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1.

図書

図書
edited by D.A. Caughey, M.M. Hafez
出版情報: Singapore : World Scientific, c2002  xv, 506 p. ; 24 cm
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2.

図書

図書
edited by Makoto Maejima, Tokuzo Shiga
出版情報: New Jersey : World Scientific, c2002  xi, 430 p. ; 26 cm
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3.

図書

図書
В.П. Шестаков
出版情報: Москва : Искусство, 1983  358 p. ; 21 cm
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4.

図書

図書
by Einar I. Haugen
出版情報: New York : F.S. Crofts, c1937  xiii, 214 p. ; 21 cm
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5.

図書

図書
E. T. A. Hoffmann ; mit 48 Zeichnungen von Alfred Kubin
出版情報: München : Nymphenburger Verlagshandlung, 1971  350 p. ; 24 cm
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目次情報: 続きを見る
Der Sandmann
Ignaz Denner
Die Jesuiterkirche in G.
Das Sanctus
Das öde Haus
DasMajorat
Das Gelübde
Das steinerne Herz
Der Sandmann
Ignaz Denner
Die Jesuiterkirche in G.
6.

図書

図書
besorgt vom Institut für Marxismus-Leninismus beim ZK der SED
出版情報: Berlin : Dietz, 1957  695 p. ; 23 cm
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7.

図書

図書
J. M. Evans
出版情報: Lond. : Golden Vista, [n.d.]  90 p. ; 22 cm
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8.

図書

図書
sponsor, IEEE Control Systems Society ; technical co-sponsors, American Society of Mechanical Engineers(ASME), European Union Control Association(EUCA), Society of Instrument and Control Engineers(SICE)
出版情報: [New York] : Institute of Electrical and Electronic Engineers, c2001  1207 p. ; 28 cm
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9.

図書

図書
translated by Dorothy Britton ; illustrations by Shiro Tsujimura
出版情報: Tokyo : Kodansha International, 2002  124 p. ; 19 cm
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10.

図書

図書
Martin A. Moskowitz
出版情報: Singapore ; New Jersey : World Scientific, c2002  ix, 149 p. ; 23 cm
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目次情報: 続きを見る
Preface and Acknowledgments
First Concepts / 1:
Fundamentals of the complex field / 1.1:
Holomorphic functions / 1.2:
Some important examples / 1.3:
The Cauchy-Riemann equations / 1.4:
Some elementary differential equations / 1.5:
Conformality / 1.6:
Power series / 1.7:
Integration Along a Contour / 2:
Curves and their trajectories / 2.1:
Change of Parameter and a Fundamental Inequality / 2.2:
Some important examples of contour integration / 2.3:
The Cauchy theorem in simply connected domains / 2.4:
Some immediate consequences of Cauchy's theorem for a simply connected domain / 2.5:
The Main Consequences of Cauchy's theorem / 3:
The Cauchy theorem in multiply connected domains and the pre-residue theorem / 3.1:
The Cauchy integral formula and its consequences / 3.2:
Analyticity, Taylor's theorem and the identity theorem / 3.3:
The area formula and some consequences / 3.4:
Application to spaces of square integrable holomorphic functions / 3.5:
Spaces of holomorphic functions and Montel's theorem / 3.6:
The maximum modulus theorem and Schwarz' lemma / 3.7:
Singularities / 4:
Classification of isolated singularities, the theorems of Riemann and Casorati-Weierstrass / 4.1:
The principle of the argument / 4.2:
Rouche's theorem and its consequences / 4.3:
The study of a transcendental equation / 4.4:
Laurent expansion / 4.5:
The calculation of residues at an isolated singularity, the residue theorem / 4.6:
Application to the calculation of real integrals / 4.7:
A more general removable singularities theorem and the Schwarz reflection principle / 4.8:
Conformal Mappings / 5:
Linear fractional transformations, equivalence of the unit disk and the upper half plane / 5.1:
Automorphism groups of the disk, upper half plane and entire plane / 5.2:
Annuli / 5.3:
The Riemann mapping theorem for planar domains / 5.4:
Applications of Complex Analysis to Lie Theory / 6:
Applications of the identity theorem: Complete reducibility of representations according to Hermann Weyl and the functional equation for the exponential map of a real Lie group / 6.1:
Application of residues: The surjectivity of the exponential map for U(p,q) / 6.2:
Application of Liouville's theorem and the maximum modulus theorem: The Zariski density of cofinite volume subgroups of complex Lie groups / 6.3:
Applications of the identity theorem to differential topology and Lie groups / 6.4:
Bibliography
Index
Preface and Acknowledgments
First Concepts / 1:
Fundamentals of the complex field / 1.1:
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