Applied Mathematics: Body and Soul : Volume 2: Integrals and Geometry in IRn /

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 mathema...

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Bibliographic Details
Main Author:	Eriksson, K. (Kenneth)
Corporate Author:	SpringerLink (Online service)
Other Authors:	Estep, Donald, Johnson, Claes
Format:	eBook
Language:	English
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
Subjects:	Mathematics. Chemistry > Mathematics. Matrix theory. Global analysis (Mathematics) Computer science > Mathematics. Mathematical physics. Engineering mathematics. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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) 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.