Math refresher for scientists and engineers

362 Pages·2006·1.63 MB·English

by  John R. Fanchi

MATH REFRESHER
FOR SCIENTISTS
AND ENGINEERS
Third Edition
JOHN R. FANCHI
A JOHN WILEY & SONS, INC., PUBLICATION

MATH REFRESHER
FOR SCIENTISTS
AND ENGINEERS

MATH REFRESHER
FOR SCIENTISTS
AND ENGINEERS
Third Edition
JOHN R. FANCHI
A JOHN WILEY & SONS, INC., PUBLICATION
Copyright#2006byJohnWiley&Sons,Inc.Allrightsreserved
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LibraryofCongressCataloging-in-PublicationData.
Fanchi,JohnR.
Mathrefresherforscientistsandengineers/JohnR.Fanchi.—3rded.
p.cm.
Includesbibliographicalreferencesandindex.
ISBN-13:978-0-471-75715-3
ISBN-10:0-471-75715-2
1.Mathematics.I.Title
QA37.2.F352006
5120.1—dc22 2005056262
PrintedintheUnitedStatesofAmerica
10 9 8 7 6 5 4 3 2 1

CONTENTS
PREFACE xi
1 ALGEBRA 1
1.1 AlgebraicAxioms / 1
1.2 AlgebraicOperations / 6
1.3 Exponents and Roots / 7
1.4 QuadraticEquations / 9
1.5 Logarithms / 10
1.6 Factorials / 12
1.7 Complex Numbers / 13
1.8 Polynomials andPartialFractions / 17
2 GEOMETRY, TRIGONOMETRY,
AND HYPERBOLIC FUNCTIONS 21
2.1 Geometry / 21
2.2 Trigonometry / 26
2.3 Common Coordinate Systems / 32
2.4 Euler’s Equationand Hyperbolic Functions / 34
2.5 Series Representations / 37
3 ANALYTIC GEOMETRY 41
3.1 Line / 41
vii