Mathematics For Engineering Students 1908

1908년에 출판된 학생용 교재입니다.  

기초적인 내용이 들어 있네요. 

전부 보진 않았는데, 초중고에서 배우는 내용이 대부분인 듯 합니다.

 

https://www.survivorlibrary.com/index.php/Engineering_General

2016-11-15

Mathematics For Engineering Students 1908

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## Table of Contents

 

### Chapter I: Algebra and Arithmetic
1. **Definitions and Symbols**  
   Pages 1-3
2. **Addition**  
   - Addition of Monomials: Page 4  
   - Addition of Polynomials: Page 5  
   - Addition of Negative Numbers: Page 7  
3. **Subtraction**  
   - Subtraction of Monomials: Page 5  
   - Subtraction of Polynomials: Page 6  
   - Subtraction of Negative Numbers: Page 7  
4. **Multiplication and Division**  
   - Multiplication: Page 9  
   - Division: Page 10  
5. **Exponents**  
   Page 10  
6. **Polynomial Operations**  
   - Multiplication of a Polynomial by a Monomial: Page 11  
   - Division of a Polynomial by a Monomial: Page 11  
   - Multiplication of a Polynomial by a Polynomial: Page 12  
   - Division of a Polynomial by a Polynomial: Page 12  

 

### Chapter II: Definitions and Types
1. **Definitions and Type Forms**  
   Pages 16-19
2. **Greatest Common Divisor**  
   Pages 20-24
3. **Least Common Multiple**  
   Pages 24-26
4. **Fractions**  
   Pages 27-29

 

### Chapter III: Equations
1. **General Concepts**  
   Pages 30-31  
2. **Literal Equations and Uses of Letters**  
   Page 31  
3. **Degree of an Equation**  
   Page 32  
4. **Solving Equations**  
   - Clearing of Fractions: Page 33  
   - Transposition: Page 34  
   - Solution of Linear Equation of One Unknown: Page 34  
   - Simultaneous Linear Equations: Page 35  
   - Elimination by Substitution: Page 37  
   - Elimination by Indeterminate Coefficients: Page 38  
   - More than Two Unknowns: Page 39  

 

### Chapter IV: Graphics
   Pages 47-53

 

### Chapter V: The Binomial Theorem
   - Involution and Evolution: Page 58  
   - Extraction of Roots: Page 59  
     - Square Root: Page 60  
     - Cube Root: Page 61  

 

### Chapter VI: Surds
1. **Introduction to Surds**  
   Pages 65-66
2. **Simplification and Operations**  
   - Simplification: Page 67  
   - Order of a Surd: Page 68  
   - Reduction of Mixed Surds: Page 69  
   - Addition and Subtraction: Page 69  
   - Multiplication and Division: Pages 69-70  
   - Comparison: Page 70  
   - Rationalizing Denominators: Page 71  
3. **Roots of Quadratic Surds**  
   - General Method: Page 74  
   - Another Method: Page 75  
4. **Imaginaries**  
   Pages 77-77  
   - Multiplication of Imaginaries: Page 77  

 

### Chapter VII: Indeterminate Equations
   Pages 80-87

 

### Chapter VIII: Quadratic Equations
1. **Basics of Quadratics**  
   - Single Unknown: Page 88  
   - Kinds of Quadratics: Page 88  
2. **Solving Quadratics**  
   - Roots of a Quadratic: Page 89  
   - Solution of Incomplete Quadratic: Page 89  
   - Solution of Complete Quadratic: Page 89  
   - Geometrical Illustration: Page 90  
   - Literal and Numerical Equations: Page 90  
   - Solution by Factoring: Page 91  
   - Solution by Substitution: Page 93  
   - Equations Involving Radicals: Page 93  
   - Equations of Higher Degree: Page 94  
   - Solution by Factoring: Page 95  
   - Character of Roots: Page 96  
3. **Maxima and Minima**  
   Page 102  
4. **Equations of Two or More Unknowns**  
   - Degree Higher than the First: Page 105  

 

### Chapter IX: Logarithms
1. **Introduction to Logarithms**  
   Page 114  
2. **Logarithms of Decimals**  
   Page 117  
3. **Cologarithms**  
   Page 119  
4. **Finding a Number from Its Logarithm**  
   Page 120  

 

### Chapter X: Inequalities
   Pages 125-127

 

### Chapter XI: Progressions
1. **Arithmetical Series**  
   Page 136  
2. **Arithmetical Mean**  
   Page 138  
3. **Geometrical Progression**  
   - Value of Any Term: Page 141  
   - Geometrical Mean: Page 142  
4. **Infinite Series**  
   Page 143  
5. **Harmonical Progression**  
   Page 145  

 

### Chapter XII: Interest and Annuities
1. **Interest Definitions**  
   Page 147  
2. **Simple Interest**  
   Page 147  
3. **Compound Interest**  
   Page 147  
4. **Annuities**  
   Page 148  

 

### Plane Trigonometry

 

#### Part I: Basic Trigonometry
1. **Relation between Angle and Line**  
   Page 155  
2. **Trigonometric Ratios**  
   Page 156  
3. **Functions**  
   - Functions of 45°: Page 161  
   - Functions of 60°: Page 162  
4. **Identities**  
   Page 168  
5. **Trigonometric Equations**  
   Page 169  

 

#### Part II: Solution of Triangles
1. **The Right Triangle**  
   Page 172  
2. **The Isosceles Triangle**  
   Page 174  
3. **Regular Polygons**  
   Page 175  
4. **Areas**  
   Page 177  

 

#### Part III: Further Relations
1. **Functions of Angles**  
   - Expressing Functions in Terms of First Quadrant Angles: Page 193  
   - Sum and Difference of Functions: Page 200  
   - Functions of Half an Angle: Page 209  
2. **Inverse Trigonometric Functions**  
   Page 213  

 

#### Part IV: Solution of Oblique Triangles
   Page 215  

 

#### Part V: Spherical Trigonometry
1. **Right Spherical Triangles**  
   Page 225  
2. **The Isosceles Triangle**  
   Page 230  
3. **The Oblique Triangle**  
   Page 231  

 

#### Part VI: Applications
1. **Area of a Spherical Triangle**  
   Page 244