[PDF] Applied Mathematics: Body and Soul: Calculus in Several Dimensions: 3 By Kenneth Eriksson, Donald Estep, Claes Johnson Book Free Download


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Download Applied Mathematics: Body and Soul: Calculus in Several Dimensions: 3 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.

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Book Contents

  1. Vector-Valued Functions of Several Real Variables

  2. Level Curves/Surfaces and the Gradient

  3. Linearization and Stability of Initial Value Problems

  4. Adaptive Solvers for IVPs

  5. Lorenz and the Essence of Chaos

  6. The Solar System

  7. Optimization

  8. The Divergence, Rotation and Laplacian

  9. Meteorology and Coriolis Forces

  10. Curve Integrals

  11. Double Integrals

  12. Surface Integrals

  13. Multiple Integrals

  14. Gauss’ Theorem and Green’s Formula in ℝ2

  15. Gauss’ Theorem and Green’s Formula in ℝ3

  16. Stokes’ Theorem

  17. Potential Fields

  18. Center of Mass and Archimedes’ Principle

  19. Newton’s Nightmare

  20. Laplacian Models

  21. Chemical Reactions

  22. Calculus Tool Bag II

  23. Piecewise Linear Polynomials in ℝ2 and ℝ3

  24. FEM for Boundary Value Problems in ℝ2 and ℝ3

  25. Inverse Problems

About Author

  • Kenneth Eriksson
  • Donald Estep
  • Claes Johnson

Book Details

Applied Mathematics: Body and Soul: Calculus in Several Dimensions: 3 By Kenneth Eriksson, Donald Estep, Claes Johnson – Details

Book Name Applied Mathematics: Body and Soul: Calculus in Several Dimensions: 3
Author Name Kenneth Eriksson, Donald Estep, Claes Johnson
Language English
ISBN-10 3540008918
ISBN-13 978-3540008910

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