Technical Mathematics with Calculus

ISBN-10: 0130488224
ISBN-13: 9780130488220
Edition: 2nd 2005
List price: $275.60 Buy it from $76.59
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Description: 2B-1, 0-13-048822-4, Ewen, Dale, Gary, Joan S., Trefzger, James E., Technical Mathematics with Calculus, 2/E*/ This book provides readers with necessary mathematics skills, including practical calculus. Mathematics provides the essential framework  More...

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Book details

List price: $275.60
Edition: 2nd
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 6/22/2004
Binding: Paperback
Pages: 1280
Size: 8.25" wide x 10.00" long x 1.75" tall
Weight: 5.500
Language: English

2B-1, 0-13-048822-4, Ewen, Dale, Gary, Joan S., Trefzger, James E., Technical Mathematics with Calculus, 2/E*/ This book provides readers with necessary mathematics skills, including practical calculus. Mathematics provides the essential framework for and is the basic language of all the technologies. Mathematical, problem-solving, and critical thinking skills are crucial to understanding the changing face of technology. It presents the following major areas: fundamental concepts and measurement; fundamental algebraic concepts; exponential and logarithmic functions; right-triangle trigonometry; the trigonometric functions with formulas and identities; complex numbers; matrices; polynomial and rational functions; basic statistics; analytic geometry; differential and integral calculus with applications; partial derivatives and double integrals; series; and differential equations. An excellent learning aid and resource tool for engineers, especially computer software, hardware, and peripheral manufacturers. Its comprehensive appendices make this an excellent desktop reference.

(Note:All chapters end with a Summary and Review section.)
Fundamental Concepts
The Real Number System
Zero and Order of Operations
Scientific Notation and Powers of 10
Measurement
Operations with Measurements
Algebraic Expressions
Exponents and Radicals
Multiplication of Algebraic Expressions
Division of Algebraic Expressions
Linear Equations
Formulas
Substitution of Data into Formulas
Applications Involving Linear Equations
Ratio and Proportion
Variation
Review of Geometry
Angles and Lines
Triangles
Quadrilaterals
Circles
Geometric Solids: Areas and Volumes
Right-Triangle Trigonometry
The Trigonometric Ratios
Values of the Trigonometric Ratios
Solving Right Triangles
Applications of the Right Triangle
Equations and Their Graphs
Functions
Graphing Equations
The Straight Line
Parallel and Perpendicular Lines
The Distance and Midpoint Formulas
Factoring and Algebraic Fractions
Special Products
Factoring Algebraic Expressions
Other Forms of Factoring
Equivalent Fractions
Multiplication and Division of Algebraic Fractions
Addition and Subtraction of Algebraic Fractions
Complex Fractions
Equations with Fractions
Systems of Linear Equations
Solving a System of Two Linear Equations
Other Systems of Equations
Solving a System of Three Linear Equations
Determinants
Properties of Determinants
Solving a System of Linear Equations Using Determinants
Partial Fractions
Quadratic Equations
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
The Quadratic Formula
Applications
Exponents and Radicals
Integral Exponents
Fractional Exponents
Simplest Radical Form
Addition and Subtraction of Radicals
Multiplication and Division of Radicals
Equations with Radicals
Equations in Quadratic Form
Exponentials and Logarithms
The Exponential Function
The Logarithm
Properties of Logarithms
Common Logarithms
Natural Logarithms
Solving Exponential Equations
Solving Logarithmic Equations
Applications: Solving Exponential and Logarithmic Equations
Data Along a Straight Line
Trigonometric Functions
The Trigonometric Functions
Trigonometric Functions of Any Angle
Radian Measure
Use of Radian Measure
Oblique Triangles and Vectors
Law of Sines
The Ambiguous Case
Law of Cosines
Applications of Oblique Triangles
Addition of Vectors: Graphical Methods
Addition of Vectors: Trigonometric Methods
Vector Components
Vector Applications
Graphing the Trigonometric Functions
Graphing the Sine and Cosine Functions
Phase Shift
Graphing the Other Trigonometric Functions
Graphing Composite Curves
Simple Harmonic Motion
Trigonometric Formulas and Identities
Basic Trigonometric Identities
Formulas for the Sum and the Difference of Two Angles
Double- and Half-Angle Formulas
Trigonometric Equations
Inverse Trigonometric Functions
Complex Numbers
Complex Numbers in Rectangular Form
Trigonometric and Exponential Forms of Complex Numbers
Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms
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