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＜E-Book＞
Applied Mathematics: Body and Soul : Volume 1: Derivatives and Geometry in IR3 / by Kenneth Eriksson, Donald Estep, Claes Johnson

Edition	1st ed. 2004.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2004
Language	English
Size	XLIII, 428 p : online resource
Authors	*Eriksson, Kenneth author Estep, Donald author Johnson, Claes author SpringerLink (Online service)
Subjects	LCSH:Mathematical analysis LCSH:Algebras, Linear LCSH:Mathematics -- Data processing  All Subject Search LCSH:Chemometrics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  All Subject Search LCSH:Mathematical physics FREE:Analysis FREE:Linear Algebra FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Applications in Chemistry FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Methods in Physics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-05796-4

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