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Calculus in several dimensions, (Applied mathematics : Body & soul, Vol. 3), Softcover reprint of hardcover 1st ed. 2004 Calculus in Several Dimensions

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Calculus in several dimensions, (Applied mathematics : Body & soul, Vol. 3)
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. Volume three presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations. The authors are leading researchers in Computational Mathematics who have written various successful books.

54. Vector-Valued Functions of Several Real Variables.-- Level Curves/Surfaces and the Gradient.-- Linearization and Stability of Initial Value Problems.-- Adaptive Solvers of Initial Value Problems.-- Lorenz and the Essence of Chaos.-- Optimization.-- The Divergence, Rotation and Laplacian.-- Meteorology and Coriolis Forces.-- Curve Integrals.-- Double Integrals.-- Surface Integrals.-- Multiple Integrals.-- Guass' Theorem and Green's Formula in R2.-- Gauss' Theorem and Green's Formula in R3.-- Stokes' Theorem.-- Potential Fields.-- Center of Mass and Archimedes' Principle.-- Newton's Nightmare.-- Laplacian Models.-- Chemical Reactions.-- Calculus Tool Bag II.-- Piecewise Linears in R2 and R3.-- FEM for Boundary Value Problems in R2 and R3.-- Inverse Problems.-- Differential Equations Tool Bag.-- Applications Tool Bag.-- Analytic Functions.-- Fourier Series.-- Fourier Transforms.-- Incompressible Navier-Stokes: Quick and Easy.-- Fourier Analysis Tool Bag.-- Analytic Functions Tool Bag II.- Index.

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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Ouvrage de 426 p.

15.5x23.5 cm

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

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