Applied Mathematics: Body and Soul
Subtitle: Volume 1: Derivatives and Geometry in IR3
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: 425
ISBN-13: 9783642056598; 9783662057964
Subjects: Mathematical physics; Engineering mathematics; Computer science; Chemistry; Matrix theory; Mathematics; Global analysis (Mathematics)
Other titles: (Volume 1)
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: 1. What is Mathematics?- 2. The Mathematics Laboratory; title: 3. Introduction to Modelling.-4. A very short Calculus Course; title: 5. Natural Numbers and Integers; title: 6. Mathematical Induction; title: 7. Rational Numbers; title: 8. Pythagoras and Euclid; title: 9. What is a Function?-10. Polynomial Function; title: 11. Combinations of Functions; title: 12. Lipschitz Continuity; title: 13. Sequences and Limits; title: 14. The Squareroot of Two; title: 15. Real Numbers; title: 16. The Bisection Algorithm for f(x)=0; title: 17. Do Mathematicians Quarrel?- 18. The function y = xr; title: 19. Fixed Points and Contradiction Mapping; title: 20. Analytic Geometry in R2; title: 21. Analytic Geometry in R3; title: 22. Complex Numbers; title: 23. The Derivative; title: 24. Differentiation Rules; title: 25. Newton's Method; title: 26. Galileo, Newton, Hooke, Malthus and Fourier. .