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1.

図書
図書
1. Handbook of complex variables
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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2.

図書
図書
2. Complex analysis on infinite dimensional spaces
Seán Dineen
出版情報: London ; Berlin : Springer, c1999  xv, 543 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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3.

図書
図書
3. Convex geometric analysis
edited by Keith M. Ball, Vitali Milman
出版情報: New York : Cambridge University Press, c1999  xx, 236 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 34
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4.

図書
図書
4. Orthogonal rational functions (: pbk)
Adhemar Bultheel ... [et al.]
出版情報: New York : Cambridge University Press, 1999  xiv, 407 p. ; 24 cm
シリーズ名: Cambridge monographs on applied and computational mathematics ; 5
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目次情報: 続きを見る
List of symbols
Introduction
Preliminaries / 1：
The fundamental spaces / 2：
The kernal functions / 3：
Recurrence for orthogonal functions / 4：
Quadrature / 5：
Interpolation / 6：
Density of the rational functions / 7：
Favard theorems / 8：
Convergence / 9：
Moment problems / 10：
The boundary case / 11：
Some applications / 12：
Conclusion
Bibliography
The kernel functions
Recurrence and second kind functions
Para-orthogonality and quadrature
Index
List of symbols
Introduction
Preliminaries / 1：
5.

図書
図書
5. Integral geometry, radon transforms and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996 (: pbk)
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
出版情報: Berlin : Springer, c1998  vi, 160 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1684
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6.

図書
図書
6. Introduction to complex analysis
Junjiro Noguchi ; translated by Junjiro Noguchi
出版情報: Providence, R.I. : American Mathematical Society, c1998  xi, 250 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 168
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7.

図書
図書
7. Classical topics in complex function theory
Reinhold Remmert ; translated by Leslie Kay
出版情報: New York : Springer, c1998  xix, 349 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 172
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目次情報: 続きを見る
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
Entire Functions with Prescribed Zeros
Holomorphic Functions with Prescribed Zeros
Iss'sa's Theorem. Regions of Holomorphy
Functions with Prescribed Principal Parts
Mapping Theory: The Theorems of Montel and Vitali
The Riemann Mapping Theorem
Appendix to Chapter 8 Caratheodory
Koebe Theory
Automorphisms and Finite Inner Maps
Selecta: The Theorems of Bloch, Picard, and Schottky
Boundary Behavior of Power Series
Runge Theory for Compact Sets
Runge Theory for Domains
Invariance of the Number of Holes
Short Biographies
Name
Index Subject
Index
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
8.

図書
図書
8. Complex analysis. 4th ed
Serge Lang
出版情報: New York : Springer, c1999  xiv, 485 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
9.

図書
図書
9. Function theory of one complex variable
Robert E. Greene, Steven G. Krantz
出版情報: New York : J. Wiley, c1997  xiii, 496 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
Meromorphic Functions and Residues
Zeros of a Holomorphic Function
Holomorphic Functions as Geometric Mappings
Harmonic Functions
Infinite Series and Products
Applications of Infinite Sums and Products
Analytic Continuation
Topology
Rational Approximation Theory
Special Classes of Holomorphic Functions
Hilbert Spaces of Holomorphic Functions, the Bergman Kernel, and Biholomorphic Mappings
Special Functions and the Prime Number Theorem
Appendices
References
Index
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
10.

図書
図書
10. Gaussian Hilbert spaces
Svante Janson
出版情報: Cambridge, United Kingdom : Cambridge University Press, 1997  x, 340 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 129
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Gaussian Hilbert spaces / 1：
Wiener chaos / 2：
Wick products / 3：
Tensor products and Fock spaces / 4：
Hypercontractivity / 5：
Distributions of variables with finite chaos expansions / 6：
Stochastic integration / 7：
Gaussian stochastic processes / 8：
Conditioning / 9：
Limit theorems for generalized U-statistics / 10：
Applications to operator theory / 11：
Some operators from quantum physics / 12：
The Cameron-Martin shift / 13：
Malliavin calculus / 14：
Transforms / 15：
Appendices
Gaussian Hilbert spaces / 1：
Wiener chaos / 2：
Wick products / 3：
11.

