LEADER 04366nam 22007455 450 001 9910300160003321 005 20200703221018.0 010 $a3-319-05311-6 024 7 $a10.1007/978-3-319-05311-0 035 $a(CKB)3710000000119106 035 $a(Springer)9783319053110 035 $a(MH)014079063-2 035 $a(SSID)ssj0001243734 035 $a(PQKBManifestationID)11838459 035 $a(PQKBTitleCode)TC0001243734 035 $a(PQKBWorkID)11303317 035 $a(PQKB)11216815 035 $a(DE-He213)978-3-319-05311-0 035 $a(MiAaPQ)EBC6314356 035 $a(MiAaPQ)EBC1731040 035 $a(Au-PeEL)EBL1731040 035 $a(CaPaEBR)ebr10969067 035 $a(OCoLC)879590577 035 $a(PPN)178779466 035 $a(EXLCZ)993710000000119106 100 $a20140506d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInequalities $eWith Applications to Engineering /$fby Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev 205 $a2nd ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XIII, 239 p. 30 illus.)$conline resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-05310-8 327 $aPreface -- 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. 330 $aThis 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. 606 $aFunctions of real variables 606 $aFunctions, Special 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 615 0$aFunctions of real variables. 615 0$aFunctions, Special. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aReal Functions. 615 24$aSpecial Functions. 615 24$aMathematical and Computational Engineering. 676 $a620.00151 700 $aCloud$b Michael J$4aut$4http://id.loc.gov/vocabulary/relators/aut$041158 702 $aDrachman$b Byron C$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLebedev$b Leonid P$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300160003321 996 $aInequalities$92543322 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress