Applied Mathematics: Body and Soul Calculus in Several Dimensions

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 mathem...

Full description

Bibliographic Details
Main Authors: Eriksson, Kenneth, Estep, Donald (Author), Johnson, Claes (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2004, 2004
Edition:1st ed. 2004
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03513nmm a2200421 u 4500
001 EB000687332
003 EBX01000000000000000540414
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783662058008 
100 1 |a Eriksson, Kenneth 
245 0 0 |a Applied Mathematics: Body and Soul  |h Elektronische Ressource  |b Calculus in Several Dimensions  |c by Kenneth Eriksson, Donald Estep, Claes Johnson 
250 |a 1st ed. 2004 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2004, 2004 
300 |a XLIV, 426 p  |b online resource 
505 0 |a 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 
653 |a Chemometrics 
653 |a Engineering mathematics 
653 |a Mathematical analysis 
653 |a Computational Mathematics and Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Linear Algebra 
653 |a Analysis 
653 |a Mathematical Applications in Chemistry 
653 |a Mathematical physics 
653 |a Engineering / Data processing 
653 |a Algebras, Linear 
653 |a Mathematical and Computational Engineering Applications 
653 |a Mathematical Methods in Physics 
700 1 |a Estep, Donald  |e [author] 
700 1 |a Johnson, Claes  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
028 5 0 |a 10.1007/978-3-662-05800-8 
856 4 0 |u https://doi.org/10.1007/978-3-662-05800-8?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515 
520 |a 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