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Applied Mathematics: Body and Soul, 2004 Calculus in Several Dimensions

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Applied Mathematics: Body and Soul

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.

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.

First comprehensive beginners' course for mathematics from an applications-oriented point of view

Originally arose from course developed for chemical engineering students at the prestigious Chalmers University of Technology

Covers all the undergraduate mathematics in calculus, analysis, and linear algebra

Presents completely a new approach to mathematics teaching integrating computation from the very beginning

Has been thoroughly class-tested

Can be used for students in mathematics, engineering and science

Contains many sections on the historical development of computational mathematics, as well as many real applications

Accompanying software with examples available via the internet

Includes supplementary material: sn.pub/extras

Date de parution :

Ouvrage de 426 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

52,74 €

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Date de parution :

Ouvrage de 426 p.

15.5x23.5 cm

Sous réserve de disponibilité chez l'éditeur.

52,74 €

Ajouter au panier