When less is more: visualizing basic inequalities Alsina, Claudi
Series: Dolciani Mathematical Expositions, No. 36Publication details: Washington, D.C. Mathematical Association of America 2009 Description: xix, 181 pISBN:- 9780883853429
- 510.11366
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Book | Ahmedabad | 510.11366 A5W4 (Browse shelf(Opens below)) | Available | 168373 |
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510.1 M8P4 Philosophy of mathematics and deductive structure in Euclid's elements | 510.1 O9 The oxford handbook of philosophy of mathematics and logic | 510.1 W6P2 Paradox and paraconsistency: conflict resolution in the abstract sciences | 510.11366 A5W4 When less is more: visualizing basic inequalities | 510.15 Z4C6 Combinatorial problems in mathematical competitions | 510.2433 G2C6-II A course in mathematical analysis - 3 Vols. | 510.2433 G2C6-III A course in mathematical analysis - 3 Vols. |
Inequalities permeate mathematics, from the Elements of Euclid to operations research and financial mathematics. Yet too often the emphasis is on things equal to one another rather than unequal. While equalities and identities are without doubt important, they don't possess the richness and variety that one finds with inequalities. The objective of this book is to illustrate how use of visualization can be a powerful tool for better understanding some basic mathematical inequalities. Drawing pictures is a well-known method for problem solving, and we would like to convince you that the same is true when working with inequalities. We show how to produce figures in a systematic way for the illustration of inequalities; and open new avenues to creative ways of thinking and teaching. In addition, a geometric argument can not only show two things unequal, but also help the observer see just how unequal they are. (Source: www.alibris.com)
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