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Applied Mathematics: Body and Soul [Volume 3]: Calculus in Several Dimensions

Posted By: exLib
Applied Mathematics: Body and Soul [Volume 3]: Calculus in Several Dimensions

"Applied Mathematics: Body and Soul [Volume 3]: Calculus in Several Dimensions" by Kenneth Eriksson, Donald Estep, Claes Johnson
Sрringеr | 2004 | ISBN: 3540008918 9783642056604 9783662058008 9783540008910 | 450 pages | PDF | 33 MB

This volume 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.


Applied Mathematics: Body&Soul is a mathematics education reform program including a series of books, together with associated educational material
The Body&Soul series of books presents CC in a synthesis of computational mathematics (Body) and analytical mathematics (Soul) including applications.

AM I-III contains a synthesis of calculus and linear algebra including computational methods and a variety of applications.
AM IV - offers a continuation with aseries of volumes dedicated to specific areas of applications such as Dynamical Systems and Fluid Mechanics


Contents Volume 3
Preface
Acknowledgment
Volume 3: Calculus in Several Dimensions
54 Vector-Valued Functions of Several Real Variables
55 Level CurvesjSurfaces 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 R^2
68 Gauss' Theorem and Green's Formula in R^3
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 R^2 and R^3
77 FEM for Boundary Value Problems in R^2 and R^3
78 Inverse Problems
79 Optimal Control
80 Differential Equations Tool Bag
81 Applications Tool Bag
82 Analytic Functions
83 Fourier Series
84 Fourier Transforms
85 Analytic Functions Tool Bag
86 Fourier Analysis Tool Bag
87 Incom pressible Navier-Stokes: Quick and Easy
References
Index
with TOC BookMarkLinks

Volume 3: Calculus in Several Dimensions:
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UlNet • | • HiFi • | • SiBi • | • TuBi


Volume 1: Derivatives and Geometry in R3:
DepositF • | • RGator • | • NitroF • | • UlNet • | • HiFi • | • SiBi • | • TuBi


Volume 2: Integrals and Geometry in Rn:
DepositF • | • RGator • | • NitroF • | • UlNet • | • HiFi • | • SiBi • | • TuBi


Volume 4: Computational Turbulent Incompressible Flow:
DepositF • | • RGator • | • NitroF • | • UlNet • | • HiFi • | • SiBi • | • TuBi