Schaum's Outline of Basic Mathematics with Applications to Science and Technology, 2ed

Name: Schaum's Outline of Basic Mathematics with Applications to Science and Technology, 2ed
Brand: McGraw Hill LLC
Price: 84.99 EUR
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Haym Kruglak John T. Moore Ramon A. Mata-Toledo(Author)

McGraw Hill LLC (Publisher)

1st Edition

Published on 10. June 2009

504 pages

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978-1-259-58888-4 (ISBN)

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Cover Page
SCHAUM'S OUTLINE OF Theory and Problems of Basic Mathematics with Applications to Science and Technology
Copyright Page
Contents
Chapter 1 Decimal Fractions
1.1 The Decimal System.
1.2 Decimal Fractions.
1.3 Position Diagram for Decimals.
1.4 Importance of Decimal Fractions.
1.5 Reading Numbers with Decimal Fractions.
1.6 Writing Numbers with Decimal Fractions.
1.7 The Basic Laws of Arithmetic.
1.8 Addition of Decimals.
1.9 Subtraction of Decimals.
1.10 Multiplication of Decimals.
1.11 Division of Decimals.
1.12 Rounding Off Decimals.
Chapter 2 Measurement and Scientific Notation
2.1 Basic Concepts.
2.2 Experimental Errors or Uncertainties.
2.3 Accuracy.
2.4 Precision.
2.5 Significant Figures-Definition.
2.6 Reading Significant Figures.
2.7 Operations with Significant Figures.
2.8 Definition-Scientific Notation.
2.9 Advantages of Scientific Notation.
2.10 Conversion to and from Scientific Notation.
2.11 Operations with Scientific Notation.
2.12 Approximate Computations with Scientific Notation.
2.13 Order of Magnitude.
2.14 Conversion of Units.
2.15 The International System of Units.
2.16 Prefixes and Decimal Multipliers.
Chapter 3 Common Fractions
3.1 Fractions and Measurement.
3.2 Terms.
3.3 Reading and Writing Fractions.
3.4 Basic Principle.
3.5 Reduction to Lowest Terms.
3.6 Comparison of Fractions.
3.7 Addition of Fractions.
3.8 Subtraction of Fractions.
3.9 Multiplication of Fractions.
3.10 Division of Fractions.
3.11 Reciprocals.
3.12 Conversion of Common Fractions into Decimal Fractions.
Chapter 4 Percentage
4.1 Terms.
4.2 Percent and Fractions.
4.3 Percent of a Quantity.
4.4 Percent from Percentage.
4.5 Quantity from Percentage and Percent.
4.6 Percent Error or Uncertainty.
4.7 Percent of Difference.
4.8 Uncertainties in Scale Readings.
Chapter 5 Essentials of Algebra
5.1 Terminology.
5.2 The Number Line.
5.3 Absolute Value.
5.4 Operations with Signed Numbers.
5.5 Operations with Monomials.
5.6 Use of Grouping Symbols.
5.7 Operations with Polynomials.
5.8 Simple Products.
5.9 Factoring.
5.10 Cancellation.
5.11 Operations with Algebraic Fractions.
5.12 Equations-Definitions.
5.13 Solutions of Linear Equations.
Chapter 6 Ratio and Proportion
6.1 Ratio-Basic Concepts.
6.2 Proportion-Basic Concepts.
6.3 Direct Proportion.
6.4 Inverse Proportion.
Chapter 7 Linear Equations
7.1 Function.
7.2 Variables.
7.3 Linear Function.
7.4 Functional Representation.
7.5 Slope.
7.6 Negative Slope.
7.7 Direct Proportion.
7.8 Applications.
7.9 Linear Equation.
7.10 Representation.
7.11 Negative Slope.
7.12 Zero Slope.
7.13 Applications.
7.14 Intercepts of a Line.
7.15 Empirical Equations.
7.16 Good Graphing Practices.
7.17 Graphing the Special Linear Function
7.18 Graphing the General Linear Function
7.19 Graphing Linear functions with a Calculator.
Chapter 8 Exponents and Radicals
8.1 Exponential Form.
8.2 Positive Integral Exponent.
8.3 Reading Exponential Notation.
8.4 Zero Exponent.
8.5 Negative Integral Exponent.
8.6 Roots.
8.7 Principal nth Root.
