Secrets in Inequalities, Vol. 1 – Basic InequalitiesAuthors: Pham Kim Hung
To truly understand inequalities and develop a foundation of knowledge to solve them well, you must unlock their secrets through a variety of problems and techniques. That is the aim of Secrets in Inequalities. Chapters 1 – 8 will give the reader exposure to AM-GM inequality, Cauchy-Schwarz and Hölder Inequalities, Chebyshev Inequality, Inequalities with Convex Functions, Abel Formula and Rearrangement Inequality, The Method of Balanced Coefficients, Derivative and Applications, and Symmetric Inequalities. Chapter 9 is dedicated to providing the problems necessary to practice the topics covered in the previous chapters. The reader is encouraged to study the applications of inequalities, build a strong knowledge base, and then try and solve the problems on their own to gain practice and increase understanding.
Product Details
- Paperback: 256 pages
- Publisher: GIL Publishing House (2007)
- Language: English
- ISBN-13: 978-9739417884
《不等式的秘密(第二卷):高级不等式》你可以看到五种方法,这些方法不仅能提升解决不等式的能力,而且还可以减少问题的复杂性并给出漂亮的证明,在此,你可以找到证明不等式的现代方法:整合变量法、平方分析法、反证法、归纳法和经典不等式的使用方法,正如你阅读过的《不等式的秘密》第一卷一样,这里有许多漂亮和困难的问题训练你使用这些方法的技能,我们希望,作者倾注在《不等式的秘密(第二卷):高级不等式》关于不等式方面的热情和汗水对你有用。