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1.

図書

図書
N.G. Lloyd
出版情報: Cambridge : Cambridge University Press, c1978  x, 172 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics ; 73
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2.

図書

図書
C.T.C. Wall
出版情報: London ; New York : Academic Press, 1970  x, 280 p. ; 23 cm
シリーズ名: L.M.S. monographs ; 1
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3.

図書

図書
Norman Biggs
出版情報: London ; New York : Cambridge University Press, c1974  vi, 170 p ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; 67
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目次情報: 続きを見る
Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
Regular graphs and line graphs / 3:
Cycles and cuts / 4:
Spanning trees and associated structures / 5:
The tree-number / 6:
Determinant expansions / 7:
Vertex-partitions and the spectrum / 8:
Colouring Problems / Part II:
The chromatic polynomial / 9:
Subgraph expansions / 10:
The multiplicative expansion / 11:
The induced subgraph expansion / 12:
The Tutte polynomial / 13:
Chromatic polynomials and spanning trees / 14:
Symmetry and Regularity / Part III:
Automorphisms of graphs / 15:
Vertex-transitive graphs / 16:
Symmetric graphs / 17:
Symmetric graphs of degree three / 18:
The covering graph construction / 19:
Distance-transitive graphs / 20:
Feasibility of intersection arrays / 21:
Imprimitivity / 22:
Minimal regular graphs with given girth / 23:
References
Index
Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
4.

図書

図書
J. R. Higgins
出版情報: Cambridge [Eng.] ; New York : Cambridge University Press, 1977  x, 134 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; 72
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5.

図書

図書
by S. A. Naimpally and B. D. Warrack
出版情報: Cambridge [Eng.] : University Press, 1970  x, 128 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 59
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目次情報: 続きを見る
Basic Properties / 1:
Compactifications of Proximity Spaces / 2:
Proximity and Uniformity / 3:
Further Developments / 4:
Basic Properties / 1:
Compactifications of Proximity Spaces / 2:
Proximity and Uniformity / 3:
6.

図書

図書
J.A. Tyrrell and J.G. Semple
出版情報: London : Cambridge University Press, 1971  vii, 140 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 61
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目次情報: 続きを見る
Introduction / 1:
Preliminaries of geometry in S2n-1 / 2:
Clifford parallel spaces and Clifford reguli / 3:
Linear systems of Clifford parallels / 4:
Geometrical constructions / 5:
The T-representation / 6:
Half-Grassmannians / 7:
Introduction / 1:
Preliminaries of geometry in S2n-1 / 2:
Clifford parallel spaces and Clifford reguli / 3:
7.

図書

図書
Richard A. Alò and Harvey L. Shapiro
出版情報: London ; New York : Cambridge University Press, 1974  xi, 306 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics ; 65
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目次情報: 続きを見る
Preliminaries / 1:
Normality and real-valued continuous functions / 2:
Normality and normal covers / 3:
Normality and pseudometrics / 4:
Normality and uniformities / 5:
Preliminaries / 1:
Normality and real-valued continuous functions / 2:
Normality and normal covers / 3:
8.

図書

図書
Masamichi Takesaki
出版情報: New York : Springer-Verlag, c1979  vii, 415 p. ; 24 cm
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9.

図書

図書
V.I. Arnold ; translated and edited by Richard A. Silverman
出版情報: Cambridge : MIT Press, c1973  viii, 280 p. ; 23 cm
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目次情報: 続きを見る
Preface
Frequently Used Notation
Basic Concepts / 1:
Phase Spaces and Phase Flows
Vector Fields on the Line / 2:
Phase Flows on the Line / 3:
Vector Fields and Phase Flows in the Plane / 4:
Nonautonomous Equations / 5:
The Tangent Space / 6:
Basic Theorems
The Vector Field near a Nonsingular Point / 7:
Applications to the Nonautonomous Case / 8:
Applications to Equations of Higher Order / 9:
Phase Curves of Autonomous Systems / 10:
The Directional Derivative. First Integrals / 11:
Conservative Systems with One Degree of Freedom / 12:
Linear Systems
Linear Problems / 13:
The Exponential of an Operator / 14:
Properties of the Exponential / 15:
The Determinant of the Exponential / 16:
The Case of Distinct Real Eigenvalues / 17:
Complexification and Decomplexification / 18:
Linear Equations with a Complex Phase Space / 19:
Complexification of a Real Linear Equation / 20:
Classification of Singular Points of Linear Systems / 21:
Topological Classification of Singular Points / 22:
Stability of Equilibrium Positions / 23:
The Case of Purely Imaginary Eigenvalues / 24:
The Case of Multiple Eigenvalues / 25:
More on Quasi-Polynomials / 26:
Nonautonomous Linear Equations / 27:
Linear Equations with Periodic Coefficients / 28:
Variation of Constants / 29:
Proofs of the Basic Theorems
Contraction Mappings / 30:
The Existence, Uniqueness, and Continuity Theorems / 31:
The Differentiable Manifolds / 33:
The Tangent Bundle. Vector Fields on a Manifold / 34:
The Phase Flow Determined by a Vector Field / 35:
The Index of a Singular Point of a Vector Field / 36:
Sample Examination Problems
Bibliography
Index
Preface
Frequently Used Notation
Basic Concepts / 1:
10.

