] → ?. is a given bounded and Lipschitz continuous function, .. ∈ ?. 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 ?. and ?., and extend to the case . > 3 after having read the chapter on作者: craven 時間: 2025-3-26 12:56 作者: 為敵 時間: 2025-3-26 20:36
Die Abwehr des Typhus bei den Feldarmeen,or . ∈ ?.. We recall that if . is non-singular with non-zero determinant, then the solution . ∈ ?. 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作者: helper-T-cells 時間: 2025-3-27 00:55 作者: IDEAS 時間: 2025-3-27 02:07 作者: 摸索 時間: 2025-3-27 05:51 作者: hypnotic 時間: 2025-3-27 11:36
https://doi.org/10.1007/978-3-658-43348-2We present a . containing a minimal set of important tools and concepts of Calculus for functions . : ? → ?. Below, we present . containing the corresponding of tools and concepts of Calculus for functions . : ?. → ?.作者: garrulous 時間: 2025-3-27 15:23
https://doi.org/10.1007/978-3-658-43348-2We now generalize the discussion of analytic geometry to ?., where n is an arbitrary natural number. Following the pattern set above for ?. and ?., we define ?. to be the set of all possible ordered .-tuples of the form (.., .., ... , ..) with .. ∈ ? for . = 1, ... , .. We refer to ?. as ..作者: 凝結(jié)劑 時間: 2025-3-27 18:41 作者: CYT 時間: 2025-3-28 01:27
The Exponential Function exp(,) = ,,,In this chapter we return to study of the . exp(.), which we have met above in Chapter . and Chapter ., ., ., ., and which is one of the basic functions of Calculus, see Fig. 31.1.作者: 中子 時間: 2025-3-28 03:54
,The Functions exp(,), log(,), sin(,) and cos(,) for , ∈ ?,In this chapter we extend some of the elementary functions to complex arguments. We recall that we can write a complex number . in the form . = ∣.∣(cos(.) + . sin(.)) with . = arg . the argument of ., and 0 ≤ . = Arg . < 2π the principal argument of ..作者: 有組織 時間: 2025-3-28 06:37 作者: immunity 時間: 2025-3-28 11:58
Calculus Tool Bag I,We present a . containing a minimal set of important tools and concepts of Calculus for functions . : ? → ?. Below, we present . containing the corresponding of tools and concepts of Calculus for functions . : ?. → ?.作者: habile 時間: 2025-3-28 15:02
,Analytic Geometry in ?,,We now generalize the discussion of analytic geometry to ?., where n is an arbitrary natural number. Following the pattern set above for ?. and ?., we define ?. to be the set of all possible ordered .-tuples of the form (.., .., ... , ..) with .. ∈ ? for . = 1, ... , .. We refer to ?. as ..作者: 尋找 時間: 2025-3-28 22:21
Linear Algebra Tool Bag,. of two vectors . = (.., ..) and . = (.., ..) in ?.:作者: LIEN 時間: 2025-3-29 01:09 作者: 槍支 時間: 2025-3-29 04:05 作者: DAFT 時間: 2025-3-29 09:17
The Logarithm log(,),ntinuous on any given interval [., .] with 0 < . < ., we know by the Fundamental Theorem that there is a unique function .(.) which satisfies u′(.) = 1/. for a ≤ x ≤ b and takes on a specific value at some point in [., .], for example .(1) = 0. Since . > 0 may be chosen as small as we please and . a作者: Essential 時間: 2025-3-29 11:52
Numerical Quadrature,a 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作者: RALES 時間: 2025-3-29 16:39
Trigonometric Functions,initial 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.作者: 光明正大 時間: 2025-3-29 23:42
Techniques of Integration,the polynomials, rational functions, root functions, exponentials and trigonometric functions along with their inverses and combinations. It is not even true that the primitive function of an elementary function is another elementary function.作者: 描繪 時間: 2025-3-30 02:28
Improper Integrals,r 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.作者: GLIB 時間: 2025-3-30 05:49 作者: 狂亂 時間: 2025-3-30 10:16 作者: Calculus 時間: 2025-3-30 13:46
Separable Scalar Initial Value Problems, : ? → ? and . : ? → ?. We thus consider the initial value problem.where . : ? → ? and . : ? → ? 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 作者: 跳脫衣舞的人 時間: 2025-3-30 20:36
The General Initial Value Problem, [0, 1] → ?. is a given bounded and Lipschitz continuous function, .. ∈ ?. 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 ?. and ?., and extend to the case . > 3 after having read the chapter on作者: obviate 時間: 2025-3-30 23:41
The Spectral Theorem, assume that the elements .. are real numbers. If . = (.., ... , ..) ∈ ?. is a non-zero vector that satisfies.where λ is a real number, then we say that . ∈ ?.. is an . of . and that λ is a corresponding e. of .. An eigenvector . has the property that . is parallel to . (if λ ≠ 0), or . = 0 (if λ = 作者: 方舟 時間: 2025-3-31 03:52
Solving Linear Algebraic Systems,or . ∈ ?.. We recall that if . is non-singular with non-zero determinant, then the solution . ∈ ?. 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作者: Jejune 時間: 2025-3-31 06:56
chemical engineering students at the prestigious Chalmers U.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 possib作者: Vsd168 時間: 2025-3-31 09:59
Entstehung von Unternehmenskrisengh all of the chapters on functions, sequences, limits, real numbers, derivatives and basic differential equation models. So we hope the gentle reader is both excited and ready to embark on this new exploration.作者: 牛馬之尿 時間: 2025-3-31 16:30 作者: 熒光 時間: 2025-3-31 20:53 作者: 過渡時期 時間: 2025-3-31 22:39 作者: Keratectomy 時間: 2025-4-1 04:10 作者: Control-Group 時間: 2025-4-1 10:05 作者: Infuriate 時間: 2025-4-1 12:24
The Integral,gh all of the chapters on functions, sequences, limits, real numbers, derivatives and basic differential equation models. So we hope the gentle reader is both excited and ready to embark on this new exploration.作者: scrape 時間: 2025-4-1 16:59 作者: 漫步 時間: 2025-4-1 19:05 作者: 天空 時間: 2025-4-2 01:12 作者: 徹底明白 時間: 2025-4-2 03:42
Series,eries 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 infinite number of terms one-by-one, and we thus need to define what we mean by an “infinite sum”.
