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1.

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1. Resolution of singularities : a research textbook in tribute to Oscar Zariski : based on the courses given at the working week in Obergurgl, Austria, September 7-14, 1997
H. Hauser ... [et al.], editors
出版情報: Basel ; Boston : Birkhäuser, c2000  xxi, 598 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 181
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2.

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2. Mechanik
bearbeitet und kommentiert von D. Speiser ... [et al.] ; mit Beiträgen von H. Straub
出版情報: Basel ; Boston : Birkhäuser, 1987  xxvii, 457 p. ; 27 cm
シリーズ名: Die gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli / herausgegeben von der Naturforschenden Gesellschaft in Basel ; . { Die Werke / von Daniel Bernoulli ; im Auftrag der Naturforschenden Gesellschaft Basel und der Otto-Spiess-Stiftung ; ediert von David Speiser } ; Bd. 3
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3.

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3. Transactions of the Fourth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, held at Prague, from 31st August to 11th September 1965
edited by Academician Jaroslav Kožešník ; editorial board, Miloslav Driml ... [et al.]
出版情報: Prague : Academia, Pub. House of the Czechoslovak Academy of Sciences, 1967  725 p. ; 25 cm
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4.

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図書
4. Advances in Hamiltonian systems (: Boston : Basel : Stuttgart)
J.P. Aubin, A. Bensoussan, I. Ekeland, editors
出版情報: Boston : Birkhäuser, 1983  viii, 195 p. ; 24 cm
シリーズ名: Annals of the C.E.R.E.M.A.D.E
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目次情報: 続きを見る
Recent advances in the study of the existence of periodic orbits of Hamiltonian systems / by Antonio Ambrosetti
The direct method in the study of periodic solutions of Hamiltonian systems with prescribed period / by V. Benci
Periodic solutions of Hamiltonian systems having prescribed minimal period / by Giovanni Mancini
Duality in non convex variational problems / by Ivar and Jean-Michel Lasry
La théorie de la seconde variation et le problème linéaire quadratique / by Pierre Bernhard
Méthodes asymptotiques dans l'étude de systemes hamiltoniens non autonomes / by Joël Blot
Numerical research of periodic solutions for a Hamiltonian system / by Erick Gaussens
Recent advances in the study of the existence of periodic orbits of Hamiltonian systems / by Antonio Ambrosetti
The direct method in the study of periodic solutions of Hamiltonian systems with prescribed period / by V. Benci
Periodic solutions of Hamiltonian systems having prescribed minimal period / by Giovanni Mancini
5.

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5. Collected papers (: set ; v. 1 : sz ; v. 2 : sz)
Lars Valerian Ahlfors ; Rae Michael Shortt, assistant editor
出版情報: Boston ; Basel : Birkhäuser, 1982  2 v. ; 26 cm
シリーズ名: Contemporary mathematicians
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6.

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6. Partial differential equations : papers presented at Stefan Banach International Mathematical Center at the Semester "Partial Differential Equations," held September 11-December 16, 1978
editor of the volume, Bogdan Bojarski
出版情報: Warszawa : PWN-Polish Scientific Publishers, 1983  422 p. ; 25 cm
シリーズ名: Banach Center publications ; v. 10
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7.

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7. Sets, numbers, and universes : selected works
Stanislaw Ulam ; edited by W.A. Beyer, J. Mycielski, and G.-C. Rota
出版情報: Cambridge, Mass. : MIT Press, c1974  xxiii, 709 p. ; 26 cm
シリーズ名: Mathematicians of our time ; v. 9
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8.

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8. Contributions to applied statistics : dedicated to Professor Arthur Linder [on the occasion of his 70th birthday]
edited by Walter Joh[ann] Ziegler
出版情報: Basel ; Stuttgart : Birkhäuser, 1976  262 p. ; 25 cm
シリーズ名: Experientia supplementum ; Bd. 22
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9.

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9. Beiträge zur statistischen Mechanik = Contributions to statistical mechanics
Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften = Erwin Schrödinger ; published by the Austrian Academy of Sciences
出版情報: Wien : Verlag der Österreichischen Akademie der Wissenschaften , Braunschweig : F. Vieweg, 1984  xii, 547 p. ; 25 cm
シリーズ名: Gesammelte Abhandlungen = Collected papers / Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften ; Bd. 1
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10.

