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Technical Mathematics with Calculus

ISBN-10: 0471695920
ISBN-13: 9780471695929
Edition: 5th 2007 (Revised)
List price: $197.95
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Description: This invaluable book is renowned for its fully worked examples and numerous applications. Concepts are presented either graphically, analytically, or numerically (sometimes using more than one approach) depending on which seems the most appropriate  More...

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Book details

List price: $197.95
Edition: 5th
Copyright year: 2007
Publisher: John Wiley & Sons, Incorporated
Publication date: 9/11/2006
Binding: Hardcover
Pages: 1008
Size: 8.75" wide x 11.00" long x 1.50" tall
Weight: 4.818
Language: English

This invaluable book is renowned for its fully worked examples and numerous applications. Concepts are presented either graphically, analytically, or numerically (sometimes using more than one approach) depending on which seems the most appropriate to make the material clear and easy to understand. Technology is also fully integrated into problem sets and examples, providing a real-world perspective. And the authors encourage readers to begin the problem solving process by estimating the solution and checking their work by examining their answers for "reasonableness".

Review of Numerical Computation
The Real Numbers
Addition and Subtraction
Powers and Roots
Combined Operations
Scientific Notation and Engineering Notation
Units of Measurement
Chapter 1 Review Problems
Introduction to Algebra
Algebraic Expressions
Adding and Subtracting Polynomials
Laws of Exponents
Product of Two Monomials
Product of a Multinomial and a Monomial
Product of Two Binomials
Product of Two Multinomials
Powers of Multinomials
Removing Symbols of Grouping
Quotient of Two Monomials
Dividing a Polynomial by a Monomial
Quotient of Two Polynomials
Chapter 2 Review Problems
Simple Equations and Word Problems
Solving First-Degree Equations
Solving Word Problems
Uniform Motion
Work, Fluid Flow, and Energy Flow
Chapter 3 Review Problems
Functions and Graphs
Graphing a Function
Graphing a Function by Calculator
Solving Equations Graphically
More on Functions
Chapter 4 Review Problems
Straight Lines and Angles
The Circle
Volumes and Areas of Solids
Chapter 5 Review Problems
Right Triangles and Vectors
The Trigonometric Functions
Solution of Right Triangles
Applications of the Right Triangle
Introduction to Vectors
Applications of Vectors
Chapter 6 Review Problems
Oblique Triangles and Vectors
Trigonometric Functions of Any Angle
Finding the Angle When the Trigonometric Function Is Known
Law of Sines
Law of Cosines
Resultants of Nonperpendicular Vectors
Chapter 7 Review Problems
Systems of Linear Equations
Systems of Two Linear Equations
Other Systems of Equations
Systems of Three Linear Equations
Chapter 8 Review Problems
Matrices and Determinants
Introduction to Matrices
Solving Systems of Equations by the Unit Matrix Method
Second-Order Determinants
Higher-Order Determinants
Chapter 9 Review Problems
Factoring and Fractions
Common Factors
Difference of Two Squares
Factoring Trinomials
Other Factorable Expressions
Simplification of Fractions
Multiplication and Division of Fractions
Addition and Subtraction of Fractions
Complex Fractions
Fractional Equations
Literal Equations and Formulas
Chapter 10 Review Problems
Quadratic Equations
Solving a Quadratic Equation by Calculator
Solving a Quadratic by Formula
Chapter 11 Review Problems
Exponents and Radicals
Integral Exponents
Simplification of Radicals
Operations with Radicals
Radical Equations
Chapter 12 Review Problems
Radian Measure, Arc Length, and Rotation
Radian Measure
Arc Length
Uniform Circular Motion
Chapter 13 Review Problems
Trigonometric, Parametric, and Polar Graphs
Graphing the Sine Wave by Calculator
Manual Graphing of the Sine Wave
The Sine Wave as a Function of Time
Graphs of the Other Trigonometric Functions
Graphing Parametric Equations
Graphing in Polar Coordinates
Chapter 14 Review Problems
Trigonometric Identities and Equations
Fundamental Identities
Sum or Difference of Two Angles
Functions of Double Angles and Half-Angles
Evaluating Trigonometric Expressions
Solving Trigonometric Equations
Chapter 15 Review Problems
Ratio, Proportion, and Variation
Ratio and Proportion
Similar Figures
Direct Variation
The Power Function
Inverse Variation
Functions of More Than One Variable
Chapter 16 Review Problems
Exponential and Logarithmic Functions
The Exponential Function
Properties of Logarithms
Exponential Equations
Solving Logarithmic Equations
Chapter 17 Review Problems
Complex Numbers
Complex Numbers in Rectangular Form
Complex Numbers in Polar Form
Complex Numbers on the Calculator
Vector Operations Using Complex Numbers
Alternating Current Applications
Chapter 18 Review Problems
Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic and Harmonic Progressions
Geometric Progressions
Infinite Geometric Progressions
The Binomial Theorem
Chapter 19 Review Problems
Analytic Geometry
The Straight Line
Equation of a Straight Line
The Circle
The Parabola
The Ellipse
The Hyperbola
Chapter 20 Review Problems
Derivatives of Algebraic Functions
Rate of Change and the Tangent
The Derivative
Rules for Derivatives
Derivative of a Function Raised to a Power
Derivatives of Products and Quotients
Other Variables, Implicit Relations, and Differentials
Higher-Order Derivatives
Chapter 21 Review Problems
Graphical Applications of the Derivative
Equations of Tangents and Normals
Maximum, Minimum, and Inflection Points
Sketching, Verifying, and Interpreting Graphs
Chapter 22 Review Problems
More Applications of the Derivative
Rate of Change
Motion of a Point
Related Rates
Chapter 23 Review Problems
The Indefinite Integral
Rules for Finding Integrals
Simple Differential Equations
The Definite Integral
Approximate Area under a Curve
Exact Area under a Curve
Chapter 24 Review Problems
Applications of the Integral
Applications to Motion
Applications to Eletric Circuits
Finding Areas by Integration
Volumes by Integration
Chapter 25 Review Problems
More Applications of the Integral
Length of Arc
Area of Surface of Revolution
Fluid Pressure
Moment of Inertia
Chapter 26 Review Problems
Trigonometric, Logarithmic, and Exponential Functions
Derivatives of the Sine and Cosine Functions
Derivatives of the Other Trigonometric Functions
Derivatives of the Inverse Trigonometric Functions
Derivatives of Logarithmic Functions
Derivatives of the Exponential Functions
Integrals of the Exponential and Logarithmic Functions
Integrals of the Trigonometric Functions
Average and Root Mean Square Values
Chapter 27 Review Problems
First-Order Differential Equations
Solving a DE by Calculator, Graphically, and Numerically
First-Order DE: Variables Separable
Exact First-Order DE
First-Order Homogeneous DE
First-Order Linear DE
Geometric Applications of First-Order DE
Exponential Growth and Decay
Series RL and RC Circuits
Chapter 28 Review Problems
Second-Order DE
Second-Order DE
Constant Coefficients and Right Side Zero
Right Side Not Zero
Mechanical Vibrations
RLC Circuits
Chapter 29 Review Problems
Summary of Facts and Formulas
Conversion Factors
Table of Integrals
Answers to Selected Problems
Index to Applications
Index to Writing Questions
Index to Projects
General Index

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