Inequalities: With Applications to Engineering
Autor Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedeven Limba Engleză Paperback – 19 mai 2014
The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry or any other quantitative science.
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Specificații
ISBN-13: 9783319307701
ISBN-10: 3319307703
Pagini: 239
Ilustrații: XIII, 239 p. 30 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.36 kg
Ediția:2nd ed. 2014
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3319307703
Pagini: 239
Ilustrații: XIII, 239 p. 30 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.36 kg
Ediția:2nd ed. 2014
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
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.
Recenzii
“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
“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
Notă biografică
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.
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.
Textul de pe ultima copertă
This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality.
The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry, or any other quantitative science.
The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry, or any other quantitative science.
Caracteristici
New edition extensively revised and updated Provides full coverage of the central inequalities of applied analysis: Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality, the triangle inequality and many more Includes applications to continuum mechanics and an introduction to the powerful field of interval analysis Presents a thorough review of background topics that make the book suitable for undergraduate students and practicing engineers, as well as graduate students and researchers Includes supplementary material: sn.pub/extras