Inequalities

With Applications to Engineering

Authors: Cloud, Michael J., Drachman, Byron C., Lebedev, Leonid P.

  • 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 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
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Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-319-05311-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-3-319-05310-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: May 7, 2014
  • ISBN 978-3-319-30770-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

About the authors

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.

Reviews

“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


Table of contents (7 chapters)

  • Basic Review and Elementary Facts

    Cloud, Michael J. (et al.)

    Pages 1-31

  • Methods from the Calculus

    Cloud, Michael J. (et al.)

    Pages 33-51

  • Some Standard Inequalities

    Cloud, Michael J. (et al.)

    Pages 53-74

  • Inequalities in Abstract Spaces

    Cloud, Michael J. (et al.)

    Pages 75-100

  • Some Applications

    Cloud, Michael J. (et al.)

    Pages 101-162

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-319-05311-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-3-319-05310-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: May 7, 2014
  • ISBN 978-3-319-30770-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Inequalities
Book Subtitle
With Applications to Engineering
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-05311-0
DOI
10.1007/978-3-319-05311-0
Hardcover ISBN
978-3-319-05310-3
Softcover ISBN
978-3-319-30770-1
Edition Number
2
Number of Pages
XIII, 239
Number of Illustrations and Tables
30 b/w illustrations
Topics