Michael J. Cloud, Bryon C. Drachman

Inequalities (eBook, PDF)

With Applications to Engineering

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 150
• Erscheinungstermin: 10. Mai 2006
• Englisch
• ISBN-13: 9780387226262
• Artikelnr.: 43998818

Autorenporträt

Michael J. Cloud received a Ph.D. in Electrical Engineering from Michigan State University. He has been a faculty member in the Department of Electrical and Computer Engineering at Lawrence Technological University since 1987 and currently holds the rank of Associate Professor. Byron C. Drachman is Emeritus Professor of Mathematics at Michigan State University. He received a Ph.D. in Mathematics from Brown University in 1966. Leonid P. Lebedev completed a Ph.D. in Physics and Mathematics at Southern Federal University in Russia. He is a professor of mathematics at the National University of Colombia at Bogota and holds a faculty appointment at Southern Federal University.

Inhaltsangabe

Preface.- 1. Basic Review and Elementary Facts.- 2. Methods from the Calculus.- 3. Some Standard Inequalities.- 4. Inequalities in Abstract Spaces.- 5. Some Applications.- 6. Inequalities for Differential Equations.- 7. Brief Introduction to Interval Analysis.- Hints for Selected Problems.- References.- Appendix.

Rezensionen

"This second edition of Inequalities with Applications to Engineering is aimed at readers having customary backgrounds in engineering mathematics. ... It is interesting to note that the authors included not only classical inequalities ... but also some discussion of extremum problems and an introduction to interval analysis. ... It should be of interest to both undergraduate and graduate students of mathematics, physics and engineering, as well as to practicing engineers." (Victor A. Eremeyev, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 95 (8), 2015)

"It reads at an undergraduate mathematics level but gives soft introductions and reviews on all topics leaving it possible for those without a formal mathematical or applied mathematical background to follow. ... Any mathematician would enjoy this book and appreciate its clear, concise descriptions. ... It simply is a very nice applied mathematics book." (Anna Heffernan, Irish Mathematical Bulletin, Issue 75, 2015)

"...a remarkable addition to the literature on inequalities, and not only engineers or other applied scientists, but the students of mathematics and researchers will appreciate it." - József Sándor, zbMATH