Applied Mathematics: Body and Soul
Subtitle: Volume 2: Integrals and Geometry in IRn
By: by Kenneth Eriksson, Donald Estep, Claes Johnson
Contributors: Estep, Donald; Johnson, Claes
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 404
ISBN-13: 9783642056581; 9783662057988
Subjects: Mathematical physics; Engineering mathematics; Computer science; Chemistry; Matrix theory; Mathematics; Global analysis (Mathematics)
Other titles: (Volume 2)
Description: 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.
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Table of contents: title: 27. The Integral; title: 28. Properties of the Integral; title: 29. The Logarithm log (x); title: 30. Numerical Quadrature; title: 31. The Exponential Function exp(x) = ex; title: 32. Trigonometric Functions; title: 33. The Functions exp(z), log(z), sin(z), and cos(z) for z __C; title: 34. Techniques of Integration; title: 35. Solving Differential Equations Using the Exponential; title: 36. Improper Integrals; title: 37. Series; title: 38. Scalar Autonomous Initial Value Problems; title: 39. Separable Scalar Initial Value Problems; title: 40. The General Initial Value Problem; title: 41. Calculus Tool Bag I; title: 42. Analytic Geometry in Rn; title: 43. The Spectral Theorem; title: 44. Solving Linear Algebraic Systems; title: 45. Linear Algebra Tool Bag; title: 46. The Matrix Exponential exp(xA); title: 47. Lagrange and the Principle of Least Action; title: 48. N-Body Systems; title: 49. The Crash Model; title: 50. Electrical Circuits; title: 51. String Theory; title: 52. Piecewise Linear Approximation; title: 53. FEM for Two-Point Boundary Value Problems.