| Abstract (in Chinese) | 第1-6页 |
| Abstract (in English) | 第6-8页 |
| Table of Contents | 第8-10页 |
| 1 Introduction | 第10-20页 |
| ·Bernoulli and Euler Polynomials | 第10-14页 |
| ·Generalizations of Bernoulli Polynomials | 第14-16页 |
| ·Power Sums and Faulhaber's Theorem | 第16-20页 |
| 2 Symmetric Identities on Bernoulli Polynomials | 第20-32页 |
| ·Bernoulli Polynomials Identities | 第20-24页 |
| ·Symmetric Identities | 第24-27页 |
| ·Other Generalizations of the Symmetric Identities | 第27-32页 |
| 3 Inverse Relations and Products of Bernoulli Polynomials | 第32-42页 |
| ·Sum of Products of Bernoulli Polynomials | 第32-36页 |
| ·Inverse Relations and Bernoulli Polynomials | 第36-42页 |
| 4 Faulhaber's Theorem on Power Sums | 第42-56页 |
| ·Classical Faulhaber's Theorem | 第42-45页 |
| ·An Alternating Formula for Power Sums | 第45-48页 |
| ·r-Fold Sums of Powers | 第48-51页 |
| ·r-Fold Alternating Sums of Powers | 第51-56页 |
| 5 On Power Sums of Binomial Polynomials | 第56-68页 |
| ·On Observations | 第56-59页 |
| ·Multiple Transformation Identity | 第59-65页 |
| ·Schmidt's Problem | 第65-68页 |
| Bibliography | 第68-74页 |
| Acknowledgement | 第74-76页 |
| Resume | 第76-77页 |
