Cover image for Applied mathematics body and soul
Title:
Applied mathematics body and soul
Personal Author:
Publication Information:
New York, NY : Springer-Verlag, 2004
Physical Description:
v.
ISBN:
9783540008910

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Library
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30000010138517 QA11.2 E74 2004 Open Access Book Book
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30000010156631 QA11.2 E74 2004 Open Access Book Book
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Summary

Summary

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 possibilitites 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.


Table of Contents

54 Vector-Valued Functions of Several Real Variables
55 Level Curves/Surfaces and the Gradient
56 Linearization and Stability of Initial Value Problems
57 Adaptive Solvers of Initial Value Problems
58 Lorenz and the Essence of Chaos
59 Optimization
60 The Divergence, Rotation and Laplacian
61 Meteorology and Coriolis Forces
62 Curve Integrals
63 Double Integrals
64 Surface Integrals
65 Multiple Integrals
66 Gauss' Theorem and Green's Formula in R2
67 Gauss' Theorem and Green's Formula in R3
68 Stokes' Theorem
69 Potential Fields
70 Center of Mass and Archimedes' Principle
71 Newton's Nightmare
72 Laplacian Models
73 Chemical Reactions
74 Calculus Tool Bag II
75 Piecewise Linears in R2 and R3
76 FEM for Boundary Value Problems in R2 and R3
77 Inverse Problems
78 Differential Equations Tool Bag
79 Applications Tool Bag
80 Analytic Functions
81 Fourier Series
82 Fourier Transforms
83 Incompressible Navier-Stokes: Quick and Easy
84 Fourier Analysis Tool Bag
85 Analytic Functions Tool Bag II
Index.