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เนื้อหาย่อ : Note to the Instructor You can create a variety of courses from this book, depending on the time available and the needs and backgrounds of your students. The book is self-contained and can be used for a systematic and thorough study of algebra from the beginning, but with well-pre- pared students, you could treat much of the early material as re- view in order to concentrate on later chapters. The flowchart below shows that chapters 6-12 are largely independent of the first chap- ters and of one another, which allows you considerable flexibility in designing the later parts of the course. 1. Basic Algebra 2. Linear and Quadratic Equations 3. Inequalities and Further Equations 4. Functions and Graphs 1 5. Functions and Graphs 2 6. Exponential Functions and Related Topics 7. Logarithms 8. Trigonometry of Triangles 9. Trigonometric Functions 10. Complex Numbers 11. Conic Sections 12. Linear Systems *Sections 10.1 and 10.2 require only chapter 2, but sections 10.3, 10.4, and 10.5 require chapters 8 and 9. In organizing this book, my guiding principle has been to intro- duce each topic when it would be most natural and useful. Thus, while the material is quite standard for today's algebra-trigonom- etry texts, there are some deviations from current fashion in the sequencing of the topics. For example, rational exponents are not included in chapter 1 because they are not needed until chapter 6. More significant is the inclusion of arithmetic and geometric pro- gressions in the chapter on exponential functions. These progres-