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...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Alsina, Claudi
Байгууллагын зохиогч: ebrary, Inc
Бусад зохиолчид: Nelsen, Roger B.
Формат: Цахим Цахим ном
Хэл сонгох:англи
Хэвлэсэн: [Washington, D.C.] : Mathematical Association of America, c2009.
Цуврал:Dolciani mathematical expositions ; no. 36
Нөхцлүүд:
Онлайн хандалт:An electronic book accessible through the World Wide Web; click to view
Шошгууд: Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
Агуулга:
  • 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.