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 analysis1107681UNINA03285nam 2200733Ia 450 991097377540332120200520144314.097866130984299781283098427128309842397815723368961572336897(CKB)2560000000055006(EBL)668942(OCoLC)699521261(SSID)ssj0000471270(PQKBManifestationID)11346547(PQKBTitleCode)TC0000471270(PQKBWorkID)10417592(PQKB)10986158(MiAaPQ)EBC668942(MdBmJHUP)muse19673(Au-PeEL)EBL668942(CaPaEBR)ebr10437920(CaONFJC)MIL309842(Perlego)4876399(EXLCZ)99256000000005500620090323d2010 ub 0engur|n|---|||||txtccrMelancholia and maturation the use of trauma in American children's literature /Eric L. Tribunella1st ed.Knoxville University of Tennessee Pressc20101 online resource (201 p.)Description based upon print version of record.9781572336810 1572336811 Includes bibliographical references and index.Losing and using queer youth -- A boy and his dog -- Knowing, unknowing, and the achievement of young adulthood -- Melancholic development and Revolutionary War fiction for children -- Melancholic sacrifice and the Holocaust in American children's culture -- Coda: physical trauma, childhood embodiment, and children's literature."Coming of age" in children's fiction often means achieving maturity through the experience of trauma. In classics ranging from Old Yeller to The Outsiders, a narrative of psychological pain defies expectations of childhood as a time of innocence and play. In this provocative new book, Eric L. Tribunella explores why trauma, especially the loss of a loved object, occurs in some of the most popular and critically acclaimed twentieth-century American fiction for children.Tribunella draws on queer theory and feminist revisions of Freud's notion of melancholia, which is described aBildungsromans, AmericanHistory and criticismChildren's stories, AmericanHistory and criticismLoss (Psychology) in literatureMaturation (Psychology) in literaturePsychic trauma in literatureYoung adult fiction, AmericanHistory and criticismBildungsromans, AmericanHistory and criticism.Children's stories, AmericanHistory and criticism.Loss (Psychology) in literature.Maturation (Psychology) in literature.Psychic trauma in literature.Young adult fiction, AmericanHistory and criticism.813/.009353Tribunella Eric L1809644MiAaPQMiAaPQMiAaPQBOOK9910973775403321Melancholia and maturation4360546UNINA