When less is more visualizing basic inequalities /

The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs...

תיאור מלא

שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Alsina, Claudi
מחבר תאגידי: ebrary, Inc
מחברים אחרים: Nelsen, Roger B.
פורמט: אלקטרוני ספר אלקטרוני
שפה:אנגלית
יצא לאור: [Washington, D.C.] : Mathematical Association of America, c2009.
סדרה:Dolciani mathematical expositions ; no. 36
נושאים:
גישה מקוונת:An electronic book accessible through the World Wide Web; click to view
תגים: הוספת תג
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
תוכן הענינים:
  • Representing positive numbers as lengths of segments
  • Representing positive numbers as areas or volumes
  • Inequalities and the existence of triangles
  • Using incircles and circumcircles
  • Using reflections
  • Using rotations
  • Employing non-isometric transformations
  • Employing graphs of functions
  • Additional topics.