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10. Beiträge zur Feldtheorie = Contributions to field theory
Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften = Erwin Schrödinger ; published by the Austrian Academy of Sciences
出版情報: Wien : Verlag der Österreichischen Akademie der Wissenschaften , Braunschweig : F. Vieweg, 1984  xiii, 699 p. ; 25 cm
シリーズ名: Gesammelte Abhandlungen = Collected papers / Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften ; Bd. 2
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11.

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11. Beiträge zur Quantentheorie = Contributions to quantum theory
Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften = Erwin Schrödinger ; published by the Austrian Academy of Sciences
出版情報: Wien : Verlag der Österreichischen Akademie der Wissenschaften , Braunschweig : F. Vieweg, 1984  xii, 761 p. ; 25 cm
シリーズ名: Gesammelte Abhandlungen = Collected papers / Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften ; Bd. 3
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12.

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12. Allgemein wissenschaftliche und populäre Aufsätze = General scientific and popular papers
Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften = Erwin Schrödinger ; published by the Austrian Academy of Sciences
出版情報: Wien : Verlag der Österreichischen Akademie der Wissenschaften , Braunschweig : F. Vieweg, 1984  xii, 649 p. ; 25 cm
シリーズ名: Gesammelte Abhandlungen = Collected papers / Erwin Schrödinger ; herausgegeben von der Österreichischen Akademie der Wissenschaften ; Bd. 4
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13.

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13. General inequalities 4 : in memoriam Edwin F. Beckenbach : 4th International Conference on General Inequalities, Oberwolfach, May 8-14, 1983
edited by W. Walter
出版情報: Basel : Birkhäuser Verlag, 1984  xxi, 434 p. ; 24 cm
シリーズ名: International series of numerical mathematics ; v. 71
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14. Deformazioni delle quadriche : teoria delle trasformazioni delle superficie applicabili sulle quadriche (pt. 1 ; pt. 2)
Luigi Bianchi
出版情報: Roma : Edizioni cremonese, 1956  2 v. ; 26 cm
シリーズ名: Opere : a cura dell'Unione matematica italiana e col contributo del consiglionazionale delle ricerche / Luigi Bianchi ; v. 4
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15.

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15. Proceedings of the International Congress of Mathematicians (v. 1 ; v. 2)
[editor, Ralph D. James]
出版情報: [Vancouver] : [Canadian Mathematical Congress], c1975  2 v. ; 24 cm
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16.

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16. Zum Werk Leonhard Eulers : Vorträge des Euler-Kolloquiums im Mai 1983 in Berlin
herausgegeben von E. Knobloch, I.S. Louhivaara, J. Winkler
出版情報: Basel : Birkhäuser, 1984  xi, 238 p. ; 24 cm
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17.

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17. Proceedings of the International Mathematical Congress, held in Toronto, August 11-16, 1924 (v. 1 ; v. 2)
edited by J. C. Fields, with the collaboration of an editorial committee
出版情報: Toronto : University of Toronto Press, 1928  2 v. ; 25 cm
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目次情報:
v. 1.Report of the congress. Lectures. Communications to sections 1 and 2
v. 2.Communications to sections 3-6.
v. 1.Report of the congress. Lectures. Communications to sections 1 and 2
v. 2.Communications to sections 3-6.
18.

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18. Verhandlungen des dritten internationalen Mathematiker-Kongresses, in Heidelberg vom 8. bis 13. August 1904
herausgegeben von A. Krazer
出版情報: Nendeln/Liechtenstein : Kraus Reprint, 1967  x, 755 p ; 25 cm
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19.

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19. Verhandlungen des internationalen Mathematiker-Kongresses, Zürich, 1932 (Bd. 1-2)
International Congress of Mathematicians
出版情報: Nendeln/Liechtenstein : Kraus Reprint, 1967  335, xix, 367 p ; 25 cm
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目次情報:
1.Band. Bericht und allgemeine Vorträge
2.Band. Sektions-Vorträge
1.Band. Bericht und allgemeine Vorträge
2.Band. Sektions-Vorträge
20.

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20. Compte rendu du deuxième congrès international des mathématiciens : tenu à Paris du 6 au 12 aout 1900 : procès-verbaux et communications
publiés par E. Duporcq
出版情報: Nendeln, Liechtenstein : Kraus Reprint, 1967  455 p. ; 25 cm
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21.

