- 620 pages
- English
- PDF
- Available on iOS & Android
Introduction to Algebra and Trigonometry
About This Book
Introduction to Algebra and Trigonometry provides a complete and self-contained presentation of the fundamentals of algebra and trigonometry. This book describes an axiomatic development of the foundations of algebra, defining complex numbers that are used to find the roots of any quadratic equation. Advanced concepts involving complex numbers are also elaborated, including the roots of polynomials, functions and function notation, and computations with logarithms. This text also discusses trigonometry from a functional standpoint. The angles, triangles, and applications involving triangles are likewise treated. Other topics include analytic geometry, conic sections, and use of a coordinate system to prove theorems from plane, and matrix operations and inverses. This publication is valuable to students aiming to gain more knowledge of the fundamentals of mathematics.
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Table of contents
- Front Cover
- Introduction to Algebra and Trigonometry
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- ACKNOWLEDGMENTS
- TO THE STUDENT
- CHAPTER 1. THE FOUNDATIONS OF ALGEBRA
- CHAPTER 2. EQUATIONS AND INEQUALITIES
- CHAPTER 3. FUNCTION
- CHAPTER 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- CHAPTER 5. TRIGONOMETRY: THE CIRCULAR FUNCTIONS
- CHAPTER 6. ANGLES AND TRIANGLES
- CHAPTER 7. ANALYTIC TRIGONOMETRY
- CHAPTER 8. ANALYTIC GEOMETRY: THE CONIC SECTIONS
- CHAPTER 9. SYSTEMS OF EQUATIONS AND INEQUALITIES
- CHAPTER 10. MATRICES AND DETERMINANTS
- CHAPTER 11. ROOTS OF POLYNOMIALS
- CHAPTER 12. TOPICS IN ALGEBRA
- APPENDIX/TABLE
- ANSWERS TO ODD-NUMBERED EXERCISES, REVIEW EXERCISES, AND PROGRESS TESTS
- INDEX