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College Algebra written in a relaxed and conversational style,
addresses the need for a complete and mathematically sound presentation of algebra at the
college level. It is appropriate for a core curriculum college algebra course, and also contains
all the material necessary to prepare students for more advanced classes such as calculus and
statistics. Many examples drawn from a variety of fields are featured, and each chapter begins
with an overview placing the mathematical concepts that follow in their cultural and historical
context. Throughout the text, commonly made errors are clearly identified. The first two chapters
provide a quick but thorough review of algebra fundamentals, including a self-contained
presentation of complex numbers. This is followed by the extension of algebra to the Cartesian
plane; an especially thorough exposition of relations and functions; a detailed study of polynomial,
rational, logarithmic, and exponential functions; conic sections and their applications; systems of
equations and inequalities; and an introduction to sequences, series, combinatorics, and probability.
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| Chapter 1: |
| | Number Systems and Fundamental Concepts of Algebra |
| Chapter 2: |
| | Equations and Inequalities of One Variable |
| Chapter 3: |
| | Linear Equations and Inequalities of Two Variables |
| Chapter 4: |
| | Relations, Functions, and their Graphs |
| Chapter 5: |
| | Polynomial Functions |
| Chapter 6: |
| | Rational Functions and Conic Sections |
| Chapter 7: |
| | Exponential and Logarithmic Functions |
| Chapter 8: |
| | Systems of Equations |
| Chapter 9: |
| | An Introduction to Sequences, Series, Combinatorics, and Probability |
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