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Introduction to and Andy Ruina and Rudra Pratap

Introduction to and Andy Ruina and Rudra Pratap

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10 Chapter 0. Preface Preface<br />

Preface<br />

General issues about content, level, organization <strong>and</strong> style, motivation, how<br />

<strong>to</strong> study <strong>and</strong> the use of computers.<br />

This is an engineering statics <strong>and</strong> dynamics text intended as both an introduction<br />

<strong>and</strong> as a reference. It is aimed primarily at middle-level engineering<br />

students. The book emphasizes use of vec<strong>to</strong>rs, free-body diagrams, momentum<br />

<strong>and</strong> energy balance <strong>and</strong> computation. Intuitive approaches are discussed<br />

throughout.<br />

Prerequisite <strong>and</strong> co-requisite skills.<br />

some skills.<br />

We assume some students start with<br />

Freshman calcululus. Readers are assumed <strong>to</strong> have facility with the<br />

basic geometry, algebra, trigonometry, differentiation <strong>and</strong> integration<br />

used in elementary calculus. Some of these <strong>to</strong>pics are briefly reviewed<br />

in this book, but not as ab initio tu<strong>to</strong>rials.<br />

This books shows how <strong>to</strong> set-up algebraic <strong>and</strong> differential equations for computer<br />

solution using a pseudo-language easily translated in<strong>to</strong> any common<br />

computer language or package.<br />

We assume the student knows or is learning a computer language or<br />

package in which they can solve sets of linear algebraic equations,<br />

make plots <strong>and</strong> numerically integrate simple ordinary differential equations.<br />

Many students will have had exposure <strong>to</strong> other useful subjects detailed foreknowledge<br />

of which this book does not assume.<br />

Completion of freshman physics may help but is not needed.<br />

Vec<strong>to</strong>r <strong>to</strong>pics, especially dot <strong>and</strong> cross products, are introduced here<br />

from scratch in the context of mechanics.<br />

A background in linear algebra wouldn’t hurt, but the reduction of linear<br />

equations <strong>to</strong> matrix form is taught here. A key fact from linear<br />

algebra, also presented here, is that linear algebraic equations are generally<br />

amenable <strong>to</strong> simple computer solution.<br />

A course in differential equations would also add context. But the basic<br />

concepts of differential equations are presented here as needed.

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