03773nam 22005892 450 991080865240332120151002020703.00-88385-970-X(CKB)2670000000386409(EBL)3330358(SSID)ssj0000667044(PQKBManifestationID)11379017(PQKBTitleCode)TC0000667044(PQKBWorkID)10674009(PQKB)10582971(UkCbUP)CR9780883859704(MiAaPQ)EBC3330358(Au-PeEL)EBL3330358(CaPaEBR)ebr10722469(OCoLC)817963747(RPAM)12660885(EXLCZ)99267000000038640920111001d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierInequalities from complex analysis /John P. D'Angelo[electronic resource]Washington :Mathematical Association of America,2002.1 online resource (264 pages) digital, PDF file(s)The Carus mathematical monographs ;no. 28Title from publisher's bibliographic system (viewed on 02 Oct 2015).0-88385-033-8 Includes bibliographical references (p. 257-259) and index.Complex numbers -- Complex Euclidean spaces and Hilbert space -- Complex analysis in several variables -- Linear transformations and positivity conditions -- Compact and integral operators -- Positivity conditions for real-valued functions -- Stabilisation for bihomogenous polynomials and applications.Inequalities from Complex Analysis is a careful, friendly exposition of inequalities and positivity conditions for various mathematical objects arising in complex analysis. The author begins by defining the complex number field, and then discusses enough mathematical analysis to reach recently published research on positivity conditions for functions of several complex variables. The development culminates in complete proofs of a stabilization theorem relating two natural positivity conditions for real-valued polynomials of several complex variables. The reader will also encounter the Bergman kernel function, Fourier series, Hermitian linear algebra, the spectral theorem for compact Hermitian operators, plurisubharmonic functions, and some delightful inequalities. Numerous examples, exercises, and discussions of geometric reasoning appear along the way. Undergraduate mathematics majors who have seen elementary real analysis can easily read the first five chapters of this book, and second year graduate students in mathematics can read the entire text. Some physicists and engineers may also find the topics and discussions useful. The inequalities and positivity conditions herein form the foundation for a small but beautiful part of complex analysis. John P. D'Angelo was the 1999 winner of the Bergman Prize; he was cited for several important contributions to complex analysis, including his work on degenerate Levi forms and points of finite type, as well as work, some joint with David Catlin, on positivity conditions in complex analysisCarus mathematical monographs ;no. 28.Functions of complex variablesInequalities (Mathematics)Mathematical analysisFunctions of complex variables.Inequalities (Mathematics)Mathematical analysis.515/.9D'Angelo John P.60384UkCbUPUkCbUPBOOK9910808652403321Inequalities from complex analysis1107681UNINA07979nam 2202329z- 450 991055747460332120210501(CKB)5400000000043052(oapen)https://directory.doabooks.org/handle/20.500.12854/68667(oapen)doab68667(EXLCZ)99540000000004305220202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFatigue and Fracture of Non-metallic Materials and StructuresBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (586 p.)3-03928-778-8 3-03928-779-6 The mechanics of fracture and fatigue have produced a huge body of research work in relation to applications to metal materials and structures. However, a variety of non-metallic materials (e.g., concrete and cementitious composites, rocks, glass, ceramics, bituminous mixtures, composites, polymers, rubber and soft matter, bones and biological materials, and advanced and multifunctional materials) have received relatively less attention, despite their attractiveness for a large spectrum of applications related to the components and structures of diverse engineering branches, applied sciences and architecture, and to the load-carrying systems of biological organisms. This book covers the broad topic of structural integrity of non-metallic materials, considering the modelling, assessment, and reliability of structural elements of any scale. Original contributions from engineers, mechanical materials scientists, computer scientists, physicists, chemists, and mathematicians are presented, applying both experimental and theoretical approaches.History of engineering and technologybicsscABAQUS FEAAdvanced materials.aeroelastic simulationassessmentblast furnace slagblow-off impulseboundary effectbridge decksbridge evaluationcarbon fiber-reinforced polymers-CFRPcarbon-containing refractoriesCeramicsCFRPchemical groutingcivil engineeringcohesive zone modelCohesive Zone Model (CZM)composite reinforced panelCompositescompressive membrane actioncompressive modulus of elasticitycompressive strengthcompressive stressconcreteConcreteconcrete bridgesconcrete crackingcrack patternscrack propagationcritical stress intensity factordamage modeldata assimilationdefect tolerancedeformationdelaminationdiamond compositedigital image correlationdiscrete elementdiscrete element methoddistribution of strain energyelastic interfaceelectric-thermal couplingembedmentenergy evolutionenergy release rateenhanced PG-NEMEthylene-propylene diene monomer rubber EPDMfailure probabilityfatigueFatiguefatigue assessmentfatigue lifefatigue loadfatigue loadingfiber-reinforced composite laminatefibre-reinforced high performance concretefinenessfinite element analysisFinite Element Analysis (FEA)flexural testflowing waterfly ashfour-point bending beam fatigue testfracturefracture energyFracture mechanicsfracture mechanismfracture parametersfracture toughnessfracture widthfracturesfunctionally graded material (FGM)goaf consolidationgrommethigh performance concretehigh-temperature wedge splitting testimpact and quasi-static loadingindicesinter-laminar damageintra-laminar damagejoint roughness coefficientjointed rocklightning strikelive loadsLow Velocity Impactsmaterial failure characteristicsmaximum compressive strainmechanical propertiesmesostructuremetallic glassesmineral grain shapeminingmixed-mode fracturemode-II microcracksmodified asphalt mixturemodified interaction integralmulti-directional laminatemulti-scale simulationn/aneutral axisnondestructive testingnotch bluntingnumerical analysisnumerical simulationoptimization of shape designoverlay testerparticle flow codeparticle sizephysical modelling testphysical propertiespitch regulationpolymersPolymerspressure-tension apparatusprestressed concreteproppant packpseudo-cracking methodpunching shearRC beamsRC strengthening (in bending and shear)red sandstonereducing conditionreinforced concrete beamreliabilityreliability of rocksretrofittingroad bridge decksRockrock cutting picksrock fracturerock mechanical propertyrock mechanicsrock structurerock-like materialsandstonescale modelself-healingshale rockshear bandssize effectsmall wind turbinesoft materialsSoft matterstagnant waterstall regulationstrain energystrain ratestrain rate tensorstrain-softeningstrata structural behaviorstress concentratorsstress intensity factor (SIF)Structural integritysuccessive strain gaugetensile strengthtensiontension weakeningthermodynamicstriaxial compression testtwo-point trapezoidal beam fatigue testultrasonic pulse velocityuniaxial compression simulationuniaxial tension loadingvelocity fieldVUMATwater plugging rateHistory of engineering and technologySpagnoli Andreaedt1324201Spagnoli AndreaothBOOK9910557474603321Fatigue and Fracture of Non-metallic Materials and Structures3036033UNINA