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21. Atti del IV congresso internazionale dei matematici, (Roma, 6-11 Aprile 1908) (v. 1-2 ; v. 3)
International Congress of Mathematicians
出版情報: Nendeln/Liechtenstein : Kraus Reprint, 1967  2 v ; 25 cm
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目次情報:
v. 1. Relazione sul congresso - discorsi e conferenze
v. 2. Comunicazioni delle sezioni 1 e 2
v. 3. Comunicazioni delle sezioni 3-a, 3-b e 4
v. 1. Relazione sul congresso - discorsi e conferenze
v. 2. Comunicazioni delle sezioni 1 e 2
v. 3. Comunicazioni delle sezioni 3-a, 3-b e 4
22.

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22. Труды международного конгресса математиков (Москва - 1966) = Proceedings of International Congress of Mathematicians (Moscow - 1966) = Travaux du congrès international des mathématiciens (Moscou - 1966) = Berichte des internationalen Mathematiker-Kongresses (Moskau - 1966)
International Congress of Mathematicians
出版情報: Nendeln/Liechtenstein : Kraus Reprint, 1979  726 p ; 25 cm
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23.

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23. A Fête of topology : papers dedicated to Itiro Tamura
edited by Y. Matsumoto, T. Mizutani, S. Morita
出版情報: Boston ; Tokyo : Academic Press, c1988  xii, 602 p. ; 24 cm
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24.

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24. Comportement chaotique des systèmes déterministes : Les Houches, session XXXVI, 29 juin-31 juillet 1981 = Chaotic behaviour of deterministic systems
édité par Gérard Iooss, Robert H.G. Helleman, Raymond Stora
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York, N.Y. : Sole distributors for the USA and Canada, Elsevier Science Pub. Co., 1983  xxxi, 708 p., [1] leaf of plates ; 23 cm
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25.

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25. Equations différentielles ordinaires : cours inédit : fragment = Ordinary differential equations : unpublished course : fragment (: Études vivantes ; : Johnson Reprint Corp)
Augustin Louis Cauchy ; introduction, Christian Gilain ; préface, Jean Dieudonné
出版情報: Paris : Etudes vivantes , New York : Johnson Reprint Corp., c1981  lvi, 146 p. ; 25 cm
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26.

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26. E. W. Beth Memorial Colloquium : logic and foundations of science : Paris, Institut Henri Poincaré, 19-21 May 1964
edited by Jean-Louis Destouche
出版情報: Dordrecht : D. Reidel, 1967  viii, 137 p., [1] leaf of plates ; 23 cm
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27.

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27. Approximations Diophantiennes et Nombres Transcendants : Colloque de Luminy, 1982
D. Bertrand, M. Waldschmidt, editors
出版情報: Boston : Birkhäuser, 1983  vi, 336 p. ; 24 cm
シリーズ名: Progress in mathematics ; Vol. 31
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28.

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28. Linear operators and approximation II : proceedings of the conference held at the Oberwolfach Mathematical Research Institute, Black Forest, March 30-April 6, 1974 = Lineare Operatoren und Approximation II : Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 30. März bis 6. April 1974
edited by P.L. Butzer and B. Szőkefalvi-Nagy
出版情報: Basel : Birkhäuser, 1974  585 p. ; 25 cm
シリーズ名: International series of numerical mathematics ; v. 25
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29.

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29. Studies on Abelian groups : Études sur les groupes Abéliens. Symposium on the theory of Abelian groups, held at Montpellier University in June 1967
Edited by B. Charles
出版情報: Berlin ; New York : Springer , Paris : Dunod, (1968)  356 p ; 25 cm
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30.

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30. Collected papers (set ; pt.1 ; pt.2)
Karol Borsuk
出版情報: Warszawa : PWN, Polish Scientific Publishers, 1983  2 v. (xxiv, 1357 p.) ; 25 cm
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31.

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31. Proceedings of the International Congress of Mathematicians, August 3-11, 1986 (v. 1 ; v. 2)
[edited by Andrew M. Gleason]
出版情報: [Providence, R.I.] : American Mathematical Society, c1987  2 v. (ci, 1708 p.) ; 26 cm
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32.

