3: Proofs Without Words Iii: Further Exercises In Visual Thinking (classroom Resource Materials)
by Roger B. Nelsen /
2016 / English / PDF
8.4 MB Download
Proofs without words (PWWs) are figures or diagrams that help the
reader see why a particular mathematical statement is true, and
how one might begin to formally prove it true. PWWs are not new,
many date back to classical Greece, ancient China, and medieval
Europe and the Middle East. PWWs have been regular features of
the MAA journals Mathematics Magazine and The College Mathematics
Journal for many years, and the MAA published the collections of
Proofs without words (PWWs) are figures or diagrams that help the
reader see why a particular mathematical statement is true, and
how one might begin to formally prove it true. PWWs are not new,
many date back to classical Greece, ancient China, and medieval
Europe and the Middle East. PWWs have been regular features of
the MAA journals Mathematics Magazine and The College Mathematics
Journal for many years, and the MAA published the collections ofPWWs Proofs Without Words: Exercises in Visual Thinking
PWWs Proofs Without Words: Exercises in Visual Thinking in
1993 and
in
1993 andProofs Without Words II: More Exercises in Visual
Thinking
Proofs Without Words II: More Exercises in Visual
Thinking in 2000. This book is the third such collection of
PWWs.
in 2000. This book is the third such collection of
PWWs.
The proofs in the book are divided by topic into five chapters:
Geometry and Algebra; Trigonometry, Calculus and Analytic
Geometry; Inequalities; Integers and Integer Sums; and Infinite
Series and Other Topics. The proofs in the book are intended
primarily for the enjoyment of the reader, however, teachers will
want to use them with students at many levels: high school
courses from algebra through precalculus and calculus; college
level courses in number theory, combinatorics, and discrete
mathematics; and pre-service and in-service courses for teachers.
The proofs in the book are divided by topic into five chapters:
Geometry and Algebra; Trigonometry, Calculus and Analytic
Geometry; Inequalities; Integers and Integer Sums; and Infinite
Series and Other Topics. The proofs in the book are intended
primarily for the enjoyment of the reader, however, teachers will
want to use them with students at many levels: high school
courses from algebra through precalculus and calculus; college
level courses in number theory, combinatorics, and discrete
mathematics; and pre-service and in-service courses for teachers.