03262nam 22005175 450 991025409220332120211006151753.09783319421810331942181610.1007/978-3-319-42181-0(CKB)3710000000926147(DE-He213)978-3-319-42181-0(MiAaPQ)EBC5577735(PPN)196325706(MiAaPQ)EBC31851775(Au-PeEL)EBL31851775(OCoLC)1482814867(EXLCZ)99371000000092614720161026d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierA Complex Analysis Problem Book /by Daniel Alpay2nd ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (X, 596 p.)9783319421797 3319421794 Includes bibliographical references and index.Part I Complex Numbers -- Complex Numbers: Algebra -- Complex Numbers: Geometry -- Complex Numbers and Analysis -- Part II Functions of a Complex Variable -- Cauchy–Riemann Equations and C-differentiable Functions -- Cauchy’sTheorem -- Morera, Liouville, Schwarz, et les autres: First Applications -- Laurent Expansions, Residues, Singularities and Applications -- Computations of Definite Integrals Using the Residue Theorem -- Part III Applications and More Advanced Topics -- Harmonic Functions -- Conformal Mappings -- A Taste of Linear System Theory and Signal Processing -- Rational Functions -- Special Functions and Transforms -- Part IV Appendix -- Some Topology -- Some Functional Analysis Essentials -- A Brief Survey of Integration.This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.Functions of complex variablesFunctions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Functions of complex variables.Functions of a Complex Variable.515.9Alpay Danielauthttp://id.loc.gov/vocabulary/relators/aut54298MiAaPQMiAaPQMiAaPQBOOK9910254092203321Complex analysis problem book1523047UNINA01048nam0 22002891i 450 UON0006976520231205102346.16405-212-5232-620020107d1986 |0itac50 baengGB|||| |||||ˆA ‰short history of modern EgyptAfaf Lutfi al-Sayyid MarsotReprintCambridgeCambridge University Press1986viii, 151 p.22 cmEgitto StoriaUONC014181FICambridgeUONL000022962STORIA DELL'EGITTO21MARSOTAfaf LutfiUONV043817657782Cambridge University PressUONV245943650ITSOL20250905RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00069765SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI IV 013 SI AA 9797 5 013 Short history of modern Egypt1160821UNIOR