This text/reference covers essential areas of engineering mathematics involving single, multiple, and complex variations. Taken as a whole, this book provides a succinct, carefully organized guide for mastering engineering mathematics.
Unlike typical textbooks, Advanced Engineering Mathematics begins with a thorough exploration of complex variables because they provide powerful techniques for understanding topics, such as Fourier, Laplace and z-transforms, introduced later in the text. The book contains a wealth of examples, both classic problems used to illustrate concepts, and interesting real-life examples from scientific literature.
Ideal for a two-semester course on advanced engineering mathematics, Advanced Engineering Mathematics is concise and well-organized, unlike the long, detailed texts used to teach this subject. Since almost every engineer and many scientists need the skills covered in this book for their daily work, Advanced Engineering Mathematics also makes an excellent reference for practicing engineers and scientists.
Table of Contents
FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATIONS
THE FOURIER TRANSFORM
THE LAPLACE TRANSFORM
THE HILBERT TRANSFORM
THE STURM-LIOUVILLE PROBLEM
THE WAVE EQUATION
THE HEAT EQUATION
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