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Inequalities

With Applications to Engineering

  • Michael J. Cloud
  • Byron C. Drachman
  • Leonid P. Lebedev

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 1-31
  3. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 33-51
  4. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 53-74
  5. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 75-100
  6. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 101-162
  7. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 163-178
  8. Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
    Pages 179-193
  9. Back Matter
    Pages 195-239

About this book

Introduction

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.

Keywords

applied analysis functional analysis inequalities minimum-maximum problems quadratic inequalities theory of linear elasticity

Authors and affiliations

  • Michael J. Cloud
    • 1
  • Byron C. Drachman
    • 2
  • Leonid P. Lebedev
    • 3
  1. 1.Department of Electrical EngineeringLawrence Technological UniversityOkemosUSA
  2. 2.Department of MathematicsMichigan State UniversityEast LansingUSA
  3. 3.Department of MathematicsNational University of ColombiaBogotá DCColombia

Bibliographic information