Author	Eriksson, Kenneth. author
Title	Applied Mathematics: Body and Soul [electronic resource] : Volume 2: Integrals and Geometry in IRn / by Kenneth Eriksson, Donald Estep, Claes Johnson
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect to	http://dx.doi.org/10.1007/978-3-662-05798-8
Descript	XLVI, 352 p. online resource

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 possibilities 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

Volume 2 -- 27 The Integral -- 28 Properties of the Integral -- 29 The Logarithm log(x) -- 30 Numerical Quadrature -- 31 The Exponential Function exp(x) = ex -- 32 Trigonometric Functions -- 33 The Functions exp(z), log(z), sin(z) and cos(z) forz ? ? -- 34 Techniques of Integration -- 35 Solving Differential Equations Using the Exponential -- 36 Improper Integrals -- 37 Series -- 38 Scalar Autonomous Initial Value Problems -- 39 Separable Scalar Initial Value Problems -- 40 The General Initial Value Problem -- 41 Calculus Tool Bag I -- 42 Analytic Geometry in ?n -- 43 The Spectral Theorem -- 44 Solving Linear Algebraic Systems -- 45 Linear Algebra Tool Bag -- 46 The Matrix Exponential exp(xA) -- 47 Lagrange and the Principle of Least Action* -- 48 N-Body Systems* -- 49 The Crash Model* -- 50 Electrical Circuits* -- 51 String Theory* -- 52 Piecewise Linear Approximation -- 53 FEM for Two-Point Boundary Value Problems -- References

1. Mathematics
2. Chemometrics
3. Matrix theory
4. Algebra
5. Mathematical analysis
6. Analysis (Mathematics)
7. Computer mathematics
8. Physics
9. Applied mathematics
10. Engineering mathematics
11. Mathematics
12. Analysis
13. Linear and Multilinear Algebras
14. Matrix Theory
15. Computational Mathematics and Numerical Analysis
16. Math. Applications in Chemistry
17. Appl.Mathematics/Computational Methods of Engineering
18. Mathematical Methods in Physics