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＜電子ブック＞
Applied Mathematics: Body and Soul : Volume 2: Integrals and Geometry in IRn / by Kenneth Eriksson, Donald Estep, Claes Johnson

版	1st ed. 2004.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	XLVI, 352 p : online resource
著者標目	*Eriksson, Kenneth author Estep, Donald author Johnson, Claes author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Algebras, Linear LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Chemometrics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical physics FREE:Analysis FREE:Linear Algebra FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Applications in Chemistry FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Methods in Physics
一般注記	Volume 2 -- 27 The Integral -- 28 Properties of the Integral -- 29 The Logarithm log(x) -- 30 Numerical Quadrature -- 31 The Exponential Function exp(x) = ex -- 32 Trigonometric Functions -- 33 The Functions exp(z), log(z), sin(z) and cos(z) forz ? ? -- 34 Techniques of Integration -- 35 Solving Differential Equations Using the Exponential -- 36 Improper Integrals -- 37 Series -- 38 Scalar Autonomous Initial Value Problems -- 39 Separable Scalar Initial Value Problems -- 40 The General Initial Value Problem -- 41 Calculus Tool Bag I -- 42 Analytic Geometry in ?n -- 43 The Spectral Theorem -- 44 Solving Linear Algebraic Systems -- 45 Linear Algebra Tool Bag -- 46 The Matrix Exponential exp(xA) -- 47 Lagrange and the Principle of Least Action* -- 48 N-Body Systems* -- 49 The Crash Model* -- 50 Electrical Circuits* -- 51 String Theory* -- 52 Piecewise Linear Approximation -- 53 FEM for Two-Point Boundary Value Problems -- References 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 HTTP:URL=https://doi.org/10.1007/978-3-662-05798-8

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