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ANALYTIC
GEOMETRY
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.
FREE Shipping
Contiguous US 48 states ONLY.
:: Thank you ::
GEOMETRY
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.
FREE Shipping
Contiguous US 48 states ONLY.
:: Thank you ::
