Elementary Geometry from an Advanced Standpoint (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
512
Utgivningsdatum
1990-01-01
Upplaga
3
Förlag
Pearson
Illustrationer
Black & white illustrations
Dimensioner
247 x 171 x 25 mm
Vikt
793 g
Antal komponenter
1
Komponenter
PUNCH-OUT(S)
ISBN
9780201508673

Elementary Geometry from an Advanced Standpoint

Elem Geom Adv Standpoint 3E

av Edwin Moise
Häftad,  Engelska, 1990-01-01

Slutsåld

Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.
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Fler böcker av Edwin Moise

Innehållsförteckning



 1. The Algebra of the Real Numbers.


 2. Incidence Geometry in Planes and Space.


 3. Distance and Congruence.


 4. Separation in Planes and Space.


 5. Angular Measure.


 6. Congruences between Triangles.


 7. Geometric Inequalities.


 8. The Euclidean Program: Congruence without Distance.


 9. Three Geometries.


10. Absolute Plane Geometry.


11. The Parallel Postulate and Parallel Projection.


12. Similarities Between Triangles.


13. Polygonal Regions and Their Areas.


14. The Construction of an Area Function.


15. Perpendicular Lines and Planes in Space.


16. Circles and Spheres.


17. Cartesian Coordinate Systems.


18. Rigid Motion.


19. Constructions with Ruler and Compass.


20. From Eudoxus to Dedekind.


21. Length and Plane Area.


22. Jordan Measure in the Plane.


23. Solid Mensuration: The Elementary Theory.


24. Hyperbolic Geometry.


25. The Consistency of the Hyperbolic Postulates.


26. The Consistency of Euclidean Geometry.


27. The Postulation Method.


28. The Theory of Numbers.


29. The Theory of Equations.


30. Limits of Sequences.


31. Countable and Uncountable Sets.


32. An Ordered Field Which Is Euclidean But Not Archimedean.


Index.

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