Inequalities: With Applications to Engineering - Hardcover

Cloud, Michael J; Drachman, Byron C

Hardcover

ISBN 10: 0387984046 ISBN 13: 9780387984049

Publisher: Springer-Verlag New York Inc., 1998

Synopsis

A working knowledge of inequalities can be beneficial to the practicing engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. They can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind, and helps fill the gap between college algebra-level treatments, and the formidable treatise on the subject that exist in the mathematics literature. To consolidate the learning process, every chapter ends with a rich collection of exercises.

About this title

Synopsis

There used to be a saying in mathematical circles that went something like "Children work with equalities; grownups work with inequalities. " An overstatement perhaps, but a facility with inequalities does seem to be necessary for an understanding of much of mathematics at intermediate and higher levels. In particular, a working knowledge of inequalities can be beneficial to the practicing engineer. Inequalities are central to the definitions of all limiting processes, including differention and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inqualities can be used to obtain error bounds for numerical approximation. Inqualities can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind. It is intended to help fill the gap between college-algebra level treatments of inqualities that everyone has seen before, and the formidable treatise on the subject that exist in the mathematics literature. Every chapter ends with a rich collection of exercises.

The book should be accessible to senior- level engineering students, graduate students, and practicing engineers.

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1998
• Language: English
• ISBN 10: 0387984046
• ISBN 13: 9780387984049
• Binding: Hardcover
• Number of pages: 150