Engineering mathematics : programmes and problems

Front Matter....Pages ii-xvi Complex Numbers....Pages 1-34 Complex Numbers....Pages 36-70 Hyperbolic Functions....Pages 72-99 Determinants....Pages 100-138 Vectors....Pages 140-169 Differentiation....Pages 170-193 Differentiation applications....Pages 194-220 Differentiation applications....Pages 222-249 Partial Differentiation....Pages 250-274 Partial differentiation....Pages 276-294 Series....Pages 296-325 Series....Pages 326-355 Integration....Pages 356-386 Integration....Pages 388-417 Reduction Formulae....Pages 418-432 Integration applications....Pages 434-454 Integration applications....Pages 456-480 Integration applications....Pages 482-515 Approximate Integration....Pages 516-536 Polar Co-Ordinates System....Pages 538-562 Multiple Integrals....Pages 564-590 First Order Differential Equations....Pages 592-634 Second Order Differential Equations....Pages 636-666 Operator D Methods....Pages 668-704 Back Matter....Pages 706-745