Applied mathematics: body and soul : Calculus in Several Dimensions; Vol. 3

By: Eriksson, KContributor(s): Johnson, Claes | Estep, DonMaterial type: TextTextPublication details: New York: Springer, [c2004]Description: 1213 pISBN: 9783540008910LOC classification: QA11.2
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 for IVPs 58. Lorenz and the Essence of Chaos 59. The Solar System 60. Optimization 61. The Divergence, Rotation and Laplacian 62. Meteorology and Coriolis Forces 63. Curve Integrals 64. Double Integrals 65. Surface Integrals 66. Multiple Integrals 67. Gauss’ Theorem and Green’s Formula in ℝ2 68. Gauss’ Theorem and Green’s Formula in ℝ3 69. Stokes’ Theorem 70. Potential Fields 71. Center of Mass and Archimedes’ Principle 72. Newton’s Nightmare 73. Laplacian Models 74. Chemical Reactions 75. Calculus Tool Bag II 76. Piecewise Linear Polynomials in ℝ2 and ℝ3 77. FEM for Boundary Value Problems in ℝ2 and ℝ3 78. Inverse Problems 79. Optimal Control 80. Differential Equations Tool Bag 81. Applications Tool Bag 82. Analytic Functions 83. Fourier Series 84. Analytic Functions Tool Bag 85. Fourier Analysis Tool Bag 86. Incompressible Navier-Stokes: Quick and Easy
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.
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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 for IVPs
58. Lorenz and the Essence of Chaos
59. The Solar System
60. Optimization
61. The Divergence, Rotation and Laplacian
62. Meteorology and Coriolis Forces
63. Curve Integrals
64. Double Integrals
65. Surface Integrals
66. Multiple Integrals
67. Gauss’ Theorem and Green’s Formula in ℝ2
68. Gauss’ Theorem and Green’s Formula in ℝ3
69. Stokes’ Theorem
70. Potential Fields
71. Center of Mass and Archimedes’ Principle
72. Newton’s Nightmare
73. Laplacian Models
74. Chemical Reactions
75. Calculus Tool Bag II
76. Piecewise Linear Polynomials in ℝ2 and ℝ3
77. FEM for Boundary Value Problems in ℝ2 and ℝ3
78. Inverse Problems
79. Optimal Control
80. Differential Equations Tool Bag
81. Applications Tool Bag
82. Analytic Functions
83. Fourier Series
84. Analytic Functions Tool Bag
85. Fourier Analysis Tool Bag
86. Incompressible Navier-Stokes: Quick and Easy

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.

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