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Mathematics
Made Simple
- 1st Edition - May 15, 2014
- Authors: Monroe Stuart, Abraham Sperling
- Language: English
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 4 1 9 7 - 8
Mathematics discusses the fundamentals of four common branches of Mathematics: Arithmetic, Algebra, Geometry, and Trigonometry. This book contains a number of special features,… Read more
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Request a sales quoteMathematics discusses the fundamentals of four common branches of Mathematics: Arithmetic, Algebra, Geometry, and Trigonometry. This book contains a number of special features, wherein the rest of the text is fully metricated in accordance with the recommended International System of Units (S.I.), which is the modern form of the metric system. The discussion of logarithms and trigonometry is very straightforward and involves none of the usual mystery associated with these topics. The last two chapters offer an entertaining initiation into the Theory of Probability, a subject of increasing importance and endless fascination. This text also includes tables, among which are the Decimal Equivalents of Sixty-Fourths; Measures, Money, Simple, and Compound Interest; Squares and Square Roots, Cubes and Cube Roots; and Common Logarithms, Sine, Tangent, Secant to 4-figures. The care in presentation and detail of discussion makes this book invaluable as basic groundwork for all mathematical study, possibly as a companion reader to one of the recognized courses such as GCSE or comparable examinations. This book is also readably enjoyable for anyone working independently, whether seeking to recapture forgotten knowledge or studying Mathematics for the first time.
Test No. 1
1 Whole Numbers
Addition of Whole Numbers
Test No. 2—Mental Addition
Speed Test
Column Addition
Acquiring Speed
Partial Totals
Horizontal Addition
Subtraction of Whole Numbers
Different Methods of Subtraction
Multiplication of Whole Numbers
Short Cuts
Division of Whole Numbers
Computing Averages
Checking Answers
Casting Out Nines
2 Common Fractions
Language of Fractions
A Fundamental Rule of Fractions
Reduction of Fractions
Greatest Common Divisor
Addition and Subtraction of Fractions
Lowest Common Denominators
Multiplication and Division of Fractions
Cancellation
Larger Numbers Involving Fractions
3 Decimal Fractions
Reading Decimal Fractions
Addition and Subtraction of Decimals
Multiplication of Decimals
Division of Decimals
Averages
Aliquot Parts
Percentage
The Three Types of Percentage Problems
4 Discount, Commissions, Interest, Profit, and Loss
Discount
Commission or Brokerage
Interest
Indirect Cases of Interest
Accurate Interest
Bank Discount
Compound Interest
True Discount
Rates
Water Rate
Profit and Loss
Profit and Loss Based on Cost
Profit and Loss Based on Selling Price
5 Denominate Numbers
Tables of Measurements
1. Length or Linear Measure
2. Square Measure
3. Cubic Measure
4. Measures of Mass
5. Measures of Time
6. Angular or Circular Measure
7. Money
Reductions Involving Compound Units
Reduction Descending
Reduction Ascending
The Four Fundamental Operations Applied to Denominate Numbers
Latitude, Longitude, and Time
Army-Navy Time
Exchange Rate
Surface Measurements
Cubic Measurement
The Metric System
Equivalent Values
6 Ratio and Proportion
Ratio
Proportion
Problems in Proportion
Cues in Solving Proportion Problems
7 Signed Numbers and Algebraic Expressions
Adding Signed Numbers
Subtracting Signed Numbers
Multiplication and Division of Signed Numbers
Algebraic Expressions
8 Algebraic Formula and Equations
Definitions
Using Parentheses
Translating Word Statements into Formula and Algebraic Expressions
Rule for Solving Equations
Transposition
Fundamental Operations
9 Factors and Roots
Method for Finding Square Roots
Finding the Square Root of Decimals
Use of Square Roots
10 Powers
Laws of Exponents
Method for Finding Cube Roots
Approximate Roots of Fractions
Higher Roots
Handy Algebraic Formula
Translating Numbers into Algebra
11 Algebraic Processes
Definitions
Factoring
Simultaneous Equations
Elimination by Addition or Subtraction
Elimination by Substitution
Elimination by Comparison
Fractions
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
12 Logarithms
Finding the Logarithm of a Number
How to Use Logarithms
Finding Roots
Errors in the Use of Logarithms
Checking by Simple Approximations
13 Sequences and Series
Sequences
Finding the nth Term
Series
Arithmetic Progressions
Formula for the nth term
Sum of n terms
Geometric Progressions
Formula for the nth term
Sum of n terms
14 Geometry
Definitions and Terms
Axioms
Symbols
Lines
Angles
Measuring Angles
Geometrical Constructions
Line and Angle Relationships
Adding Angles
Complements and Supplements
The Method of Demonstration in Geometry
Abbreviations
Parallel Lines
Triangles
Triangular Measurements
Facts about Right Triangles
Demonstrating the Congruence of Triangles
Facts about Triangles in General
Polygons
Surface Measurement of Quadrilaterals
Circles
Area of a Circle
Similar Plane Figures
Solid Geometry
Rectangular Solids
15 Trigonometry
Trigonometric Functions of an Angle
Description of the Tangent Function
Making a Table of Trigonometric Functions
Practical Observation of Angles
The Six Trigonometric Functions
Relations Between Functions of Complementary Angles
How to Use a Table of Trigonometric Functions
Functions of 45% 30°, and 60° Angles
Reciprocals Among the Functions
Interrelations Among the Functions
Making Practical Use of the Functions
The Oblique Triangle
Solving Oblique Triangles
Table of Natural Trigonometric Functions
16 Scales and Graphs
Scales
Graphs
Parts of a Graph
Reading the Graph
Types of Graphs
Mathematical Graphs
17 Combinations and Permutations
Preliminary Explanations
Permutations Formula
Combinations Formula
Inter-group Combinations
Summary
18 Theory of Probability
Preliminary Explanations
Basic Definitions
Relative Probabilities
Addition of Probabilities
Multiplication of Probabilities
Misconceptions and Superstitions
Mathematical Expectation
Applying Combinations Formula
'Continuous Probability'
Statistical Probability
Summary
Test No. 3
Answers
Index
- No. of pages: 286
- Language: English
- Edition: 1
- Published: May 15, 2014
- Imprint: Made Simple
- eBook ISBN: 9781483141978
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