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32. Gesammelte Abhandlungen (Bd. 1 - Bd. 4)
Hermann Weyl ; herausgegeben von K. Chandrasekharan
出版情報: Berlin ; New York : Springer-Verlag, 1968  4 v. ; 26 cm
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33. Early papers : general papers
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988  xxiii, 364 p. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah ; v. 1
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目次情報: 続きを見る
Early Papers
A note on the tangents of a twisted cubic
Complex fibre bundles and ruled surfaces
Formes de seconde espFce sur une variTtT algebrique
Integrals of the secon kind on an algebraic variety
On the Krull-Schmidt theorem with application to sheaves
Complex analytical connections in fibre bundles
Vector bundles over an elliptic curve
On analytical surfaces with double points
Some examples of complex manifolds
General Papers
The role of algebraic topology in mathematics
Wandel und Fortschritt in der Mathematik
How research is carried out
Global geometry
William Vallance Douglas Hodge 1903-1975
Singularities of functions
Trends in pure mathematics
The unity of mathematics
What is geometry?
An interview with Michael Atiyah
Speech on conferment of the Feltrinelli Prize
Geometry and analysis in the nineteen-eighties
Mathematics and the computer revolution: (a) Nuova civilta delle macchine, II (b) The influence of computers and informatics on mathematics and its teaching
Indentifying progress in mathematics. of mathematics
Early Papers
A note on the tangents of a twisted cubic
Complex fibre bundles and ruled surfaces
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34. K-Theory
Michael Atiyah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1988, c1987  xxiii, 829 p. ; 26 cm
シリーズ名: Oxford science publications ; . Collected works / Michael Atiyah ; v. 2
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目次情報: 続きを見る
Early Papers on K-Theory / Part 3：
Riemann-Roch Theorems for Differentiable Manifolds / 24：
Quelques Theoremes de Non-Plongement pour les Varietes / 25：
On Complex Stiefel Manifolds / 26：
Bott Periodicity and the Parallelizability of the Spheres / 27：
Vector Bundles and Homogeneous Spaces / 28：
Characters and Cohomology of Finite Groups / 29：
Cohomologie-Operationen und Charakteristische Klassen / 30：
Charakteristische Klassen und Andwendungen / 31：
Immersions and Embeddings of Manifolds / 32：
Vector Bundles and the Kunneth Formula / 33：
Bordism and Cobordism / 34：
Thom Complexes / 35：
Analytic Cycles on Complex Manifolds / 36：
The Riemann-Roch Theorem for Analytic Embeddings / 37：
The Grothendieck Ring in Geometry and Topology / 38：
Clifford Modules / 39：
On the Periodicity Theorem for Complex Vector Bundles / 40：
On the K-Theory of Compact Lie Groups / 41：
K-Theory and the Hopf Invariant / 42：
K-Theory and Reality / 43：
Power Operations in K-Theory / 44：
K-Theory / 45：
Bott Periodicity and the Index of Elliptic Operators / 46：
Group Representations / 47：
Algebraic Topology of Operators in Hilbert Space / 48：
Equivariant K-Theory and Completion / 49：
Vector Fields on Manifolds / 50：
Exponential Isomorphisms for Lamda Rings / 51：
Vector Fields with Finite Singularities / 52：
Elliptic Operators and Singularities of Vector Fields / 53：
Compact Lie Groups and the Stable Homotopy of Spheres / 54：
A Survey of K-Theory / 55：
Early Papers on K-Theory / Part 3：
Riemann-Roch Theorems for Differentiable Manifolds / 24：
Quelques Theoremes de Non-Plongement pour les Varietes / 25：
35.

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35. Œuvres scientifiques = Collected papers (: set : us - v. 3. 1964-1978)
André Weil
出版情報: New York : Springer-Verlag, c1979  3 v. ; 25 cm
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36.

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36. Gesammelte Abhandlungen = Collected papers (: set : U.S. - Bd. 2)
Friedrich Hirzebruch
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  2 v. ; 25 cm
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37.

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37. Séminaire de théorie des nombres, Paris : Séminaire Delange-Pisot-Poitou (1979-80 - 1991-92 : sz)
Catherine Goldstein, editor
出版情報: Boston : Birkhäuser, [1981-1993]  v. ; 24 cm
シリーズ名: Progress in mathematics ; 12, 22, 38, 51, 59, 63, 71, 75, 81, 91, 102, 108, 116
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38.

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38. Numerical analysis of variational inequalities
Roland Glowinski, Jacques-Louis Lions, Raymond Trémolières
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1981  xxix, 776 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 8
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39.

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39. Selecta (: Germany)
Beno Eckmann ; edited by Max-Albert Knus, Guido Mislin and Urs Stammbach
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  xii, 835 p. ; 25 cm
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40.

