Analytic inequalities 分析不等式
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内容提要：
Appropriate for undergraduates and even high school students, this text introduces a pair of ancient theorems, explores inequalities and calculus, and covers modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. 1961 edition. Includes 28 figures.
目录：
Preface
I. Fundamentals 1. The algebra of inequalities 2. Conditional inequalities II. Two Ancient Theorems 3. Geometric and arithmetic means 4. An application 5. The Isoperimetric Theorem III. Inequalities and Calculus 6. The number e 7. Examples from the calculus 8. Approximation by polynomials IV. Three Modern Theorems 9. Power means 10. The Cauchy, Bunyakovskit,HSlder, and Minkowski Inequalities Miscellaneous problems |