Mathematics for Economics and BusinessMathematics is the language of science. As such, it is a basic tool for gaining knowledge in any scientific discipline. Students often wonder why mathematics subjects are also included in economics and business studies. Any economist should be fluent in mathematical language and capable of applying mathematics in the analysis, modelling and solving of economic problems. This book covers a broad range of mathematics topics, all of which are essential to gaining the skills required in economics and business professions. Along with theoretical explanations, essential for correctly understanding the concepts involved, it includes a large number of numerical examples. Each chapter is concluded by a collection of exercises with solutions and a self-assessment test, which are key components of the learning process for each topic. |
Contents
15424_Mathematics for economics and business pàg 8 27072015 | 10 |
Contents | 11 |
Inner Product Norm and Distance Quadratic Forms | 131 |
Real Functions of One Variable | 159 |
Systems of Linear Equations | 332 |
Common terms and phrases
a²f adjugate matrix apply L'Hôpital's rule augmented matrix basis of R3 Bolzano's theorem coefficient matrix column commodity conclude convex cos(x cost function defined denoted determinant differentiable function dimension directional limits domain elasticity equal to zero equals zero Example EXERCISES fat point Find the values function at point function f(x Graphically Hessian matrix indeterminate compatible system indeterminate form iterated limits L'Hôpital's rule level curves lim f(x lim x→0 linear combination linearly independent log₂ minor of order non-zero minor number of variables obtain order to compute orthogonal parabola parameter partial derivatives polynomial principal minors profit function quadratic form rank real function real number Self-assessment Test set of vectors sin(x solution solve the system spanning set square matrix stationary points symmetric matrix system of equations tangent line theorem vector subspace ду дх