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40. Œuvres = Collected papers (: set : Berlin - v. 4)
Armand Borel
出版情報: Berlin : Springer-Verlag, 1983-  v. ; 25 cm
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目次情報:
Papers by Armand Borel published from 1983 to 1999.
Papers by Armand Borel published from 1983 to 1999.
41.

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41. Number theory
edited by P. Turán
出版情報: Amsterdam : North-Holland Pub. Co, c1970  244 p. ; 25 cm
シリーズ名: Colloquia Mathematica Societatis János Bolyai ; 2
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42.

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42. Collected mathematical papers (set - Vol. 6 : us)
Alexander Ostrowski
出版情報: Basel ; Boston : Birkhäuser Verlag, 1983-1985  v. ; 24 cm
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目次情報: 続きを見る
v. 1. Determinants. Linear algebra. Algebraic equations
v. 2. Multivariate algebra. Formal algebra
v. 3. Number theory. Geometry. Topology. Convergence
v. 4. Real function theory. Differential equations. Differential transformations
v. 5. Complex function theory
v. 6. Conformal mapping. Numerical analysis. Miscellany
v. 1. Determinants. Linear algebra. Algebraic equations
v. 2. Multivariate algebra. Formal algebra
v. 3. Number theory. Geometry. Topology. Convergence
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43. The collected papers of Teiji Takagi
edited by Sigekatu Kuroda
出版情報: [Tokyo] : Iwanami Shoten, 1973  xiv, 266 p. ; 27 cm
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44. Œuvres = Collected works (: set: us - v. 3)
Henri Cartan ; edited by R. Remmert and J.-P. Serre
出版情報: Berlin ; New York : Springer-Verlag, 1979  3 v. (xxix, 1469 p., [3] leaves of plates) ; 25 cm
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45. The Mandelbrot set, theme and variations (: pbk)
edited by Tan Lei
出版情報: Cambridge : Cambridge University Press, 2000  xx, 365 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 274
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目次情報: 続きを見る
Introduction / L. Tan
Preface / J. Hubbard
The Mandelbrot set is universal / C. McMullen
Baby Mandelbrot sets are born in cauliflowers / A. Douady ; X. Buff ; R. Devaney ; P. Sentenac
Modulation dans l'ensemble de Mandelbrot / P. Haissinsky
Local connectivity of Julia sets: expository lectures / J. Milnor
Holomorphic motions and puzzles (following M. Shishikura) / P. Roesch
Local properties of the Mandelbrot set at parabolic points
Convergence of rational rays in parameter spaces / C. Petersen ; G. Ryd
Bounded recurrence of critical points and Jakobson's Theorem / S. Luzzatto
The Herman-Swiatek Theorems with applications
Perturbation d'une fonction linearisable / H. Jellouli
Indice holomorphe et multiplicateur
An alternative proof of Mane's theorem on non-expanding Julia sets / M. Shishikura
Geometry and dimension of Julia sets / Y.-C. Yin
On a theorem of M. Rees for the matings of polynomials
Le theoreme d'integrabilite des structures presque complexes
Bifurcation of parabolic fixed points
References
Introduction / L. Tan
Preface / J. Hubbard
The Mandelbrot set is universal / C. McMullen
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46. Interactions between ring theory and representations of algebras : proceedings of the conference held in Murcia, Spain
edited by Freddy Van Oystaeyen, Manuel Saorin
出版情報: New York : Marcel Dekker, c2000  viii, 449 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 210
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目次情報: 続きを見る
Preface
Contributors
Global Krull Dimension / Toma Albu ; Patrick F. Smith1.：
Derivations de la n-ieme algebre de Weyl quantique multiparametree / L'Moufadal Ben Yakoub2.：
Tensor Hochschild Homology and Cohomology / Claude Cibils3.：
Generalized Path Algebras / Flavio Ulhoa Coelho ; Shao-Xue Liu4.：
Representations and Corepresentations of Hopf Algebras / Miriam Cohen5.：
Cotilting Bimodules and Their Dualities / Riccardo Colpi6.：
