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Serge Lang, Gene Murrow
(Beteiligte)
Geometry
2nd ed. 1988. Corr. 6th printing. 2010. xii, 394 S. Illustr. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2010
ISBN: 1-441-93084-1 (1441930841)
Neue ISBN: 978-1-441-93084-2 (9781441930842)
Preis und Lieferzeit: Bitte klicken
At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises. This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. The book also teaches the student fundamental concepts and the difference between important reults and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course. There are many examples and exercises.
Introduction. 1: Distance and Algebra. 2: Coordinates. 3: Area and the Pythagoras Theorem. 4: The Distance Formula. 5: Some Applications of Right Triangles. 6: Polygons. 7: Congruent Triangles. 8: Dilations and Similarities. 9: Volumes. 10: Vectors and Dot Product. 11: Transformations. 12: Isometries. Index.