When Less is More: Visualizing Basic Inequalities (Dolciani Mathematical Expositions)
The book will be valuable for secondary and collegiate teachers as a source of inspiration for preparing lessons. It is also recommended for self study to students having adquate knowledge of geometry and a sufficiently rigorous mind. --Zentralblatt fur MathematikThe Dolciani Mathematical Expositions series has once again provided an excellent text in the publication When Less is More: Visualizing Basic Inequalities. Alsina and Nelsen offer readers visual arguments for many historical inequalities, allowing a deeper understanding of those inequalities. Perhaps even more significant than the deeper meaning of these particular inequalities is the fact that the authors present a methodology for producing such visual arguments. Each of the nine chapters features a different approach and concludes with "challenge" problems (with solutions) to support the understanding of the chapter's method. The text is highly recommended for instructors as a course supplement and could prove an excellent undergraduate text for a course in inequalities. --Matthew J. Haines (Minneapolis, MN) Mathematical Reviews