Algebra and Trigonometry
Author: Jay Abramson
Binding: Paperback
Paper Quality: Black White Paper
Category: Mathematics / Algebra & Trigonometry / Pre-Calculus
Recommended For: High school, intermediate, and undergraduate students preparing for college-level math, entry-level engineering, or science programs.
Key Points
1. Fundamental Algebraic Concepts
The book begins with essential algebraic principles, including operations with real numbers, algebraic expressions, and the properties of exponents and radicals.
2. Equations and Inequalities
It covers methods for solving different types of equations and inequalities, such as linear, quadratic, and absolute value equations, providing a solid basis for further study.
3. Functions and Graphs
Students learn about different types of functions, their properties, and how to graph them. This includes linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
4. Polynomial and Rational Functions
The text delves into polynomial and rational functions, teaching students how to analyze and graph these functions, including understanding asymptotes and end behavior.
5. Exponential and Logarithmic Functions
Exponential growth and decay, the natural logarithm, and applications of exponential and logarithmic functions are explored in detail.
6. Trigonometric Functions
Key trigonometric functions are introduced, including sine, cosine, and tangent, along with their applications and properties.
7. Analytic Trigonometry
This section covers more advanced trigonometric topics, such as identities, inverse trigonometric functions, and solving trigonometric equations.
8. Applications of Trigonometry
Practical applications of trigonometry are highlighted, showing how trigonometric principles can be applied in real-world scenarios and various fields.
9. Systems of Equations and Inequalities
The book explains methods for solving systems of linear and nonlinear equations and inequalities, including graphical, substitution, and elimination methods.
10. Sequences, Series, and Probability
An introduction to sequences, series, and the basics of probability provides students with an understanding of these advanced topics and their applications.
Conclusion
Jay Abramson’s Algebra and Trigonometry serves as a thorough and approachable resource for students aiming to master the fundamentals and complexities of algebra and trigonometry. Through clear explanations, practical examples, and varied exercises, it prepares students for further mathematical study and practical application in various scientific and engineering fields.