Applied Mathematics: Body and Soul: Volume 3: Calculus in Several Dimensions / Edition 1

Applied Mathematics: Body and Soul: Volume 3: Calculus in Several Dimensions / Edition 1

by Kenneth Eriksson, Donald Estep, Claes Johnson
     
 

ISBN-10: 3540008918

ISBN-13: 9783540008910

Pub. Date: 12/05/2003

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540008910
Publisher:
Springer Berlin Heidelberg
Publication date:
12/05/2003
Edition description:
2004
Pages:
426
Product dimensions:
9.21(w) x 6.14(h) x 1.06(d)

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.

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