図書
図書
11. Complex analysis. 2nd ed
Joseph Bak, Donald J. Newman
出版情報: New York : Springer-Verlag, c1997  x, 294 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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12.

図書
図書
12. Potential theory in the complex plane (: hbk ; : pbk)
Thomas Ransford
出版情報: Cambridge : Cambridge University Press, 1995  x, 232 p. ; 23 cm
シリーズ名: London Mathematical Society student texts ; 28
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目次情報: 続きを見る
Preface
A word about notation
Harmonic functions / 1：
Subharmonic functions / 2：
Potential theory / 3：
The Dirichlet problem / 4：
Capacity / 5：
Applications / 6：
Borel measures
Bibliography
Index
Glossary of notation
Preface
A word about notation
Harmonic functions / 1：
13.

図書
図書
13. Clifford algebras and spinor structures : a special volume dedicated to the memory of Albert Crumeyrolle, 1919-1992
edited by Rafał Abłamowicz and Pertti Lounesto
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  xx, 421 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 321
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14.

図書
図書
14. Integral representations for spatial models of mathematical physics
Vladislav V. Kravchenko and Michael V. Shapiro
出版情報: Harlow : Longman, 1996  247 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 351
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15.

図書
図書
15. Classical complex analysis
Liang-shin Hahn, Bernard Epstein
出版情報: Sudbury, Mass. : Jones and Bartlett Publishers, c1996  xiii, 411 p. ; 25 cm
シリーズ名: Jones and Bartlett books in mathematics and computer science
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16.

図書
図書
16. Current topics in complex algebraic geometry
edited by Herbert Clemens and János Kollár
出版情報: Cambridge : Cambridge University Press, 1995  xi, 158 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; v. 28
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17.

図書
図書
17. Commutative algebra (: hdk)
Christian Peskine
出版情報: Cambridge [England] : Cambridge University Press, 1996  x, 230 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 47 . An algebraic introduction to complex projective geometry ; 1
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18.

図書
図書
18. Entire and meromorphic functions polyanalytic functions and their generalizations (: gw)
A.A. Gonchar, V.P. Havin, N.K. Nikolski, (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1997  261 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 85 . Complex analysis ; 1
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目次情報:
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
19.

図書
図書
19. Complex analysis : dedicated to H. Grauert : proceedings of the International Workshop, Wuppertal, 1990
Klas Diederich (ed.)
出版情報: Braunschweig : Friedr. Vieweg, c1991  ix, 341 p. ; 23 cm
シリーズ名: Aspects of mathematics = Aspekte der Mathematik ; v. E17
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20.

図書
図書
20. Complex analysis : the geometric viewpoint
Steven G. Krantz
出版情報: [Washington, D.C.] : Mathematical Association of America, c1990  xv, 212 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 23
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目次情報: 続きを見る
Principal ideas of classical function theory / 1：
Basic notions of differential geometry / 2：
Curvature and applications / 3：
Some new invariant metrics / 4：
A glimpse of several complex variables / 5：
Principal ideas of classical function theory / 1：
Basic notions of differential geometry / 2：
Curvature and applications / 3：
21.

図書
図書
21. Complex algebraic geometry : an introduction to curves and surfaces
Kichoon Yang
出版情報: New York : Marcel Dekker, c1991  viii, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 149
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22.

図書
図書
22. Functions of completely regular growth
by L.I. Ronkin
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  xii, 392 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 81
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23.

図書
図書
23. The Schwarz function and its generalization to higher dimensions
Harold S. Shapiro
出版情報: New York : Wiley, c1992  xi, 108 p. ; 25 cm
シリーズ名: University of Arkansas lecture notes in the mathematical sciences ; v. 9
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目次情報: 続きを見る
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
Quadrature Domains: Basic Properties, 1
Quadrature Domains: Basic Properties, 2
Schwarzian Reflection, Revisited
Projectors from L? (dOmega) to H? (dOmega)
The Friedrichs Operator
Concluding Remarks
Bibliography
Index
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
24.

