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

By: Eriksson, KContributor(s): Estep, Don | Johnson, ClaesMaterial type: TextTextPublication details: New York: Springer, [c2004]Description: 404 pISBN: 9783662057988LOC classification: QA11.2
Contents:
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
Summary: 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.
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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

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.

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