Applied Mathematics: Body and Soul : Volume 1: Derivatives and Geometry in IR3 /

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 mathema...

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Bibliographic Details
Main Author:	Eriksson, K. (Kenneth)
Corporate Author:	SpringerLink (Online service)
Other Authors:	Estep, Donald, Johnson, Claes
Format:	eBook
Language:	English
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
Subjects:	Mathematics. Chemistry > Mathematics. Matrix theory. Global analysis (Mathematics) Computer science > Mathematics. Mathematical physics. Engineering mathematics. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. What is Mathematics?- 2. The Mathematics Laboratory
3. Introduction to Modelling.-4. A very short Calculus Course
5. Natural Numbers and Integers
6. Mathematical Induction
7. Rational Numbers
8. Pythagoras and Euclid
9. What is a Function?-10. Polynomial Function
11. Combinations of Functions
12. Lipschitz Continuity
13. Sequences and Limits
14. The Squareroot of Two
15. Real Numbers
16. The Bisection Algorithm for f(x)=0
17. Do Mathematicians Quarrel?- 18. The function y = xr
19. Fixed Points and Contradiction Mapping
20. Analytic Geometry in R2
21. Analytic Geometry in R3
22. Complex Numbers
23. The Derivative
24. Differentiation Rules
25. Newton's Method
26. Galileo, Newton, Hooke, Malthus and Fourier.