図書
図書
24. Complex analysis : selected topics
Mario O. González
出版情報: New York : M. Dekker, c1992  xi, 518 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 152
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25.

図書
図書
25. Classical complex analysis
Mario O. González
出版情報: New York : M. Dekker, c1992  xiv, 767 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 151
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26.

図書
図書
26. Introduction to complex analytic geometry (: sz ; : us)
Stanisław Łojasiewicz ; translated from the Polish by Maciej Klimek
出版情報: Basel ; Boston : Birkhäuser, 1991  xiv, 523 p. ; 24 cm
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27.

図書
図書
27. Functions of several variables
B.V. Shabat ; [translated from the Russian by J.S. Joel]
出版情報: Providence, R.I. : American Mathematical Society, c1992  x, 371 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 110 . Introduction to complex analysis ; pt. 2
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28.

図書
図書
28. Complex analysis. 3rd ed (: us ; : gw)
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1993  xiv, 458 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
29.

図書
図書
29. Special functions - integral transforms - asymptotics - continued fractions. Wiley classics library ed (: pbk)
Peter Henrici
出版情報: New York : Wiley, 1991, c1977  ix, 662 p. ; 23 cm
シリーズ名: Wiley classics library ; . Applied and computational complex analysis ; v. 2
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目次情報: 続きを見る
Infinite Products
Ordinary Differential Equations
Integral Transforms
Asymptotic Methods
Continued Fractions
Bibliography
Appendix
Index
Infinite Products
Ordinary Differential Equations
Integral Transforms
30.

図書
図書
30. Complex analysis : an invitation : a concise introduction to complex function theory (: pbk)
Murali Rao, Henrik Stetkær
出版情報: Singapore : World Scientific, c1991  ix, 240 p. ; 23 cm
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31.

図書
図書
31. Complex analysis and applications (: pbk)
Alan Jeffrey
出版情報: Boca Raton, FL : CRC Press, c1992  viii, 624 p. ; 24 cm
シリーズ名: Advanced engineering mathematics ; v. 2
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32.

図書
図書
32. Complex variables : an introduction (: gw ; : us)
Carlos A. Berenstein, Roger Gay
出版情報: New York : Springer-Verlag, c1991  xii, 650 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 125
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目次情報: 続きを見る
Topology of the Complex Plane and Holomorphic Functions
Analytic Properties of Holomorphic Functions
The a-Equation
Harmonic and Subharmonic Functions
Analytic Continuation and Singularities
References
Notation and Selected Terminology
Index
Topology of the Complex Plane and Holomorphic Functions
Analytic Properties of Holomorphic Functions
The a-Equation
33.

図書
図書
33. Introduction to complex analysis. Rev. ed (: pbk)
H.A. Priestley
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1990  xi, 214 p. ; 24 cm
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目次情報: 続きを見る
The Complex Plane / 1：
Holomorphic Functions and Power Series / 2：
Prelude to Cauchy's Theorem / 3：
Cauchy's Theorem / 4：
Consequences of Cauchy's Theorem / 5：
Singularities and Multifunctions / 6：
Cauchy's Residue Theorem / 7：
Applications of Contour Integration / 8：
Fourier and Laplace Transforms / 9：
Conformal Mapping and Harmonic Functions / 10：
The Complex Plane / 1：
Holomorphic Functions and Power Series / 2：
Prelude to Cauchy's Theorem / 3：
34.

