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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004, 2004
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| Edition: | 1st ed. 2004 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Volume 1
- 1 What is Mathematics?
- 2 The Mathematics Laboratory
- 3 Introduction to Modeling
- 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 functions
- 11 Combinations of functions
- 12 Lipschitz Continuity
- 13 Sequences and limits
- 14 The Square Root 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 Contraction Mappings
- 20 Analytic Geometry in ?2
- 21 Analytic Geometry in ?3
- 22 Complex Numbers
- 23 The Derivative
- 24 Differentiation Rules
- 25 Newton’s Method
- 26 Galileo, Newton, Hooke, Malthus and Fourier
- References