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College algebra and trigonometry /
College Algebra and Trigonometry.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
�1986.
|
| Edición: | 2d edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; College Algebra and Trigonometry; Copyright Page; Dedication; Table of Contents; PREFACE; ACKNOWLEDGMENTS; TO THE STUDENT; CHAPTER 1. THE FOUNDATIONS OFALGEBRA; 1.1 THE REAL NUMBERSYSTEM; 1.2 THE REAL NUMBER LINE; 1.3 ALGEBRAIC EXPRESSIONS; POLYNOMIALS; 1.4FACTORING; 1.5 RATIONAL EXPRESSIONS; 1.6 INTEGER EXPONENTS; 1.7 RATIONAL EXPONENTSAND RADICALS; 1.8 COMPLEX NUMBERS; CHAPTER 2. EQUATIONS ANDINEQUALITIES; 2.1 LINEAR EQUATIONSIN ONE UNKNOWN; 2.2 APPLICATIONS; 2.3 LINEAR INEQUALITIES; 2.4 ABSOLUTE VALUE IN EQUATIONS ANDINEQUALITIES; 2.5 THE QUADRATIC EQUATION.
- 2.6 APPLICATIONS OFQUADRATIC EQUATIONS2.7 SECOND-DEGREE INEQUALITIES; CHAPTER 3. FUNCTIONS; 3.1 THE RECTANGULAR COORDINATESYSTEM; 3.2 FUNCTIONS AND FUNCTION NOTATION; 3.3 GRAPHS OF FUNCTIONS; 3.4 LINEAR FUNCTIONS; 3.5 DIRECT AND INVERSE VARIATION(Optional); 3.6 COMBINING FUNCTIONS; INVERSEFUNCTIONS; CHAPTER 4. EXPONENTIAL ANDLOGARITHMIC FUNCTIONS; 4.1 EXPONENTIALFUNCTIONS; 4.2 LOGARITHMIC FUNCTIONS; 4.3 FUNDAMENTAL PROPERTIES OF LOGARITHMS; 4.4 COMPUTING WITH LOGARITHMS (Optional); 4.5 EXPONENTIAL AND LOGARITHMIC EQUATIONS; CHAPTER 5. THE TRIGONOMETRICFUNCTIONS; 5.0 REVIEW OFGEOMETRY.
- 5.1 angles and their measurement5.2 the sine, cosine, and tangent functions; 5.3 values of sine, cosine, andtangent; 5.4 graphs of sine, cosine, and tangent; 5.5 secant, cosecant, andcotangent; 5.6 the inverse trigonometric functions; chapter 6. trigonometry: measuringtriangles; 6.1 right triangletrigonometry; 6.2 applications of right triangletrigonometry; 6.3 law of cosines; 6.4 law of sines; chapter 7. analytic trigonometry; 7.1 trigonometric identities; 7.2 the additionformulas; 7.3 double- and half-angle formulas; 7.4 the product-sumformulas; 7.5 trigonometric equations.
- 7.6 TRIGONOMETRY ANDCOMPLEX NUMBERSCHAPTER 8. ANALYTIC GEOMETRY: THE CONICSECTIONS; 8.1 ANALYTIC GEOMETRY; 8.2 THE CIRCLE; 8.3 THE PARABOLA; 8.4 THE ELLIPSE ANDHYPERBOLA; 8.5 IDENTIFYING THECONIC SECTIONS; CHAPTER 9. SYSTEMS OF EQUATIONSAND INEQUALITIES; 9.1 SYSTEMS OFEQUATIONS; 9.2 SOLVING BYELIMINATION; 9.3 APPLICATIONS; 9.4 SYSTEMS OF LINEAR EQUATIONS IN THREEUNKNOWNS; 9.5 SYSTEMS OF LINEARINEQUALITIES; 9.6 LINEAR PROGRAMMING (Optional); CHAPTER 10. MATRICES ANDDETERMINANTS; 10.1 MATRICES AND LINEARSYSTEMS; 10.2 MATRIX OPERATIONS AND APPLICATIONS(Optional).
- 10.3 INVERSES OFMATRICES (Optional)10.4 DETERMINANTS ANDCRAMER'S RULE; CHAPTER 11. THEORY OFPOLYNOMIALS; 11.1 POLYNOMIAL DIVISION AND SYNTHETICDIVISION; 11.2 THE REMAINDER AND FACTORTHEOREMS; 11.3 FACTORS AND ZEROS; 11.4 REAL AND RATIONALZEROS; 11.5 RATIONAL FUNCTIONS ANDTHEIR GRAPHS; CHAPTER 12. TOPICS IN ALGEBRA; 12.1 SEQUENCES ANDSIGMA NOTATION; 12.2 ARITHMETICSEQUENCES; 12.3 GEOMETRICSEQUENCES; 12.4 MATHEMATICALINDUCTION; 12.5 THE BINOMIALTHEOREM; 12.6 COUNTING: PERMUTATIONS ANDCOMBINATIONS; 12.7 PROBABILITY; TABLES APPENDIX.