Mathematics for Economics and BusinessThis book is designed to meet the requirements of a wide range of students, keeping in view the varied applications of mathematical techniques in different areas of Economics, Commerce, Finance and Management, at the Undergraduate and Post Graduate levels. The subject matter has been presented in a very simple and lucid manner. A large number of questions from various University examination papers have been included to provide a range of questions on different topics of the subjects. Exercises given at the end of each topic will provide a source of practice to the students and make them more confident, assuring better performance in the Examination. Teachers in the subject may also find it absorbing and different from other books, in respect of approach, style and lucidity in explanation supported by appropriate diagrams. |
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Contents
SETS FUNCTIONS SEQUENCE AND SERIES 3 1 | 3-3 |
THE DERIVATIVE 4 1 | 4-4 |
MAXIMA MINIMA OF FUNCTIONS OF MORE THAN 7 1 | 7-7 |
INTEGRATION 8 1 | 8-2 |
MATHEMATICS OF FINANCE 9 1 | 9-9 |
LINEAR PROGRAMMING 10 1 | 10-10 |
THE MAXIMA AND MINIMA 5 1 | A-5 |
Answers A I | A-11 |
Common terms and phrases
annuity augmented matrix capital column commodity concave constant constraint consumer convex cost function Cramer's rule demand curve demand function denotes derivative Determine Differentiating duopolist dx dx elasticity of demand equal equilibrium output equilibrium price Example feasible region firm given graph Hence increase indifference curve input integration inverse investment labour level of output linear programming linear programming problem linearly homogeneous machine marginal cost marginal product marginal revenue matrix maxima maximum profit minima Minimise minimum monopolist objective function optimal solution parabola payment point of inflexion present value producer's surplus production function profit maximising rate of interest respectively revenue function second order condition shadow price Show shown in Fig slack variables slope stationary point Substituting supply function Tableau termed total cost function total revenue units utility function vector write written zero