図書

図書
Ivar Stakgold
出版情報: New York : Wiley, c1979  xv, 638 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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11.

図書

図書
[by] P. M. Cohn
出版情報: London ; New York : Academic Press, 1971  xvi, 346 p. ; 24 cm
シリーズ名: L.M.S. monographs ; 2
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12.

図書

図書
Robert C. Gunning, general editor
出版情報: Princeton, N.J. : Princeton University Press, 1970  x, 351 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 31
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13.

図書

図書
Robert C. Gunning
出版情報: Berlin ; New York : Springer-Verlag, 1976  xii, 165 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 91
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14.

図書

図書
Jack Hale
出版情報: New York : Springer-Verlag, c1977  x, 365 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 3
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15.

図書

図書
Siegfried Flügge
出版情報: Berlin ; New York : Springer-Verlag, 1971  2 v. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 177-178
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16.

図書

図書
Jöran Bergh, Jörgen Löfström
出版情報: Berlin : Springer-Verlag, 1976  x, 207 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 223
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17.

図書

図書
Max D. Larsen, Paul J. McCarthy
出版情報: New York ; London : Academic Press, 1971  xiv, 298 p. ; 24cm
シリーズ名: Pure and applied mathematics ; 43
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18.

図書

図書
Ernst-August Behrens ; translated by Clive Reis
出版情報: New York : Academic Press, 1972  vii, 320 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v.44
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19.

図書

図書
Ronald G. Douglas
出版情報: New York : Academic Press, 1972  xvi, 216 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; 49
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20.

図書

図書
J.H. Wilkinson, C. Reinsch ; chief editor, F.L. Bauer
出版情報: Berlin ; New York : Springer-Verlag, 1971  viii, 439 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 186 . Handbook for automatic computation ; v. 2
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21.

図書

図書
Paul J. Kelly, Max L. Weiss
出版情報: New York : Wiley, c1979  x, 261 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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22.

