An edition of Applied Mathematics: Body and Soul (2004)

Applied Mathematics: Body and Soul

Volume 1: Derivatives and Geometry in IR3

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September 28, 2024 | History
An edition of Applied Mathematics: Body and Soul (2004)

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 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.

Publish Date
Language
English
Pages
425

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Edition Availability
Cover of: Applied Mathematics: Body and Soul
Applied Mathematics: Body and Soul: Volume 1: Derivatives and Geometry in IR3
2004, Springer Berlin Heidelberg
electronic resource : in English

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Book Details


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. .

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Other Titles
(Volume 1)

Classifications

Dewey Decimal Class
515
Library of Congress
QA299.6-433, QA1-939

The Physical Object

Format
[electronic resource] :
Pagination
1 online resource (xliii, 425 p.)
Number of pages
425

Edition Identifiers

Open Library
OL27017614M
ISBN 10
3642056598, 3662057964
ISBN 13
9783642056598, 9783662057964
OCLC/WorldCat
851375627

Work Identifiers

Work ID
OL19827315W

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September 28, 2024 Edited by MARC Bot import existing book
January 27, 2022 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot import new book