TY  - BOOK
AU  - Eriksson, K 
AU  - Estep, Don
AU  - Johnson, Claes 
TI  - Applied Mathematics: Body and Soul : : Integrals and Geometry in IRn: Volume 2
SN  - 9783662057988
AV  - QA11.2 
PY  - 2004///]
CY  - New York
PB  - Springer
N1  - 27. The Integral
28. Properties of the Integral
29. The Logarithm log(x)
30. Numerical Quadrature
31. The Exponential Function exp(x) = e x
32. Trigonometric Functions
33. The Functions exp(z), log(z), sin(z) and cos(z) for z ∈ ℂ
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 ℝn
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
N2  - 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.
ER  -