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Applied mathematics body and soul, volume 3 : calculus in several dimensions应用数学:身体和灵魂

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最低价：￥446.40

定价：￥496.00

作者：K. Eriksson, D. Estep, C. Johnson　著著

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出版时间：2003-12-1

I S B N：9783540008910

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Applied mathematics body and soul, volume 3 : calculus in several dimensions应用数学:身体和灵魂

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价格
446.40元

Applied mathematics body and soul, volume 3 : calculus in several dimensions应用数学:身体和灵魂

送货上门

价格
446.40元

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内容简介

　　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.
　　Volume Ⅰ （Derivatives and Geometry in R3） presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications.
　　Volume Ⅱ （Integrals and Geomtery in Rn） develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented.
　　Volume Ⅲ （Calculus in Several Dimensions） 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.
　　Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.

作者简介

Calculus in Several Dimensions
　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 ToolBag
　82 Analytic Functions
　83 Fourier Series　
　84 Fourier Transforms
　85 Analytic Functions Tool Bag
　86 Fourier Analysis Tool Bag
　87 Incompressible Navier-Stokes: Quick and Easy
References
Index