- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
This tried-and-true text from Allyn Washington preserves the author's highly regarded approach to technical math, while enhancing the integration of technology. Appropriate for a two- to three- semester course, BASIC TECHNICAL MATHEMATICS WITH CALCULUS shows how algebra, trigonometry, and basic calculus are used on the job. It addresses a vast number of technical and pre-engineering fields, including computer design, electronics, solar energy, lasers fiber optics, and the environment. Known for its exceptional problem sets and applied material, the book offers practice exercises, writing exercises, word problems, and practice tests. This edition features more technical applications, over 2300 new exercises, and additional graphing calculator screens.
Contents
Each chapter contains: Equations, Quick Chapter Review, Review Exercises, Practice Test
1. Basic Algebraic Operations
1.1 Numbers
1.2 Fundamental Operations of Algebra
1.3 Calculators and Approximate Numbers
1.4 Exponents
1.5 Scientific Notation
1.6 Roots and Radicals
1.7 Addition and Subtraction of Algebraic Expressions
1.8 Multiplication of Algebraic Expressions
1.9 Division of Algebraic Expressions
1.10 Solving Equations
1.11 Formulas and Literal Equations
1.12 Applied Word Problems
2. Geometry
2.1 Lines and Angles
2.2 Triangles
2.3 Quadrilaterals
2.4 Circles
2.5 Measurement of Irregular Areas
2.6 Solid Geometric Figures
3. Functions and Graphs
3.1 Introduction to Functions
3.2 More about Functions
3.3 Rectangular Coordinates
3.4 The Graph of a Function
3.5 Graphs on the Graphing Calculator
3.6 Graphs of Functions Defined by Tables of Data
4. The Trigonometric Functions
4.1 Angles
4.2 Defining the Trigonometric Functions
4.3 Values of the Trigonometric Functions
4.4 The Right Triangle
4.5 Applications of Right Triangles
5. Systems of Linear Equations; Determinants
5.1 Linear Equations
5.2 Graphs of Linear Functions
5.3 Solving Systems of Two Linear Equations in Two Unknowns Graphically
5.4 Solving Systems of Two Linear Equations in Two Unknowns Algebraically
5.5 Solving Systems of Two Linear Equations in Two Unknowns by Determinants
5.6 Solving Systems of Three Linear Equations in Three Unknowns Algebraically
5.7 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
6. Factoring and Fractions
6.1 Special Products
6.2 Factoring: Common Factor and Difference of Squares
6.3 Factoring Trinomials
6.4 The Sum and Difference of Cubes
6.5 Equivalent Fractions
6.6 Multiplication and Division of Fractions
6.7 Addition and Subtraction of Fractions
6.8 Equations Involving Fractions
7. Quadratic Equations
7.1 Quadratic Equations; Solution by Factoring
7.2 Completing the Square
7.3 The Quadratic Formula
7.4 The Graph of the Quadratic Function
8. Trigonometric Functions of Any Angle
8.1 Signs of the Trigonometric Functions
8.2 Trigonometric Functions of Any Angle
8.3 Radians
8.4 Applications of Radian Measure
9. Vectors and Oblique Triangles
9.1 Introduction to Vectors
9.2 Components of Vectors
9.3 Vector Addition by Components
9.4 Applications of Vectors
9.5 Oblique Triangles, the Law of Sines
9.6 The Law of Cosines
10. Graphs of the Trigonometric Functions
10.1 Graphs of y = a sin x and y = a cos x
10.2 Graphs of y = a sin bx and y = a cos bx
10.3 Graphs of y = a sin (bx + c ) and y = a cos (bx + c )
10.4 Graphs of y = tan x,y = cot x, y = sec x, y = csc x
10.5 Applications of the Trigonometric Graphs
10.6 Composite Trignometric Curves
11. Exponents and Radicals
11.1 Simplifying Expressions with Integral Exponents
11.2 Fractional Exponents
11.3 Simplest Radical Form
11.3 Addition and Subtraction of Radicals
11.5 Multiplication and Division of Radicals
12. Complex Numbers
12.1 Basic Definitions
12.2 Basic Operations with Complex Numbers
12.3 Graphical Representation of Complex Numbers
12.4 Polar Form of a Complex Number
12.5 Exponential Form of a Complex Number
