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A complex analysis problem book [electronic resource] / 2nd ed

A complex analysis problem book [electronic resource] / 2nd ed

자료유형
E-Book(소장)
개인저자
Alpay, Daniel.
서명 / 저자사항
A complex analysis problem book [electronic resource] / by Daniel Alpay.
판사항
2nd ed.
발행사항
Cham :   Springer International Publishing :   Imprint: Birkhäuser,   2016.  
형태사항
1 online resource (x, 596 p.) .
ISBN
9783319421810
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
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001 000046029948
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006 m d
007 cr
008 200601s2016 sz ob 001 0 eng d
020 ▼a 9783319421810
040 ▼a 211009 ▼c 211009 ▼d 211009
082 0 4 ▼a 512.788 ▼2 23
084 ▼a 512.788 ▼2 DDCK
090 ▼a 512.788
100 1 ▼a Alpay, Daniel.
245 1 2 ▼a A complex analysis problem book ▼h [electronic resource] / ▼c by Daniel Alpay.
250 ▼a 2nd ed.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Birkhäuser, ▼c 2016.
300 ▼a 1 online resource (x, 596 p.) .
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-42181-0
945 ▼a KLPA
991 ▼a E-Book(소장)

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No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.788 등록번호 E14022892 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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