Eriksson, K
Applied mathematics: body and soul derivatives and geometry in IR3: volume 1 - New York: Springer, [c2004] - 425 p
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 = x r
19. Fixed Points and Contraction Mappings
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
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.
9783642056598
QA11.2
Applied mathematics: body and soul derivatives and geometry in IR3: volume 1 - New York: Springer, [c2004] - 425 p
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 = x r
19. Fixed Points and Contraction Mappings
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
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.
9783642056598
QA11.2