Euclidean and Transformational Geometry: A Deductive InquiryJones & Bartlett Learning, 12.02.2008 - 371 Seiten Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on solving challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text and suggested hints for the more challenging problems appear in the instructor's solutions manual and can be used at the instructor's discretion. |
Inhalt
Prologue | 1 |
Congruence Constructions and the Parallel Postulate | 9 |
Circles | 75 |
Area and the Pythagorean Theorem | 115 |
Similarity | 155 |
Isometries and Size Transformations | 237 |
Composition of Transformations | 283 |
More Recent Discoveries | 317 |
Basic Notions | 343 |
Selected Hints and Answers | 355 |
References | 365 |
367 | |
Andere Ausgaben - Alle anzeigen
Euclidean and Transformational Geometry: A Deductive Inquiry Shlomo Libeskind Eingeschränkte Leseprobe - 2008 |
Euclidean and Transformational Geometry: A Deductive Inquiry Shlomo Libeskind Eingeschränkte Leseprobe - 2008 |
Euclidean and Transformational Geometry: A Deductive Inquiry Shlomo Libeskind Keine Leseprobe verfügbar - 2008 |
Häufige Begriffe und Wortgruppen
AABC ABCD altitudes angle bisector Axiom bisect chord circle with center circumscribing collinear complex numbers composition construct convex coordinate Corollary diagonals diameter distance endpoints equal Equation equidistant equilateral triangle Euclidean geometry Example exterior angle Exterior Angle Theorem following theorem formula geometry given gles glide reflection golden ratio half plane hence hypotenuse implies Inscribed Angle interior isometry isosceles triangle Justify your answer kite line parallel lines intersect mathematician mathematics measure medians midpoint midsegment Nine-Point Circle Notice opposite sides pair Parallel Postulate parallelogram path pedal triangle perimeter perpendicular bisector polygons Problem Set proof properties Pythagorean Theorem quadrilateral radius ratio real number rectangle rhombus right angle right triangle rotation shown in Figure side AC solution Solve square symmetry tangent transformation translation trapezoid triangle ABC triangles are congruent vector vertex vertices x-axis