Elementary functions and analytic geometry /

Elementary Functions and Analytic Geometry.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Flanders, Harley, Price, Justin J. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, [1973]
Temas:
Functions.
Geometry, Analytic.
Fonctions (Math�ematiques)
G�eom�etrie analytique.
functions (mathematics)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Functions
Geometry, Analytic
Analytische Geometrie
Elementare Funktion
Funktion > Mathematik
Calculus > Functions of real variables: Functions of one real variable
Analytic geometry
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Elementary Functions and Analytic Geometry; 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; CHAPTER 2. LINEAR AND QUADRATIC FUNCTIONS; 1. LINEAR FUNCTIONS; 2. QUADRATIC FUNCTIONS; 3. SOME APPLICATIONS; 4. TIPS ON GRAPHING; 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 POLYNOMIALS
  • CHAPTER 4. RATIONAL FUNCTIONS1. BASIC PROPERTIES; 2. ALGEBRAIC OPERATIONS; 3. GRAPHS OF RATIONAL FUNCTIONS; 4. DIVISION WITH REMAINDER; 5. PARTIAL FRACTIONS; 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; CHAPTER 6. TRIGONOMETRIC FUNCTIONS; 1. INTRODUCTION; 2. DISTANCES AND ANGLES; 3. SINE AND COSINE; 4. OTHER TRIGONOMETRIC FUNCTIONS; 5. GRAPHS OF SINE AND COSINE; 6. GRAPHS OF THE OTHER FUNCTIONS
  • CHAPTER 7. IDENTITIES AND INVERSE FUNCTIONS1. IDENTITIES; 2. FURTHER IDENTITIES; 3. INVERSE FUNCTIONS; 4. TRIGONOMETRIC EQUATIONS; CHAPTER 8. TRIGONOMETRY; 1. RIGHT TRIANGLES; 2. LAWS OF COSINES AND SINES; 3. OBLIQUE TRIANGLES [Optional]; CHAPTER 9. VECTORS; 1. VECTOR ALGEBRA; 2. LINES; 3. LENGTH AND INNER PRODUCT; 4. NORMAL FORM; CHAPTER 10. ANALYTIC GEOMETRY; 1. TRANSLATION OF AXES; 2. THE CIRCLE; 3. TANGENTS AND LOCI; 5. CONICS; THE PARABOLA; 6. THE ELLIPSE; 7. THE HYPERBOLA; 8. ROTATION OF AXES [Optional]; 9. ADDITIONAL EXERCISES ON CONICS [Optional]; CHAPTER 11. SOLID ANALYTIC GEOMETRY
  • 1. COORDINATES AND VECTORS2. LINES AND PLANES; 3. LINEAR SYSTEMS AND INTERSECTIONS; 4. POLYNOMIALS IN SEVERAL VARIABLES; 5. QUADRIC SURFACES; 6. CYLINDERS AND CONES; CHAPTER 12. COMPLEX NUMBERS; 1. COMPLEX ARITHMETIC; 2. THE COMPLEX PLANE; 3. ZEROS OF POLYNOMIALS; 4. DE MOIVRE'S THEOREM AND ROOTS OF UNITY; CHAPTER 13. INDUCTION AND THE BINOMIAL THEOREM; 1. MATHEMATICAL INDUCTION; 2. BINOMIAL COEFFICIENTS; 3. BINOMIAL THEOREM; ANSWERS TO ODD-NUMBERED EXERCISES; TABLES; 1. 4-place logarithm; 2. 4-place antilogarithm; 3. Powers and roots; 4. Trigonometric (degrees); 5. Trigonometric (radians)

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