Proofs Without Words: Exercises in Visual Thinking
American Mathematical Soc., 18 févr. 2020 - 152 pages
Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: Geometry and algebra; Trigonometry, calculus and analytic geometry; Inequalities; Integer sums; and Sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.
Avis des internautes - Rédiger un commentaire
Aucun commentaire n'a été trouvé aux emplacements habituels.
Autres éditions - Tout afficher
American appear arctan Area Arithmetic Mean-Geometric Mean Association of America Calissons Charles collection College Mathematics Journal cos0 Double Angle Equal Formulas Gardner Geometric Series Howard Eves I I I I I I I O I Identity Infinite James June Kung Law of Cosines Line March Mathematical Association Mathematics Before 1650 Mathematics Magazine Mean-Geometric Mean Inequality Moments in Mathematics n+2 n+2 n+2 Powers Problem proofs without words Property PWWs Pythagorean Theorem Pythagorean Triples REFERENCES Richard semester calculus Sept Sequence Sidney H Sine Sums of Consecutive Sums of Cubes Sums of Integers Sums of Squares Sums of Triangular Sums ofOblong Numbers Sums ofOdd Integers tan0 Teachers Trapezoid Triangle Triangular Numbers visual Visual Thinking Washington Ф Ф Ф Э СЭ