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" Applied Mathematics: Body and Soul "
by Kenneth Eriksson, Donald Estep, Claes Johnson.
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BL
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577721
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b406940
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| Main Entry
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Eriksson, Kenneth.
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| Title & Author
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Applied Mathematics: Body and Soul : Volume 2: Integrals and Geometry in IRn /\ by Kenneth Eriksson, Donald Estep, Claes Johnson.
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| Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg :: Imprint: Springer,, 2004.
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| ISBN
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9783662057988
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: 9783642056581
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| Contents
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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.
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| Abstract
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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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Mathematics.
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Chemistry-- Mathematics.
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Matrix theory.
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Global analysis (Mathematics).
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Computer science-- Mathematics.
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Mathematical physics.
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Engineering mathematics.
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Estep, Donald.
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Johnson, Claes.
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SpringerLink (Online service)
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(Volume 2)
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