The Math Lover’s Book series presents important branches of mathematics, including complex numbers, group theory, computation, fractals, calculus, probability and statistics. It also contains short biographies of 80 fascinating mathematicians throughout history.

Table of Contents

Part IV: Real Analysis

Real-Valued Functions

1.Polynomials

2.Rational Functions

3.Trigonometric Functions

4.Inverse Trigonometric Functions

5.Exponential and Logarithmic Functions

6.Other Functions

Calculus 1 (Differential Calculus)

1.Differentiation

2.Differentiation Rules

3.Second and Higher-Order Derivatives

4.Critical Points

Calculus 2 (Integral Calculus)

1.Integration

2.The Fundamental Theorem of Calculus

3.Integration Rules

Calculus 3 (Applications)

1.Velocity and Acceleration

2.The Law of Falling Bodies

3.Compound Interest

4.Debt and Mortgages

5.Population Growth

6.Radioactive Decay

7.Infinite Series Representations of Functions

Part V: Probability and Statistics

Probability

1.Events

2.Definition of Probability

3.Bayes’ Theorem

4.Expected Value

5.Variance and Standard Deviation

6.Games of Chance

7.Probability Distributions

Statistics

1.Center of Data

2.Spread of Data

3.Normal Distribution

4.Sampling

5.Confidence Intervals

6.Hypothesis Testing

7.Linear Regression

Biographies of Mathematicians

Dimensions (in inches)

8x10x1.34"

Weight

2 lb. 3 oz