Applied Mathematics: Body and Soul
Beschreibung:
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.
- 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.