帝国数学PS-欣赏

牛津大学（默顿学院）、帝国理工学院、华威大学、伦敦大学学院和伦敦政治经济学院（商业数学与统计）大学申请所写。

你为什么想学习这个课程或学科？

乍一看，数学家所做的事情看似微不足道，但这是最接近实现永久性的。能够创造或创造任何哪怕稍微永久的东西，正是驱使我学习数学的原因。我在A-level课程中最吸引我的主题是微分化，因为它围绕着极限的概念展开，这直接涉及无穷大和无穷小。

我对无限的理解是在读了克莱格的《无限简史》后逐渐形成的，在那本书中我首次接触到康托尔的连续统假设。与无穷相关联的悖论以及围绕它提出的反直觉论点，促使我深入研究这一主题，因此我期待大学中引人入胜的课程，如分析学。在当今不断发展的社会中，理解多样理论及其相互关联的前景令人着迷，因为它们可以应用于许多行业。

“数学美可能很难定义，但这对任何形式的美同样适用。”——哈代在《数学家的辩护》中。我同意哈代的看法，因为我觉得数学美感难以言表，却又如此普遍。然而，我认为学校数学已经失去了它的美感，因为对定理证明的重视不足，重点更多放在定理的最终结果上。

数学的复杂性、精确性和公理化方法一直吸引着我，我希望在大学里能更加欣赏它们的效用。

你的资质和学习如何帮助你准备这门课程或科目？

我认为定理和其证明同等重要，因为两者不可分割。然而，数学之美只能在证明中找到，我在阅读邓纳姆的《天才之旅：数学伟大定理》时发现了一些证明，因此我期待大学阶段的数学教学能更强调理解。在学校期间，我发现学习超出常规A-Level课程的主题，比如欧几里得算法及其在解线性丢番图方程中的应用。

我一直努力拓展自我，比如参加了高级数学挑战赛，获得了金质证书，还参加了数学高级延伸奖（AEA）和第六学期考试试卷（STEP）I和II考试，分别获得了优异成绩和1级和1级。

完成A-level后，我计划通过报名参加一门名为“运用数学”的开放大学课程，从2008年9月到2009年6月，进一步提升我的数学知识。该项目重点介绍A-level数学如何应用于现实情境，例如利用矩阵和向量来考察不同子群体之间的相互依存关系。

你在教育之外还做了哪些准备工作？这些经历为什么有用？

此外，我计划参加STEP III考试，以确保我的知识得以保持，最重要的是，这将是一个令人兴奋的挑战。通过间隔年找份工作，我可以保证大学期间的经济安全，而不是做可能影响学业的兼职工作，同时也能让我获得独立和成熟。我也打算在金融领域找到一些有价值的工作经验。我目前在多个网站上协助数学学生，希望通过在国外教授贫困儿童来拓展这一工作。

此外，我还想进一步发展我在学校开始的课外活动，比如四年前培养的我对打鼓的热情。我曾是学校曲棍球和桥牌俱乐部的活跃成员，希望继续进步，同时学习新的武术。我写过关于碰撞检测等主题的文章，并因一个项目获得奖项，我特别期待有更多时间提升编程技能。

AI点评这份个人陈述展现了强烈的动力和对数学的真诚热情，与UCAS新个人陈述格式高度契合。申请人有效整合个人兴趣、相关阅读材料和学术成就，展现出应对大学学术挑战的准备。为了改进，陈述应更明确地将申请者技能与其如何助力课程成功联系起来，并更清晰地反思课外经历如何培养可转移技能。此外，写作部分可以精简，以提升清晰和流畅度，同时保持申请者的真实声音。总体而言，这是一份引人入胜且结构良好的声明，符合UCAS对2026年及以后的新期望。附上英文

Why do you want to study this course or subject?

At first sight, what a mathematician does may seem small, but it is the closest one can come to achieving permanence. The possibility of producing or creating anything that is even slightly permanent is what drives me to study mathematics. The topic to have engaged me the most at A-level has been differentiation because it is centred on the idea of limits, which relates directly to infinity and infinitesimals.

My understanding of infinity evolved after having read Clegg's 'A Brief History of Infinity', in which I first came across Cantor's continuum hypothesis. The paradoxes associated with infinity and the counter-intuitive arguments put forward about it have motivated me to study this topic in detail, and I therefore look forward to the intriguing courses at university, such as analysis. The prospect of understanding a diverse range of theories and how they connect is fascinating in today's ever advancing society, as they can be applied in many industries.

'It may be very hard to define mathematical beauty, but that is just as true of beauty of any kind' - Hardy in 'A Mathematician's Apology'. I agree with Hardy, for I feel that mathematical beauty is inexpressible and yet so common. However, I believe that mathematics at school level has lost its beauty, as there is not enough emphasis on the proofs of theorems and the focus lies in the end result of a theorem instead.

Sophistication, precision and the axiomatic approach of mathematics have always appealed to me and I hope to appreciate their efficacy to an even greater extent at university.

How have your qualifications and studies helped you to prepare for this course or subject?

My opinion is that a theorem and its proof are both of equal importance, as one cannot exist without the other. Yet mathematical beauty can only be found in proofs, some of which I have discovered upon reading 'Journey Through Genius: The Great Theorems of Mathematics' by Dunham, and I therefore look forward to the rigorous approach of being taught mathematics at university level, which places more emphasis on understanding. While still at school, I found some stimulation in learning topics that go beyond the regular A-Level syllabus, for example Euclid's algorithm and its applications to solving linear Diophantine equations.

I have always tried to extend myself, such as by taking the Senior Mathematics Challenge, in which I achieved a gold certificate, as well as sitting the Advanced Extension Award (AEA) in Mathematics and Sixth Term Examination Papers (STEP) I and II, in which I achieved a Distinction and grades 1 and 1, respectively.

Having completed my A-levels, I intend to further my knowledge in mathematics by enrolling on an Open University course called 'Using mathematics', from September 2008 to June 2009. This focuses on how A-level Mathematics can be applied to real life situations, such as the use of matrices and vectors in order to examine the interdependence of different subpopulations.

What else have you done to prepare outside of education, and why are these experiences useful?

In addition, I plan to sit the STEP III examination to ensure my knowledge is maintained and, above all, it will be an exciting challenge. By getting a job in my gap year, I can guarantee myself financial security for my time at university, rather than doing a part-time job that may disrupt my studies at university, as well as allowing me to gain independence and maturity. I also intend to find some valuable work experience in the field of finance. I currently assist mathematics students on various websites and I hope to extend this by teaching underprivileged children abroad.

Furthermore, I wish to expand on the extra-curricular activities that I started at school, such as my passion for playing the drum kit, which I developed four years ago. I was an active member of my school's hockey and bridge clubs and hope to keep progressing in these, and to also learn new martial arts. Having written articles on topics such as collision detection, as well as winning a prize for one of my projects, I particularly look forward to having more time to improve my programming skills.