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Introductory college mathematics : with linear algebra and finite mathematics /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
[1973]
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Introductory College Mathematics: With Linear Algebra and Finite Mathematics; Copyright Page; Dedication; Table of Contents; PREFACE; CHAPTER 1. FUNCTIONS AND GRAPHS; 1. INTRODUCTION; 2. REAL NUMBERS; 3. COORDINATES ON THE LINE AND PLANE; 4. FUNCTIONS; 5. CONSTRUCTION OF FUNCTIONS; TEST; CHAPTER 2. LINEAR AND QUADRATIC FUNCTIONS; 1. LINEAR FUNCTIONS; 2. QUADRATIC FUNCTIONS; 3. SOME APPLICATIONS; 4. TIPS ON GRAPHING; TEST; CHAPTER 3. POLYNOMIAL FUNCTIONS; 1. ALGEBRA OF POLYNOMIALS; 2. GRAPHS OF POLYNOMIALS; 3. ZEROS AND ROOTS; 4. ZEROS OF HIGHER DEGREE POLYNOMIALS.
- 5. GRAPHS OF FACTORED POLYNOMIALSTEST; CHAPTER 4. RATIONAL FUNCTIONS; 1. BASIC PROPERTIES; 2. ALGEBRAIC OPERATIONS; 3. GRAPHS OF RATIONAL FUNCTIONS; 4. DIVISION WITH REMAINDER; 5. PARTIAL FRACTIONS; TEST; CHAPTER 5. EXPONENTIAL AND LOGARITHM FUNCTIONS; 1. REVIEW OF EXPONENTS; 2. EXPONENTIAL FUNCTIONS; 3. LOGARITHM FUNCTIONS; 4. ACCURACY AND TABLES [Optional]; 5. LOG TABLES [Optional]; 6. COMPUTATIONS WITH LOGARITHMS [Optional]; 7. POWER FUNCTIONS; TEST; CHAPTER 6. TRIGONOMETRIC FUNCTIONS; 1. INTRODUCTION; 2. DISTANCES AND ANGLES; 3. SINE AND COSINE; 4. OTHER TRIGONOMETRIC FUNCTIONS.
- 5. GRAPHS OF SINE AND COSINE6. GRAPHS OF THE OTHER FUNCTIONS; TEST; CHAPTER 7. IDENTITIES AND INVERSE FUNCTIONS; 1. IDENTITIES; 2. FURTHER IDENTITIES; 3. INVERSE FUNCTIONS; 4. TRIGONOMETRIC EQUATIONS; TEST; CHAPTER 8. TRIGONOMETRY; 1. RIGHT TRIANGLES; 2. LAWS OF COSINES AND SINES; 3. OBLIQUE TRIANGLES [Optional]; TEST; CHAPTER 9. VECTORS; 1. VECTOR ALGEBRA; 2. LINES; 3. LENGTH AND INNER PRODUCT; 4. NORMAL FORM; TEST; CHAPTER 10. ANALYTIC GEOMETRY; 1. TRANSLATION OF AXES; 2. THE CIRCLE; 3. TANGENTS AND LOCI; 4. POLAR COORDINATES; 5. CONICS; THE PARABOLA; 6. THE ELLIPSE; 7. THE HYPERBOLA.
- 8. ROTATION OF AXES [Optional]9. ADDITIONAL EXERCISES ON CONICS [Optional]; TEST; CHAPTER 11. VECTORS AND MATRICES; 1. COLUMN VECTORS AND INNER PRODUCTS; 2. MATRICES; 3. 3 x 3 MATRICES; 4. DETERMINANTS; 5. LINEAR SYSTEMS; 6. INVERSES AND CRAMER'S RULE; TEST; CHAPTER 12. GEOMETRY OF SPACE; 1. LINES AND PLANES; 2. THE CROSS PRODUCT; 3. LINEAR INDEPENDENCE; 4. SOME APPLICATIONS; 5. POLYNOMIALS IN SEVERAL VARIABLES; 6. QUADRIC SURFACES; 7. CYLINDERS AND CONES; TEST; CHAPTER 13. LINEAR TRANSFORMATIONS; 1. BASIC PROPERTIES; 2. EXAMPLES IN THE PLANE; 3. ROTATIONS AND REFLECTIONS.
- 4. EXAMPLES IN SPACETEST; CHAPTER 14. COMPLEX NUMBERS; 1. COMPLEX ARITHMETIC; 2. THE COMPLEX PLANE; 3. ZEROS OF POLYNOMIALS; 4. DE MOIVRE'S THEOREM AND ROOTS OF UNITY; 5. COMPLEX MATRICES [Optional]; TEST; CHAPTER 15. FINITE MATHEMATICS; 1. SEQUENCES; 2. EVALUATION OF SUMS; 3. COUNTING; 4. PERMUTATIONS AND COMBINATIONS; 5. BINOMIAL THEOREM; 6. MATHEMATICAL INDUCTION; TEST; ANSWERS TO ODD-NUMBERED EXERCISES; TABLES; INDEX.