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This comprehensive text offers an effective and easy-to-follow coverage of the fundamentals of applied mathematics and their role in engineering analysis. Each topic is presented in great detail and accompanied by a large number of thoroughly worked-out examples, as well as several related exercises. Engineering applications, ranging from mechanical and electrical to structural systems are greatly stressed and integrated throughout the book. Highlights include: A detailed coverage of elemental and basic laws leading to mathematical models of dynamic systems (Ch. 1). Derivation of the mathematical models of most physical systems under consideration to familiarize the reader with the proper laws and engineering terminology. A thorough presentation on linear algebra and matrix eigenvalue problem (Ch. 12-13). Extensive coverage of the fundamentals of numerical methods (Ch. 14), and their applications to differential equations (Ch. 15-16) and linear algebra (Ch. 17). Complete discussion of conformal mappings and their engineering applications (Ch. 11). Extensive coverage of probability and statistics and applications ranging from quality control to random vibrations (Ch. 18).
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