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 |

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. The authors are leading researchers in Computational Mathematics who have written various successful books

CONTENT

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

Mathematics
Chemometrics
Matrix theory
Algebra
Mathematical analysis
Analysis (Mathematics)
Computer mathematics
Physics
Applied mathematics
Engineering mathematics
Mathematics
Analysis
Linear and Multilinear Algebras Matrix Theory
Computational Mathematics and Numerical Analysis
Math. Applications in Chemistry
Appl.Mathematics/Computational Methods of Engineering
Mathematical Methods in Physics