Mendeley出力
＜図書＞
Euclidean and transformational geometry : a deductive inquiry
| 責任表示 | Shlomo Libeskind |
|---|---|
| データ種別 | 図書 |
| 出版情報 | Sudbury, Massachusetts : Jones and Bartlett Publishers , c2008 |
| 本文言語 | 英語 |
| 大きさ | ix, 371 p. : ill. (some col.) ; 29 cm |
| 概要 | 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 So...ving 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. 続きを見る |
| 目次 | The treasure island problem The nine-point circle Morley's theorem The hiker's path The shortest highway Steiner's minimum distance problem The Pythagorean theorem Congruence, constructions, and the parallel postulate Angles and their measurement Congruence of triangles The parallel postulate and its consequences More on construction Circles Basic properties of arcs, central and inscribed angles Circles inscribed in polygons More on constructions Area and the pythagorean theorem Areas of polygons The Pythagorean theorem The distance formula Similarity Ratio, proportion and similar polygons Further applications of the side splitting theorem and similarity Areas of similar figures The golden ratio and the construction of a regular pentagon Circumference and area of a circle Other recursive formulas for evaluating [pi] Trigonometric functions Isometries Reflections, translations, and rotations Congruence and Euclidean constructions More on extremal problems Similarity transformation with applications to constructions Composition of transformations and transformation groups In search for new isometries Composition of rotations, the treasure island problem and other treasures More recent discoveries The nine-point circle and other results Complex numbers and geometry.続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | LIBE/20/1 | 2008 |
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023212008000107 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 365) and index |
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| 著者標目 | Libeskind, Shlomo |
| 書誌ID | 1001236692 |
| ISBN | 9780763743666 |
| NCID | BA85565747 |
| 巻冊次 | ISBN:9780763743666 ; XISBN:0763743666 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |