Elementary Geometry for College Students 7e ~ CENGAGE 2020 ~ Koeberlein

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
Book Title
Elementary Geometry for College Students 7e
Narrative Type
Mathematics book
Educational Level
Adult & Further Education
Genre
Textbook
Intended Audience
College students
ISBN
9781337614085
Category

About this product

Product Identifiers

Publisher
Cengage Learning
ISBN-10
1337614084
ISBN-13
9781337614085
eBay Product ID (ePID)
17038463043

Product Key Features

Number of Pages
624 Pages
Language
English
Publication Name
Elementary Geometry for College Students
Subject
Geometry / General, General, Algebra / Elementary
Publication Year
2019
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
Geralyn M. Koeberlein, Daniel C. Alexander
Format
Hardcover

Dimensions

Item Height
11 in
Item Weight
54.4 Oz
Item Length
1.1 in
Item Width
8.7 in

Additional Product Features

Edition Number
7
Intended Audience
College Audience
LCCN
2018-949251
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
516
Table Of Content
P. Preliminary Concepts.Sets and Geometry. Statements and Reasoning. Informal Geometry and Measurement. PERSPECTIVE ON HISTORY: Our Greek Heritage. PERSPECTIVE ON APPLICATION: ONE-TO-ONE Correspondence. Summary Review Exercises Chapter Test.1. Line and Angle Relationships.Early Definitions and Postulates. Angles and Their Relationships. Introduction to Geometric Proof. Relationships: Perpendicular Lines. The Formal Proof of a Theorem. PERSPECTIVE ON HISTORY: The Development of Geometry. PERSPECTIVE ON APPLICATION: Patterns. Summary Review Exercises Chapter Test.2. Parallel Lines.The Parallel Postulate and Special Angles. Indirect Proof. Proving Lines Parallel. The Angles of a Triangle. Convex Polygons. Symmetry and Transformations. PERSPECTIVE ON HISTORY: Sketch of Euclid. PERSPECTIVE ON APPLICATION: Non-Euclidean Geometries. Summary Review Exercises Chapter Test.3. Triangles.Congruent Triangles. Corresponding Parts of Congruent Triangles. Isosceles Triangles. Basic Constructions Justified. Inequalities in a Triangle. PERSPECTIVE ON HISTORY: Sketch of Archimedes. PERSPECTIVE ON APPLICATION: Pascal's Triangle. Summary Review Exercises Chapter Test.4. Quadrilaterals.Properties of a Parallelogram. The Parallelogram and Kite. The Rectangle, Square, and Rhombus. The Trapezoid. PERSPECTIVE ON HISTORY: Sketch of Thales. PERSPECTIVE ON APPLICATION: Square Numbers as Sums. Summary Review Exercises Chapter Test.5. Similar Triangles.Ratios, Rates and Proportions. Similar Polygons. Proving Triangles Similar. The Pythagorean Theory. Special Right Triangles. Segments Divided Proportionally. PERSPECTIVE ON HISTORY: Ceva's Proof. PERSPECTIVE ON APPLICATION: An Unusual Application of Similar Triangles. Summary Review Exercises Chapter Test.6. Circles.Circles and Related Segments and Angles. More Angle Measures in the Circle. Line and Segment Relationships in the Circle. Some Construction and Inequalities in the Circle. PERSPECTIVE ON HISTORY: Circumference of the Earth. PERSPECTIVE ON APPLICATION: Sum of the Interior Angles of a Polygon. Summary Review Exercises Chapter Test. 7. Locus and Concurrence.Locus of Points. Concurrence of Lines. More About Regular Polygons. PERSPECTIVE ON HISTORY: The Value of p (Pi). PERSPECTIVE ON APPLICATION: The Nine-Point Circle. Summary Review Exercises Chapter Test.8. Areas of Polygons and Circles.Areas and Initial Postulates. Perimeter and Area of Polygons. Regular Polygons and Area. Circumference and Area of a Circle. More Area Relationships in the Circle. PERSPECTIVE ON HISTORY: Sketch of Pythagoras. PERSPECTIVE ON APPLICATION: Another Look at the Pythagorean Theorem. Summary Review Exercises Chapter Test. 9. Surfaces and Solids.Prisms, Area, and Volume. Pyramids, Area, and Volume. Cylinders and Cones. Polyhedrons and Spheres. PERSPECTIVE ON HISTORY: Sketch of René Descartes. PERSPECTIVE ON APPLICATION: Birds in Flight. Summary Review Exercises Chapter Test.10. Analytical Geometry.The Rectangular Coordinate System. Graphs of Linear Equations and Slope. Preparing to do Analytic Proofs. Analytic Proofs. Equations of Lines. A Three-Dimensional Coordinate System. PERSPECTIVE ON HISTORY: The Banach-Tarski Paradox. PERSPECTIVE ON APPLICATION: The Point-of-Division Formulas. Summary Review Exercises Chapter Test. 11. Introduction to Trigonometry.The Sine Ratio and Applications. The Cosine Ratio and Applications. The Tangent Ratio and Other Ratios. Applications with Acute Triangles. PERSPECTIVE ON HISTORY: Sketch of Plato. PERSPECTIVE ON APPLICATION: Radian Measure of Angles. Summary Review Exercises Chapter Test.Appendix A: Algebra Review.Appendix B: Summaries of Constructions, Postulates, Theorems, and CorollariesAnswers.Glossary.Index.
Edition Description
Revised edition
Synopsis
ELEMENTARY GEOMETRY FOR COLLEGE STUDENTS, 7th Edition, is designed to help students develop a comprehensive vocabulary of geometry, an intuitive and inductive approach to the development of principles, and strong deductive skills to solve geometry-based real-world applications. Over 150 new exercises provide additional practice in writing proofs. Available with access to WebAssign, an online study tool that helps students master the course concepts.
LC Classification Number
QA453

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