ANALYTIC GEOMETRY HB

• Hardback book by Murray H. Protter and Charles B. Morrey, Jr.
• Copyright © 1966, Philippines copyright 1966 by Addison-Wesley Publishing Company

Contents include:

" Chapter 1. INEQUALITIES
1. The axioms of algebra
2. Inequalities
3. Proofs of the theorems in Section 2
4. Absolute value
5. Inequalities by factoring

Chapter 2. RELATIONS, FUNCTIONS, GRAPHS
1. The number plane. Loci
2. Functions. Functional notation
3. Relations. Intercepts. Symmetry
4. Intersections of loci

Chapter 3. THE LINE
1. The distance formula. The midpoint formula
2. The equations of certain loci
3. Slope of a line
4. Parallel and perpendicular lines
5. The straight line
6. Parametric equations of a line. Directed lines.
Point of division formula
7. Distance from a point to a line
8. Families of lines
9. Angle between two lines. Bisectors of angles
10. Geometric theorems
11. Linear inequalities in two unknowns
12. Systems of linear inequalities;
relation to linear programming

Chapter 4. VECTORS IN A PLANE
1. Directed line segments and vectors
2. Operations with vectors
3. Operations with vectors, continued

Chapter 5. THE CIRCLE
1. The equation of a circle.
2. Tangents. Families of circles

Chapter 6. THE CONICS
1. The parabola
2. Tangents. Geometrical properties of a parabola
3. The ellipse
4. Geometrical properties of an ellipse. Directrices. Tangents
5. The hyperbola
6. The hyperbola: directrices, tangents, asymptotes
7. Translation of axes
8. Rotation of axes. The general equation to the second degree

Chapter 7. GRAPHS OF ALGEBRAIC RELATIONS
1. Loci of algebraic relations
2. Nonlinear inequalities in the plane

Chapter 8. THE TRANSCENDENTAL FUNCTIONS
1. Graphs of trigonometric functions
2. Inverse relations and functions
3. The inverse trigonometric functions
4. Exponential and logarithmic curves

Chapter 9. PARAMETRIC EQUATIONS. POLAR COORDINATES
1. Parametric equations
2. Polar coordinates
3. Graphs in polar coordinates
4. Equations in Cartesian and polar coordinates
5. Straight lines, circles, and conics

Chapter 10. SOLID ANALYTIC GEOMETRY
1. The number space R3. Coordinates. The distance formula
2. Direction cosines and numbers
3. Equations of a line
4. The plane
5. Angles. Distance from a point to a line
6. The sphere. Cylinders
7. Quadric surfaces
8. Translation of axes
9. Other coordinate systems
10. Linear inequalities

Chapter 11. VECTORS IN THREE DIMENSIONS
1. Operations with vectors
2. Linear dependence and independence
3. The inner (scalar or dot) product
4. The vector or cross product
5. Products of three vectors

Appendices
1. The axioms of algebra
2. Natural numbers. Sequences. Extensions
3. Trigonometry review
4. Determinants
5. Proofs of Theorems 5, 11, and 12 of Chapter 11
Answers to odd-numbered problems
Index "

This book is in pretty good condition with moderate wear to the cover.
There is clear contact paper on the cover.
No torn or ripped pages
The side edges of the pages appear slightly dirty.
There are only a few pages with some writing or underlining.

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