عنوان

Applied Mathematics: Body and Soul

9783642056598

9783662057964

b406941

Applied Mathematics: Body and Soul

[Book]

Volume 1: Derivatives and Geometry in IR3 /

by Kenneth Eriksson, Donald Estep, Claes Johnson.

Berlin, Heidelberg :

Imprint: Springer,

2004.

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.

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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.

9783642056598

Springer eBooks

(Volume 1)

Chemistry-- Mathematics.

Computer science-- Mathematics.

Engineering mathematics.

Global analysis (Mathematics).

Mathematical physics.

Mathematics.

Matrix theory.

Eriksson, Kenneth.

Estep, Donald.

Johnson, Claes.

SpringerLink (Online service)

20190301074100.0

[Book]

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