図書

図書
edited by Garrett Birkhoff ; with the assistance of Uta Merzbach
出版情報: Cambridge, Mass. : Harvard University Press, 1973  xii, 470 p. ; 26 cm
シリーズ名: Source books in the history of the sciences
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目次情報: 続きを見る
Foundations of Real Analysis / Part 1:
Cauchy's Partial Rigorization / A:
Cauchy on Limits and Continuity / 1a:
Cauchy on convergence / 1b:
Cauchy on the Radius of Convergence / 1c:
Cauchy on the Derivative as a Limit / 2:
Cauchy on Maclaurin's Theorem / 3:
Cauchy-Moigno on the Fundamental Theorem of the Calculus / 4:
Continuity and Integrability / B:
Bolzano on Continuity and Limits / 5:
Riemann on Fourier Series and the Riemann Integral / 6:
Heine Discusses Fourier Series / 7a:
Heine on the Foundations of Function Theory / 7b:
Stieltjes on the Stieltjes Integral / 8:
Foundations of Complex Analysis / Part 2:
Early Developments
Cauchy's Integral Theorem / 9:
Cauchy's Integral Formula / 10:
Cauchy's Calculus of Residues / 11:
Cauchy on Liouville's Theorem / 13a:
Jordan on Liouville's Theorem / 13b:
Riemann's Influence
Riemann on the Cauchy-Riemann Equations / 13:
Riemann on Riemann Surfaces / 14:
Schwarz on Conformal Mapping / 15:
Convergent Expansions / Part 3:
The Convergence of Power Series
Gauss on the Hypergeometric Series / 16:
Abel on the Binomial Series / 17:
The Influence of Weierstrass
Weierstrass on Analytic Functions of several Variables / 18:
Picard on Picard's Theorem / 19:
Weierstrass on Infinite Products / 20a:
Mittag-Leffier's Theorem / 20b:
Asymptotic Expansions / Part 4:
Analytic Number Theory
Riemann on the Riemann Zeta Function / 21:
Hadamard on the Distribution of Primes / 22:
Asymptotic Series
Stirling's Formula / 23:
Laplace on Generating Functions / 24:
Abel on the Laplace Transform / 25:
Poincare on Asymptotic Series / 26:
Lereh on Lerch's Theorem / 27:
Fourier Series and Integrals / Part 5:
Fourier Series
Fourier on Heat Flow in a Slab / 28:
Fourier on Expansions in Sine Series / 29a:
Fourier on Heat Flow in a Ring / 29b:
Dirichlet on the Convergence of Fourier Series / 30:
Wilbraham on the Gibbs Phenomenon / 31:
Fejre on the Convergence of Fourier Series / 32:
The Fourier Integral
Cauchy on the Fourier Integral / 33a-b:
Fourier on the Fourier Integral / 34:
Cauchy on Linear Partial Differential Equations with Constant Coefficients / 35:
Elliptic and Abelian Integrals / Part 6:
Legendre on Elliptic Integrals / 36:
Abel's Addition Theorem / 37:
Abel on Hyperelliptic Integrals / 38:
Riemann on Abelian Integrals / 39a:
Roch on the Riemann-Roch Theorem / 39b:
Elliptic and Automorphic Functions / Part 7:
Elliptic and Hyperelliptic Functions
Abel on Elliptic Functions / 40:
Jacobi on Elliptic Functions / 41:
Jacobi on Some Identities / 42:
Jacobi on the Jacobi Theta Functions / 43:
Weierstrass's Al Functions / 44:
Automorphic Functions
Poincare on Automorphic Functions / 45:
Klein on Fundamental Regions of Discontinuous Groups / 46:
Ordinary Differential Equations. I. / Part 8:
Existence and Uniqueness Theorems
Cauchy on the Cauchy Polygon Method / 47:
Lipschitz on the Lipschitz Condition / 48:
Picard on the Picard Method / 49:
Osgood's Existence Theorem / 50:
Sturm-Liouville Theory
Storm on Sturm's Theorems / 51:
Liouville on Sturm-Liouville Expansions. I. / 52:
Liouville on Sturm-Liouville Expansions. II. / 53:
Ordinary Differential Equations. II. / Part 9:
Regular Singular Points
Fuchs on Isolated Singular Points / 54:
Frobenius on Regular Singula / 55:
Foundations of Real Analysis / Part 1:
Cauchy's Partial Rigorization / A:
Cauchy on Limits and Continuity / 1a:
23.

図書

図書
Keiô Nagami ; with an appendix by Yukihiro Kodama
出版情報: New York : Academic Press, 1970  xi, 256 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 37
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24.

図書

図書
Sterling K. Berberian
出版情報: New York ; Berlin ; Tokyo : Springer, c1974  ix, 345 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 15
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25.

図書

図書
Edwin Hewitt, Kenneth A. Ross
出版情報: Berlin ; New York : Springer-Verlag, 1979  viii, 519 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 115 . Abstract Harmonic analysis ; v. 1
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26.

図書

図書
Saunders Mac Lane
出版情報: Berlin ; New York : Springer-Verlag, 1975  x, 422 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 114
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27.

図書

図書
Renfrey B. Potts, Robert M. Oliver
出版情報: New York : Academic Press, 1972  xi, 192 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 90
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28.

図書

図書
C. Hooley
出版情報: Cambridge, [Eng.] ; New York : Cambridge University Press, c1976  xiv, 122 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; 70
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29.

