Topics in geometric inequalities

著者

• Andreescu, Titu
• Mushkarov, Oleg

書誌事項

Topics in geometric inequalities

Titu Andreescu, Oleg Mushkarov

XYZ Press, c2019

注記

Includes bibliographical references (p. [419]-424) and index

内容説明・目次

内容説明

As a sequel to 113 Geometric Inequalities from the AwesomeMath Summer Program, this book extends the themes discussed in the former book and broadens a problem-solver's competitive arsenal. Strategies from multiple fields, such as Algebra, Calculus, and pure Geometry provide the reader with varied methods useful in mathematics competitions. Starting with the fundamentals such as the triangle inequality and ""broken lines'', the book progresses increasingly to more sophisticated machinery such as the Averaging Method, Quadratic Forms, Finite Fourier Transforms, Level Curves, the Erdoes-Mordell and Brunn-Minkowski Inequalities, as well as the Isoperimetric Theorem, to name a few. Rich theory and generalizations accompany the aforementioned topics to supply the reader with a rigorous exploration of fields associated with geometric inequalities.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB28288835
• ISBN:
  • 9780999342831
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: San Jose, TX
• ページ数/冊数: viii, 428 p.
• 大きさ: 22 cm
• 分類:
  • DC23 : 516.35
• 件名:
  • LCSH : Geometry, Algebraic
  • LCSH : Inequalities (Mathematics)