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Catalogue Information
Field name	Details
Dewey Class	515
Title	Applied Mathematics: Body and Soul ([EBook]) : Volume 2: Integrals and Geometry in IRn / by Kenneth Eriksson, Donald Estep, Claes Johnson.
Author	Eriksson, Kenneth
Added Personal Name	Estep, Donald J. , 1959-
Added Personal Name	Johnson, Claes
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2004.
Physical Details	XLVI, 352 p. : online resource.
ISBN	9783662057988
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-05798-8
Links to Related Works	Subject References: Algebra . Analysis . Analysis (Mathematics) . Applied mathematics . Engineering mathematics . Linear and Multilinear Algebras, Matrix Theory . Mathematical analysis . Mathematical Methods in Physics . Mathematics . Matrix theory . Authors: author . Eriksson, Kenneth . Estep, Donald J. 1959- . Estep, Donald J., 1959- . Johnson, Claes . Corporate Authors: SpringerLink (Online service) . Classification: 515 . 515 (DDC 22) .

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Applied Mathematics: Body and Soul: Volume 2: Integrals and Geometry in IRn

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