Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3
Download Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3 By Kenneth Eriksson, Donald Estep, Claes Johnson – 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 possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes IIII 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 ElectroMagnetics on an advanced undergraduate/graduate level.
The authors are leading researchers in Computational Mathematics who have written various successful books.
“Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3 By Kenneth Eriksson, Donald Estep, Claes Johnson – PDF Free Download”
Book Details:
Title Of The Book  Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3 
Author’s Name  Kenneth Eriksson, Donald Estep, Claes Johnson 
Publishers  Kenneth Eriksson, Donald Estep, Claes Johnson 
File Size  – MB 
File Type 
Table Of Content:

What is Mathematics?

The Mathematics Laboratory

Introduction to Modeling

A Very Short Calculus Course

Natural Numbers and Integers

Mathematical Induction

Rational Numbers

Pythagoras and Euclid

What is a Function?

Polynomial functions

Combinations of functions

Lipschitz Continuity

Sequences and limits

The Square Root of Two

Real numbers

The Bisection Algorithm for f(x) = 0

Do Mathematicians Quarrel?

The Function y = x r

Fixed Points and Contraction Mappings

Analytic Geometry in ℝ2

Analytic Geometry in ℝ3

Complex Numbers

The Derivative

Differentiation Rules

Newton’s Method
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