Elementary Geometry for College Students
10.690 kr.

Námskeið
- SNU015G Rúmfræði
Lýsing:
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.
Annað
- Höfundar: Daniel C. Alexander, Geralyn M. Koeberlein
- Útgáfa:7
- Útgáfudagur: 01/2019
- Hægt að prenta út 2 bls.
- Hægt að afrita 2 bls.
- Format:Page Fidelity
- ISBN 13: 9780357028155
- Print ISBN: 9781337614085
- ISBN 10: 0357028155
Efnisyfirlit
- Title Page
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Foreword
- Index of Applications
- Chapter P: Preliminary Concepts
- P.1 Sets and Geometry
- P.2 Statements and Reasoning
- P.3 Informal Geometry and Measurement
- PERSPECTIVE ON HISTORY: Our Greek Heritage
- PERSPECTIVE ON APPLICATIONS: One-to-One Correspondence
- Summary
- Review Exercises
- Chapter P Test
- Chapter 1: Line and Angle Relationships
- 1.1 Early Definitions and Postulates
- 1.2 Angles and Their Relationships
- 1.3 Introduction to Geometric Proof
- 1.4 Relationships: Perpendicular Lines
- 1.5 The Formal Proof of a Theorem
- PERSPECTIVE ON HISTORY: The Development of Geometry
- PERSPECTIVE ON APPLICATIONS: Patterns
- Summary
- Review Exercises
- Chapter 1 Test
- Chapter 2: Parallel Lines
- 2.1 The Parallel Postulate and Special Angles
- 2.2 Indirect Proof
- 2.3 Proving Lines Parallel
- 2.4 The Angles of a Triangle
- 2.5 Convex Polygons
- 2.6 Symmetry and Transformations
- PERSPECTIVE ON HISTORY: Sketch of Euclid
- PERSPECTIVE ON APPLICATIONS: Non-Euclidean Geometries
- Summary
- Review Exercises
- Chapter 2 Test
- Chapter 3: Triangles
- 3.1 Congruent Triangles
- 3.2 Corresponding Parts of Congruent Triangles
- 3.3 Isosceles Triangles
- 3.4 Basic Constructions Justified
- 3.5 Inequalities in a Triangle
- PERSPECTIVE ON HISTORY: Sketch of Archimedes
- PERSPECTIVE ON APPLICATIONS: The Geodesic Dome
- Summary
- Review Exercises
- Chapter 3 Test
- Chapter 4: Quadrilaterals
- 4.1 Properties of a Parallelogram
- 4.2 The Parallelogram and Kite
- 4.3 The Rectangle, Square, and Rhombus
- 4.4 The Trapezoid
- PERSPECTIVE ON HISTORY: Sketch of Thales
- PERSPECTIVE ON APPLICATIONS: Square Number as Sums
- Summary
- Review Exercises
- Chapter 4 Test
- Chapter 5: Similar Triangles
- 5.1 Ratios, Rates, and Proportions
- 5.2 Similar Polygons
- 5.3 Proving Triangles Similar
- 5.4 The Pythagorean Theorem
- 5.5 Special Right Triangles
- 5.6 Segments Divided Proportionally
- PERSPECTIVE ON HISTORY: Ceva•fs Proof
- PERSPECTIVE ON APPLICATIONS: Generating Pythagorean Triples
- Summary
- Review Exercises
- Chapter 5 Test
- Chapter 6: Circles
- 6.1 Circles and Related Segments and Angles
- 6.2 More Angle Measures in the Circle
- 6.3 L ine and Segment Relationships in the Circle
- 6.4 Some Constructions and Inequalities for the Circle
- PERSPECTIVE ON HISTORY: Circumference of the Earth
- PERSPECTIVE ON APPLICATIONS: Sum of Interior Angles of a Polygon
- Summary
- Review Exercises
- Chapter 6 Test
- Chapter 7: Locus and Concurrence
- 7.1 Locus of Points
- 7.2 Concurrence of Lines
- 7.3 More About Regular Polygons
- PERSPECTIVE ON HISTORY: The Value of p
- PERSPECTIVE ON APPLICATIONS: The Nine-Point Circle
- Summary
- Review Exercises
- Chapter 7 Test
- Chapter 8: Areas of Polygons and Circles
- 8.1 Area and Initial Postulates
- 8.2 Perimeter and Area of Polygons
- 8.3 Regular Polygons and Area
- 8.4 Circumference and Area of a Circle
- 8.5 More Area Relationships in the Circle
- PERSPECTIVE ON HISTORY: Sketch of Pythagoras
- PERSPECTIVE ON APPLICATIONS: Another Look at the Pythagorean Theorem
- Summary
- Review Exercises
- Chapter 8 Test
- Chapter 9: Surfaces and Solids
- 9.1 Prisms, Area, and Volume
- 9.2 Pyramids, Area, and Volume
- 9.3 Cylinders and Cones
- 9.4 Polyhedrons and Spheres
- PERSPECTIVE ON HISTORY: Sketch of Rene Descartes
- PERSPECTIVE ON APPLICATIONS: Birds in Flight
- Summary
- Review Exercises
- Chapter 9 Test
- Chapter 10: Analytic Geometry
- 10.1 The Rectangular Coordinate System
- 10.2 Graphs of Linear Equations and Slope
- 10.3 Preparing to Do Analytic Proofs
- 10.4 Analytic Proofs
- 10.5 Equations of Lines
- 10.6 The Three-Dimensional Coordinate System
- PERSPECTIVE ON HISTORY: The Banach-Tarski Paradox
- PERSPECTIVE ON APPLICATIONS: The Point-of-Division Formulas
- Summary
- Review Exercises
- Chapter 10 Test
- Chapter 11: Introduction to Trigonometry
- 11.1 The Sine Ratio and Applications
- 11.2 The Cosine Ratio and Applications
- 11.3 The Tangent Ratio and Other Ratios
- 11.4 Applications with Acute Triangles
- PERSPECTIVE ON HISTORY: Sketch of Plato
- PERSPECTIVE ON APPLICATIONS: Radian Measure of Angles
- Summary
- Review Exercises
- Chapter 11 Test
- APPENDIX A: Algebra Review
- APPENDIX B: Summary of Constructions, Postulates, Theorems, Lemmas, and Corollaries
- Selected Exercises and Proofs
- Glossary
- Index
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- Gerð : 208
- Höfundur : 8197
- Útgáfuár : 2019
- Leyfi : 379
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