8.8 Radical, Radicand, and Index.
8.9 Fractional Exponents.
8.10 Power Function.
8.11 Variation.
8.12 Direct Variation.
8.13 Inverse Variation.
8.14 Graphs of Power Functions.
8.15 Graphing Power Functions with a Calculator.
8.16 Determining Empirical Equations of Power Functions.
8.17 Joint Variation.
8.18 Formulas.
Chapter 9 Logarithms
9.1 Numbers as Powers.
9.2 Definition of a Logarithm.
9.3 Common Logarithms.
9.4 Negative Logarithms.
9.5 Parts of a Logarithm.
9.6 Logarithmic Tables.
9.7 Antilogarithms.
9.8 The First Law of Logarithms.
9.9 The Second Law of Logarithms.
9.10 The Third Law of Logarithms.
9.11 Conversion to a Different Base.
9.12 Exponential Functions.
9.13 Exponential Equations.
9.14 Logarithmic Functions.
9.15 Logarithmic Equations.
9.16 Growth and Decay.
9.17 Logarithmic Graph Paper.
9.18 Semilogarithmic Paper.
Chapter 10 Quadratic Equations and Square Roots
10.1 Quadratic Equation.
10.2 Solution.
10.3 Pure Quadratic Equations.
10.4 Quadratic Equations by Factoring.
10.5 The Quadratic Formula.
10.6 Using a Graphing Calculator to Solve Quadratic Equations.
10.7 Irrational Solutions.
10.8 Table of Square Roots.
10.9 Iterative Method.
10.10 Traditional Method.
10.11 Logarithmic Method.
10.12 Finding Square Roots with a Calculator.
Chapter 11 Essentials of Plane Geometry
11.1 Terms.
11.2 Lines.
11.3 Symbols.
11.4 Selected Geometrical Facts.
11.5 Angle-Types.
11.6 Theorems on Equal Angles.
11.7 Theorems on Supplementary Angles.
11.8 The Degree Measure.
11.9 Angle Operations with a Calculator.
11.10 An Abbreviated Method to Carry Out Arithmetic Operations with Angles Using a Calculator.
11.11 Parts of a Triangle.
11.12 Types of Triangles.
11.13 Congruence of Triangles.
11.14 Similarity of Triangles.
11.15 Other Theorems on Triangles.
11.16 The Pythagorean Theorem.
11.17 Quadrilaterals-Terms.
11.18 Theorems on Parallelograms.
11.19 Circles and Arcs-Terms.
11.20 Theorems on Circles and Arcs.
11.21 Bisecting a Line Segment.
11.22 Bisecting an Angle.
11.23 Erecting a Perpendicular to a Given Line from a Given Point Not on the Line.
11.24 Erecting a Perpendicular to a Line at a Given Point on the Line.
11.25 Drawing a Parallel to a Given Line
11.26 Dividing a Given Line Segment into a Given Number of Equal Parts.
11.27 Finding the Center of a Circle from a Given Arc.
11.28 Perimeters.
11.29 Areas.
Chapter 12 Solid Figures
12.1 Polyhedrons.
12.2 Cylinders.
12.3 Cones.
12.4 Spheres.
12.5 Similar Solids.
12.6 Area of a Prism.
12.7 Area of a Pyramid.
12.8 Area of a Cylinder.
12.9 Area of a Cone.
12.10 Area of a Sphere.
12.11 Areas of Similar Solids.
12.12 Volume of a Prism.
12.13 Volume of a Pyramid.
12.14 Volume of a Cylinder.
12.15 Volume of a Cone.
12.16 Volume of a Sphere.
12.17 Volumes of Similar Solids.
Chapter 13 Trigonometric Functions
13.1 Trigonometry.
13.2 Ratios in Similar Triangles.
13.3 Definitions from Triangle Ratios.
13.4 Definitions from Coordinates.
13.5 Trigonometric Tables.
13.6 Trigonometric Functions of Special Angles.
13.7 Calculating Trigonometric Functions with a Calculator.
13.8 Cofunctions.
13.9 Signs of Trigonometric Functions.
13.10 Trigonometric Identities.
Chapter 14 Solution of Triangles
14.1 Right Triangles-One Known Side and One Known Acute Angle.
14.2 Right Triangles-Two Known Sides.
14.3 The Law of Sines.
14.4 The Law of Cosines.
Chapter 15 Vectors
15.1 Terms.
15.2 Vector Representation.
15.3 Equality of Vectors.
15.4 Vector Addition-Graphical or Geometrical Method.
15.5 Vector Addition-Analytical Method.
15.6 The Negative of a Vector.
15.7 Subtraction of Vectors.
