This Volume II of Engineering Mathematics is a sequel to Volume I of Engineering Mathematics written by the same authors. It is designed for the second-semester course for undergraduate students of all branches of engineering. The text presents a thorough study of some mathematical techniques and exemplifies their use in solving problems encountered in various engineering courses.
The major part of the book is devoted to explaining the most important standard methods (including the Laplace transform method) available for solving ordinary differential equations. Such equations are of fundamental importance in mathematics because various real-life physical and geometrical problems lead to solving differential equations. Graphs, too, are the powerful tools in solving engineering problems. This book provides a sound introduction to the wide area of graph theory which is of paramount importance today in solving optimization problems. The final chapter of the book deals with the first and second type improper integrals including the Gamma and Beta functions.
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