Summary: 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 how to solve 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 col
lection 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 for use at instructor's discretion.
Summary: 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 how to solve 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 for use at instructor's discretion. ...show less
1. The Treasure Island Problem 2. The Nine-Point Circle 3. Morley's Theorem 4. The Hiker's Path 5. The Shortest Highway 6. Steiner's Minimum Distance Problem 7. The Pythagorean Theorem
1. Congruence, Constructions, and the Parallel Postulate
1-1 Angles and Their Measurement 1-2 Congruences of Triangles 1-3 The Parallel Postulate and Its Consequences 1-4 More on Construction
2-1 Basic Properties of Arcs, Central and Inscribed Angles 2-2 Circles Inscribed in Polygons 2-3 More on Constructions
3. Area and the Pythagorean Theorem
3-1 Areas of Polygons 3-2 The Pythagorean Theorem 3-3 The Distance Formula
4-1 Ratio, Proportion and Similar Polygons 4-2 Further Applications of the Side Splitting Theorem and Similarity 4-3 Areas of Similar Figures 4-4 The Golden Ratio and the Construction of a Regular Pentagon 4-5 Circumference and Area of a Circle 4-6 Other Recursive Formulas for Evaluating p 4-7 Trigonometric Functions
5-1 Reflections, Translations, and Rotations 5-2 Congruence and Euclidean Constructions 5-3 More on Extremal Problems 5-4 Similarity Transformation with Applications to Constructions
6. Composition of Transformations and Transformation Groups
6-1 In Search for New Isometries 6-2 Composition of Rotations, The Treasure Island Problems and Other Treasures
7. More Recent Discoveries
7-1 The Nine-Point Circle and Other Results 7-2 Complex Numbers and Geometry
2007 Hard cover Fair. Sewn binding. Cloth over boards. 371 p. Contains: Illustrations, color, Figures.
$140.64 +$3.99 s/h
GreatBookPrices Montgomery, IL
Used, Acceptable Condition, may show signs of wear and previous use. Please allow 4-14 business days for delivery. 100% Money Back Guarantee, Over 1,000,000 customers served.
$145.61 +$3.99 s/h
BookHolders MD College Park, MD
first Fair [ No Hassle 30 Day Returns ][ Underlining/Highlighting: SOME ] [ Edition: first ] [ Water Damage: SLIGHT doesn't affect use ] Publisher: Jones & Bartlett Publishers Pub Date: 11/1/2007 Bi...show morending: Hardcover Pages: 371. ...show less
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