15.8 Vector Resolution or Decomposition.
15.9 Relationships Between a Vector and Its Components.
15.10 The Components of Vector Sums.
10.11 Vector Sum from Components.
Chapter 16 Radian Measure
16.1 Definition.
16.2 Basic Equation.
16.3 Relationship Between the Radian and Degree Measures.
16.4 Evaluating Trigonometric Functions of an Angle Using a Calculator.
16.5 Angular Speed.
16.6 Angular Velocity.
16.7 Angular and Linear Speeds.
16.8 Trigonometric Functions of Small Angles.
16.9 Applications.
16.10 Periodicity.
16.11 Graphs of
16.12 Graph of
16.13 Graphs of Other Trigonometric Functions.
Chapter 17 Conic Sections
17.1 The Ellipse-Basic Concepts.
12.2 How to Draw an Ellipse.
17.3 How to Determine a Tangent to an Ellipse.
17.4 The Circle.
17.5 The Parabola-Basic Concepts.
17.6 Focusing Property of a Parabola.
17.7 The Hyperbola-Basic Concepts.
Chapter 18 Numbering Systems
18.1 The Binary, Octal, and Hexadecimal Systems.
18.2 Numerical Values in a Positional Systems and Their Decimal Equivalents.
18.3 Conversion of Decimal Number to Other Bases.
18.4 Conversion Between Hexadecimal and Binary Numbers.
18.5 Rules for Forming Numbers in Any System.
Chapter 19 Arithmetic Operations in A Computer
19.1 Review of Basic Concepts of Arithmetic.
19.2 Addition and Subtraction of Binary Numbers.
19.3 Addition and Subtraction of Hexadecimal Numbers.
19.4 Representing Nonnegative Integers in a Computer.
19.5 Computer Addition.
19.6 Representing Negative Integer Numbers in a Computer.
19.7 The Sign-Magnitude.
19.8 One's Complement.
19.9 Two's Complement.
19.10 Multiplication and Division of Binary Numbers.
Chapter 20 Counting Methods
20.1 Fundamental Counting Principle.
20.2 Factorial of a Number.
20.3 Permutations.
20.4 Arrangements with Duplicate Elements.
20.5 Circular Permutations.
20.6 Combinations
Chapter 21 Probability and Odds
21.1 Probability and Sample Spaces.
21.2 Probability of Success and Failure.
21.3 Odds.
21.4 Probability of Independent and Dependent Events.
21.5 Probability of Exclusive Events.
21.6 Probability of Inclusive Events.
21.7 Conditional Probability.
Chapter 22 Statistics
22.1 Descriptive Versus Inferential Statistics.
22.2 Population and Samples. Parameters and Statistics.
22.3 Quantitative and Qualitative Data.
22.4 Frequency Distributions and Graphical Representation of the Data.
22.5 Bar Charts.
22.6 Pie Charts.
22.7 Frequency Distribution of Large Data Sets.
22.8 Determining the Class Width.
22.9 Class Relative Frequency.
22.10 Cumulative Frequency.
22.11 Histograms.
22.12 Measurements of Central Tendency.
22.13 Average or Arithmetic Mean.
22.14 Weighted Mean.
22.15 Median.
22.16 Mode.
22.17 Measures of Dispersion.
22.18 Sample Range.
22.19 Variance
22.20 Standard Deviation.
22.21 Random Variable.
22.22 Normal Distribution.
22.23 Empirical Rule.
22.24 Converting Values into Standard Units.
22.25 Finding Areas Under the Normal Curve.
Appendix
Mathematical Symbols.
Metric Unit Prefixes.
Mathematical Constants. Greek Alphabet.
Squares and Square Roots.
Common Logarithms.
Natural Trigonometric Functions.
Units and Conversion Factors.
Miscellaneous Useful Constants.
Formula Summary.
Binomial Theorem.
Physical Constants.
Astronomical Constants.
Areas under the Standard Normal Curve from 0 to z.
Hewlett-Packard Graphing Calculator 386.
Texas Instrument Graphing Calculator TI-82.
Index

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Schaum's Outline of Basic Mathematics with Applications to Science and Technology, 2ed

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