马上要去NTU上MFE了。。他们有个precourse提供的recommended text是Introduction to Calculus and Matrix Algebra with Applications in Finance这本书(Second Edition, 2007, McGraw-Hill),Lee Hon Sing and Gerald Cheang写的,我在网上怎么都找不到,如果有大大有这本书求发一下,如果没有的话有没有适合的替代的书籍?根据下面的要学习的内容
下面是precourse的内容:
1. Basic Mathematics: Sets, Real Number System, Surds and Logarithm, Simultaneous Equations, Functions, Polynomials
2. Matrix Algebra: Basic Matrix Operations; Elementary Row Operations; Determinants; Matrix Inverses; Linear Equations; Eigenvalues and Eigenvectors;
3. Vector Space: Basic Vector Operations, Norms, Spanning Sets and Basis, Geometry of Vector Spaces, Gram-Schmidt Process
4. Differential Calculus: Series and Sequences; Limits & Continuity; Derivatives (including Partial Derivatives); Product Rule and Chain Rule; Taylor Series;
5. Optimization: Unconstrained Optimization; Constrained Optimization
6. Integral Calculus: Definite & Indefinite Integrals; Techniques of Integration; Special Functions; Laplace Transforms
7. Difference and Differential Equations: Solving difference equations; First & Second Order Linear ODE; Solving ODEs using Laplace Transforms