Description
Springer Applied Mathematics Body And Soul Calculus In Several Dimensions 2004 Edition by Kenneth Eriksson Donald Estep Claes Johnson
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.