[PDF] Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn By Kenneth Eriksson, Donald Estep, Claes Johnson Book Free Download


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Download Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn By Kenneth Eriksson, Donald Estep, Claes Johnson – 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.

“Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn By Kenneth Eriksson, Donald Estep, Claes Johnson PDF File”

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Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn By Kenneth Eriksson, Donald Estep, Claes Johnson – PDF Free Download

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Book Contents

  1. The Integral

  2. Properties of the Integral

  3. The Logarithm log(x)

  4. Numerical Quadrature

  5. The Exponential Function exp(x) = e x

  6. Trigonometric Functions

  7. The Functions exp(z), log(z), sin(z) and cos(z) for z ∈ ℂ

  8. Techniques of Integration

  9. Solving Differential Equations Using the Exponential

  10. Improper Integrals

  11. Series

  12. Scalar Autonomous Initial Value Problems

  13. Separable Scalar Initial Value Problems

  14. The General Initial Value Problem

  15. Calculus Tool Bag I

  16. Analytic Geometry in ℝ n

  17. The Spectral Theorem

  18. Solving Linear Algebraic Systems

  19. Linear Algebra Tool Bag

  20. The Matrix Exponential exp(xA)

  21. Lagrange and the Principle of Least Action

  22. N-Body Systems

  23. The Crash Model

  24. Electrical Circuits

  25. String Theory

About Author

  • Kenneth Eriksson
  • Donald Estep
  • Claes Johnson

Book Details

Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn By Kenneth Eriksson, Donald Estep, Claes Johnson – Details

Book Name Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn
Author Name Kenneth Eriksson, Donald Estep, Claes Johnson
Language English
ISBN-10 3540008896
ISBN-13 978-3540008897

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