Pure maths

讀PHY同PURE可以揀大學任何一種ENGINEERING
出來做工程師
而且讀PURE MATHS可以揀FINANCE果D
呢個組合其實都幾好嫁
因為大學有唔少科目要求要讀PURE MATHS
至少比起揀BIO會闊D
Subfields in pure mathematics
Analysis is concerned with the properties of functions. It deals with concepts such as continuity, limits, differentiation and integration, thus providing a rigorous foundation for the calculus of infinitesimals introduced by Newton and Leibniz in the 17th century. Real analysis studies functions of real numbers, while complex analysis extends the aforementioned concepts to functions of complex numbers.
Abstract algebra is not to be confused with the manipulation of formulae that is covered in secondary education. It studies sets together with binary operations defined on them. Sets and their binary operations may be classified according to their properties: for instance, if an operation is associative on a set which contains an identity element and inverses for each member of the set, the set and operation is considered to be a group. Other structures include rings, fields and vector spaces.
Geometry is the study of shapes and space, in particular, groups of transformations that act on spaces. For example, projective geometry is about the group of projective transformations that act on the real projective plane, whereas inversive geometry is concerned with the group of inversive transformations acting on the extended complex plane. Geometry has been extended to topology, which deals with objects known as topological spaces and continuous maps between them. Topology is more concerned with the way in which a space is connected than precise distances and angles.
Number theory is the theory of the positive integers. It is based on ideas such as divisibility and congruence. Its fundamental theorem states that each positive integer has a unique prime factorization. It is perhaps the most accessible discipline in pure mathematics for the general public: for instance the Goldbach conjecture is easily stated (but is yet to be proved or disproved).

高考Pure Maths筆記~覆蓋整個課程~好好用~
好多exercise with answer~!

http://hk.geocities.com/qwerrewq20032002/PureMathenotes.pdf
你可以參考一下

ask your teacher..