# Proofs Without Words: Exercises in Visual Thinking, Volume 1

Mathematical Association of America, 1993 - Mathematics - 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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### References from web pages

Proofs Without Words and Words Without Proofs
Dr. Roger Nelsen. Professor of Mathematics. Lewis & Clark College. ANNUAL BULLITT LECTURE. 2007. Visualization in Mathematics:. Proofs Without Words and ...
www.math.louisville.edu/ Bullitt/ Bullitt2007.pdf

JSTOR: Heron's Formula via Proofs without Words
Heron's Formula via Proofs without Words. Roger B. Nelsen. The College Mathematics Journal, Vol. 32, No. 4, 290-292. Sep., 2001. ...

Euler’s Triangle Inequality via Proofs Without Words
1. Euler’s Triangle Inequality via Proofs Without Words. ROGER B. NELSEN. Lewis & Clark College. Portland, OR 97219. nelsen@lclark.edu ...
www.lclark.edu/ ~mathsci/ euler.pdf

Interactive Mathematics Miscellany and Puzzles
PROOFS WITHOUT WORDS:. EXERCISES IN VISUAL THINKING. ROGER B. NELSEN. Introduction. see (se) v., saw, seen, seeing. -vt. 5. to perceive (things) mentally; ...
www.cut-the-knot.org/ books/ pww/ intro.shtml

Proofs without Words -- Mudd Math Fun Facts
No subject limitations Search only in selected subjects Algebra Calculus or Analysis Combinatorics Geometry Number Theory Probability Topology ...
www.math.hmc.edu/ funfacts/ ffiles/ 10001.1-4-8.shtml

Roger B. Nelsen, Proofs without Words, MAA, 0-88385-700-6, 1993
G. S. T. x€yrv' ƒ‚„`b…†Vp‡‰ˆ Xa… 3. s. 476. s. 4@9¥9¥9A47B. s. CFE. ‘“’ bthpbv4@3rsu”. G. T. U8V'c •–V†`b—¥—˜yd™e…†fpx¥—¥—˜yrf%xpgihjyrf%f `bv€k)…...
zakuski.utsa.edu/ ~gokhman/ ftp/ / courses/ notes/ sum.pdf

ingentaconnect Euler's Triangle Inequality via Proofs Without Words
Euler's Triangle Inequality via Proofs Without Words. Author: Nelsen, Roger B. Source: Mathematics Magazine, Volume 81, Number 1, February 2008 , pp. ...
www.ingentaconnect.com/ content/ maa/ mm/ 2008/ 00000081/ 00000001/ art00008;jsessionid=g0abkeobm7ght.alexandra?format=print

Proof without Words -- from Wolfram mathworld
Nelsen, rb Proofs Without Words: Exercises in Visual Thinking. Washington, DC: Math. Assoc. Amer., 1997. Nelsen, rb "Proof Without Words: Sums of Integers ...
mathworld.wolfram.com/ ProofwithoutWords.html

ISMAA 2006 Abstracts
Friday, April 7. th. ISMAA Abstracts. ISMAA 2006 Abstracts. (Note: Student Abstracts are on a separate handout). Friday, April 7. 12:45-1:45p.m. ...
ismaa.knox.edu/ ismaa2006abstracts.pdf

Geometric Series Part 3
Geometric Series Proofs: An Annotated Bibliography. We have seen a geometric proof and a classic algebraic proof for the sum of the geometric series, ...
www41.homepage.villanova.edu/ robert.styer/ Bouncingball/ geometric_series_3.htm