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AuthorEriksson, Kenneth. author
TitleApplied Mathematics: Body and Soul [electronic resource] : Calculus in Several Dimensions / by Kenneth Eriksson, Claes Johnson, Donald Estep
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect tohttp://dx.doi.org/10.1007/978-3-662-05800-8
Descript XLIV, 426 p. online resource

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


CONTENT

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


Mathematics Chemometrics Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Computer mathematics Physics Applied mathematics Engineering mathematics Mathematics Analysis Linear and Multilinear Algebras Matrix Theory Computational Mathematics and Numerical Analysis Math. Applications in Chemistry Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics



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