図書

図書
Morris W. Hirsch and Stephen Smale
出版情報: New York : Academic Press, c1974  xi, 358 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 60
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目次情報: 続きを見る
Preface
First Examples
Newton's Equation and Kepler's Law
Linear Systems with Constant Coeffecients and Real Eigenvalues
Linear Systems with Constant Coefficients and Complex Eigenvalues
Linear Systems and Exponentials of Operators
Linear Systems and Canonical Forms of Operators
Contractions and Generic Properties of Operators
Fundamental Theory
Stability of Equilibria
Differential Equations for Electrical Circuits
The Poincare-Bendixson Theorem
Ecology
Periodic Attractors
Classical Mechanics
Nonautonomous Equations and Differentiability of Flows
Perturbation Theory and Structural Stability
Elementary Facts
Polynomials
On Canonical Forms
The Inverse Function Theorem
References
Answers to Selected Problems
Index
Preface
First Examples
Newton's Equation and Kepler's Law
30.

図書

図書
G. Pólya, G. Szegö ; translation by D. Aeppli
出版情報: Berlin ; New York : Springer, 1972  xix, 389 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 193 . Problems and theorems in analysis ; v. 1
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31.

図書

図書
A.S.B. Holland
出版情報: New York : Academic Press, 1973  x, 221 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 56
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32.

図書

図書
D.V. Widder
出版情報: New York : Academic Press, 1975  xiv, 267 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 67
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33.

図書

図書
Nelson Dunford and Jacob T. Schwartz ; with the assistance of William G. Bade and Robert G. Bartle
出版情報: New York : Interscience Publishers, 1971  xix p., p. 1925-2592 ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 7 . Linear operators ; pt. 3
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34.

図書

図書
Irving Ezra Segal
出版情報: New York : Academic Press, 1976  ix, 204 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 68
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35.

図書

図書
T. Benny Rushing
出版情報: New York : Academic Press, 1973  xiii, 316 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 52
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36.

図書

図書
William H. Reid, editor
出版情報: Providence, R.I. : American Mathematical Society, 1971  vii, 370 p. ; 24 cm
シリーズ名: Lectures in applied mathematics ; v. 14 . Mathematical problems in the geophysical sciences ; 2
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37.

図書

図書
B. Schoeneberg ; translated from the German by J.R. Smart and E.A. Schwandt
出版情報: Berlin ; New York : Springer, 1974  viii, 232 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 203
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38.

図書

図書
V.M. Popov ; [translated by Radu Georgescu]
出版情報: Berlin ; New York : Springer , Bucureşti : Editura Academiei, 1973  400 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 204
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39.

図書

図書
S.M. Nikolʹskiĭ ; translated from the Russian by J.M. Danskin
出版情報: Berlin : New York : Springer-Verlag, 1975  viii, 420 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 205
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40.

図書

図書
[by] B.L. van der Waerden
出版情報: Berlin ; New York : Springer-Verlag, 1974  viii, 211 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 214
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41.

図書

図書
G. Duvaut, J.L. Lions ; translated from the French by C.W. John
出版情報: Berlin ; New York : Springer-Verlag, 1976  xvi, 397 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 219
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42.

図書

図書
Colin C. Graham, O. Carruth McGehee
出版情報: New York ; Berlin : Springer-Verlag, c1979  xxi, 464 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 238
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43.

図書

図書
Ivan Singer
出版情報: Berlin ; New York : Springer-Verlag, 1970  viii, 668 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 154
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44.

図書

図書
[edited by] David Smith, Nathan Keyfitz
出版情報: Berlin ; New York : Springer-Verlag, 1977  xi, 514 p. ; 25 cm
シリーズ名: Biomathematics ; v. 6
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45.

図書

図書
D.S. Mitrinović ; in cooperation with P.M. Vasić
出版情報: Berlin ; New York : Springer-Verlag, 1970  xi, 400 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 165
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46.

図書

図書
V.P. Palamodov ; translated by A.A. Brown
出版情報: Berlin : Springer-Verlag, 1970  viii, 443 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 168
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47.

図書

図書
Ivan Singer ; [translated by Radu Georgescu]
出版情報: Bucharest : Pub. House of the Academy of the Socialist Republic of Romania , Berlin ; New York : Springer, 1970  415 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 171
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48.

図書

図書
Ronald Larsen
出版情報: Berlin ; New York : Springer, 1971  xx, 282 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 175
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49.

図書

図書
H. Grauert, R. Remmert ; unter Mitarbeit von O. Riemenschneider
出版情報: Berlin ; New York : Springer-Verlag, 1971  ix, 240 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 176
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50.

図書

図書
N.S. Landkof ; translated from the Russian by A.P. Doohovskoy
出版情報: Berlin ; New York : Springer-Verlag, 1972  x, 424 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 180
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