An Introduction to Mathematics: For Students of Economics

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Revision of Elementary Algebra....Pages 3-39
The Summation and Convergence of Some Simple Series....Pages 40-57
Permutations, Combinations and the Binomial Theorem....Pages 58-71
Front Matter....Pages 73-73
Basic Trigonometry....Pages 75-92
Co-Ordinate Geometry....Pages 93-109
Conic Sections And Polar Co-Ordinates....Pages 110-126
Front Matter....Pages 127-127
Continuity and Limits....Pages 129-141
Rates of Change of Economic Variables....Pages 142-147
Differentiation....Pages 148-161
Differentiation....Pages 162-175
Maxima, Minima and Points of Inflexion....Pages 176-190
Integration....Pages 191-203
Logarithms....Pages 204-210
Exponentials....Pages 211-221
Some Techniques Of Differentiation....Pages 222-226
Some Techniques of Integration....Pages 227-247
Maclaurin’s and Taylor’s Theorems....Pages 248-251
Front Matter....Pages 253-253
Partial Differentiation....Pages 255-265
Partial Differentiation....Pages 266-274
Maxima and Minima of Functions of Two or More Variables....Pages 275-281
Front Matter....Pages 253-253
Restricted Maxima and Minima And Lagrange Multipliers....Pages 282-296
Homogeneous Functions and Euler’s Theorem....Pages 297-303
Multiple, Linear and Surface Integration....Pages 304-330
Differentials....Pages 331-340
Front Matter....Pages 341-341
Complex Numbers....Pages 343-358
Differential Equations....Pages 359-390
Difference Equations....Pages 391-410
Front Matter....Pages 411-411
Sets, Numbers and Binary Operations....Pages 413-424
Vectors, Matrices and Determinants....Pages 425-476
Linear Dependence....Pages 477-490
Equivalence, Partitioning and Rank....Pages 491-503
The Solubility of Linear Equations....Pages 504-507
More Linear Programming and Algebra....Pages 508-520
Back Matter....Pages 521-590