図書
図書
34. Complex variables. 2nd ed
Stephen D. Fisher
出版情報: Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1990  xiv, 427 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series
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目次情報: 続きを見る
The complex plane / 1：
The complex numbers and the complex plane / 1.1：
A formal view of the complex numbers / 1.1.1：
Some geometry / 1.2：
Subsets of the plane / 1.3：
Functions and limits / 1.4：
The exponential, logarithm, and trigonometric functions / 1.5：
Line integrals and Green's theorem / 1.6：
Basic properties of analytic functions / 2：
Analytic and harmonic functions; the Cauchy-Riemann equations / 2.1：
Flows, fields, and analytic functions / 2.1.1：
Power series / 2.2：
Cauchy's theorem and Cauchy's formula / 2.3：
The Cauchy-Goursat theorem / 2.3.1：
Consequences of Cauchy's formula / 2.4：
Isolated singularities / 2.5：
The residue theorem and its application to the evaluation of definite integrals / 2.6：
Analytic functions as mappings / 3：
The zeros of an analytic function / 3.1：
The stability of solutions of a system of linear differential equations / 3.1.1：
Maximum modulus and mean value / 3.2：
Linear fractional transformations / 3.3：
Conformal mapping / 3.4：
Conformal mapping and flows / 3.4.1：
The Riemann mapping theorem and Schwarz-Christoffel transformations / 3.5：
Analytic and harmonic functions in applications / 4：
Harmonic functions / 4.1：
Harmonic functions as solutions to physical problems / 4.2：
Integral representations of harmonic functions / 4.3：
Boundary-value problems / 4.4：
Impulse functions and the Green's function of a domain / 4.5：
Transform methods / 5：
The Fourier transform: basic properties / 5.1：
Formulas Relating u and u / 5.2：
The Laplace transform / 5.3：
Applications of the Laplace transform to differential equations / 5.4：
The Z-Transform / 5.5：
The stability of a discrete linear system / 5.5.1：
A Table of Conformal Mappings / Appendix 1：
A Table of Laplace Transforms / Appendix 3：
Solutions to Odd-Numbered Exercises
Index
The complex plane / 1：
The complex numbers and the complex plane / 1.1：
A formal view of the complex numbers / 1.1.1：
35.

図書
図書
35. Theory of complex functions (: us ; : gw)
Reinhold Remmert ; translated by Robert B. Burckel
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xix, 454 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 122 . Readings in mathematics
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目次情報: 続きを見る
Historical Introduction
Chronological Table
Elements of Function Theory
The Cauchy Theory
Cauchy-Weierstrass-Riemann Function Theory
Short Biographies
Literature
Indices
Historical Introduction
Chronological Table
Elements of Function Theory
36.

図書
図書
36. Operator theory in function spaces
Kehe Zhu
出版情報: New York : M. Dekker, c1990  ix, 258 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 139
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37.

図書
図書
37. An introduction to complex function theory (: us ; : gw)
Bruce P. Palka
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xvii, 559 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
The Complex Number System
The Rudiments of Plane Topology
Analytic Functions
Complex Integration
Cauchy's Theorem and its Consequences
Harmonic Functions
Sequences and Series of Analytic Functions
Isolated Singularities of Analytic Functions
Conformal Mapping
Constructing Analytic Functions
Background on Fields / Appendix A：
Winding Numbers Revisited / Appendix B：
Index
The Complex Number System
The Rudiments of Plane Topology
Analytic Functions
38.

図書
図書
38. Invariant distances and metrics in complex analysis
by Marek Jarnicki, Peter Pflug
出版情報: Berlin ; New York : Walter de Gruyter, 1993  xi, 408 p. ; 25 cm
シリーズ名: De Gruyter expositions in mathematics ; 9
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39.

図書
図書
39. Complex analysis and its applications
Chung-Chun Yang ... [et al.] (editors)
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York : John Wiley, 1994  359 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 305
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40.

図書
図書
40. Complex analytic methods for partial differential equations : an introductory text
Heinrich G.W. Begehr
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1994  ix, 273 p. ; 23 cm
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41.

図書
図書
41. Complex dynamics (: us ; : gw)
Lennart Carleson, Theodore W. Gamelin
出版情報: New York : Springer-Verlag, c1993  ix, 174 p. ; 24 cm
シリーズ名: Universitext
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