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" Applied Mathematics: Body and Soul "
by Kenneth Eriksson, Donald Estep, Claes Johnson.
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BL
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577722
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b406941
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| Main Entry
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Eriksson, Kenneth.
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| Title & Author
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Applied Mathematics: Body and Soul : Volume 1: Derivatives and Geometry in IR3 /\ by Kenneth Eriksson, Donald Estep, Claes Johnson.
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| Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg :: Imprint: Springer,, 2004.
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| ISBN
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9783662057964
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: 9783642056598
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| Contents
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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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| Abstract
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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.
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Mathematics.
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Chemistry-- Mathematics.
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Matrix theory.
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Global analysis (Mathematics).
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Computer science-- Mathematics.
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Mathematical physics.
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Engineering mathematics.
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Estep, Donald.
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Johnson, Claes.
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SpringerLink (Online service)
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(Volume 1)
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