Proofs Without Words: Exercises in Visual Thinking
MAA, 1993 - 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.
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2sin abcd American Mathematical Monthly ancient Angle appear April arctan Area Arithmetic Association of America Ayoub calisson Charles Classroom collection College Mathematics Journal continued David editors Equal Exercises Formulas Geometric Series Harmonic Howard Eves Identity Inequality Integers James June Kung length March Martin Gardner Mathematical Association Mathematics Before 1650 Mathematics Magazine Mean Mean Square Mean—Geometric Mean Moments in Mathematics n+2 n+2 n+2 Nelsen Odd Integers Problem proofs without words PWWs Pythagorean Theorem RBN Sums Richard Roger Scientific American semester calculus Sept Sequence sides Sidney H Sine sino Sums of Consecutive Sums of Cubes Sums of Integers Sums of Odd Sums of Squares Teachers Triangular Numbers visual Visual Thinking Volume Wakin Warren Washington
Proofs that Really Count: The Art of Combinatorial Proof
Arthur T. Benjamin,Jennifer J. Quinn
Aucun aperçu disponible - 2003
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