Finding Splitting Elements and Maximal Tori in Matrix Algebras / Willem A. de Graaf ; Gabor Ivanyos7.：
Cohen-Macaulay Modules and Vector Bundles / Yuri A. Drozd8.：
A Note on Filtrations and Valuations for Ordered Groups / Maha Helmy Ibrahim El Baroudy ; Freddy van Oystaeyen9.：
A Survey of Covers and Envelopes / Edgar E. Enochs ; Overtoun M. G. Jenda10.：
On D-Gorenstein Modules / 11.：
Skew Polynomial Rings with Wide Family of Prime Ideals / Miguel Ferrero ; Jerzy Matczuk12.：
On Auslander-Reiten Systems via Tensor Product / Odile Garotta13.：
On a Projective Version of Maranda's Theorem / Yuval Ginosar ; Uri Onn14.：
Chain Conditions on Direct Summands and Pure Quotient Modules / Jose L. Gomez Pardo ; Pedro A. Guil Asensio15.：
Prime Spectra of Quantized Coordinate Rings / K. R. Goodearl16.：
Prime Ideals in Certain Quantum Determinantal Rings / T. H. Lenagan17.：
Noetherian Semigroup Algebras: A Survey / Eric Jespers ; Jan Okninski18.：
On the Recognition Problem of the Irreducibility for A[subscript 1](k)-Modules nd Their Characteristic Varieties / Huishi Li ; Lu Chen19.：
The Construction of a Generator for R-DMod / Leandro Marin20.：
A Lattice Invariant for Modules / Barbara L. Osofsky21.：
Unit Groups of Lie Centre-by-Metabelian Group Algebras / Richard Rossmanith22.：
Covers and Envelopes in Functor Categories / Manuel Saorin ; Alberto Del Valle23.：
Faithful Flatness over Hopf Subalgebras: Counterexamples / Peter Schauenburg24.：
Cohen-Macaulay Modules over Classical Orders / Daniel Simson25.：
On Associated Primes and Weakly Associated Primes / Boris Sirola26.：
On Kaplansky's Conjectures / Yorck Sommerhauser27.：
The Duality Theorem for Coactions of Multiplier Hopf Algebras / Alfons van Daele ; Yinhuo Zhang28.：
Static Modules and Equivalences / Robert Wisbauer29.：
Preface
Contributors
Global Krull Dimension / Toma Albu ; Patrick F. Smith1.：
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47. Aspects topologiques de la physique en basse dimension : Les Houches, session LXIX, 7-31 July 1998 = Topological aspects of low dimensional systems (: Springer ; : EDP sciences)
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報: Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999  xxxiv, 909 p. ; 23 cm
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目次情報: 続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1：
Introduction / 1：
Samples and measurements / 2：
2D electrons at the GaAs/AlGaAs interface / 2.1：
Magnetotransport measurement techniques / 2.2：
Ground states of the 2D System in a strong magnetic field / 3：
Shubnikov-de Haas oscillations and the IQHE / 3.1：
FQHE and Wigner crystal / 3.2：
Composite fermions / 4：
Ferromagnetic state at ν = 1 and Skyrmions / 5：
Correlated bilayer electron states / 6：
Overview / 6.1：
Electron System in a wide, single, quantum well / 6.2：
Evolution of the QHE states in a wide quantum well / 6.3：
Evolution of insulating phases / 6.4：
Many-body, bilayer QHE at ν = 1 / 6.5：
Spontaneous interlayer Charge transfer / 6.6：
Summary / 6.7：
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2：
The quantum Hall effect
Why 2D is important / 1.1：
Constructing the 2DEG / 1.3：
Why is disorder and localization important? / 1.4：
Classical dynamics / 1.5：
Semi-classical approximation / 1.6：
Quantum dynamics in strong B Fields / 1.7：
IQHE edge states / 1.8：
Semiclassical percolation picture / 1.9：
Fractional QHE / 1.10：
The ν = 1 many-body state / 1.11：
Neutral collective excitations / 1.12：
Charged excitations / 1.13：
FQHE edge states / 1.14：
Quantum hall ferromagnets / 1.15：
Coulomb exchange / 1.16：
Spin wave excitations / 1.17：
Effective action / 1.18：
Topological excitations / 1.19：
Skyrmion dynamics / 1.20：
Skyrme lattices / 1.21：
Double-layer quantum Hall ferromagnets / 1.22：
Pseudospin analogy / 1.23：
Experimental background / 1.24：
Interlayer phase coherence / 1.25：
Interlayer tunneling and tilted field effects / 1.26：
Lowest Landau level projection / Appendix A：
Berry's phase and adiabatic transport / Appendix B：
Aspects of Chern-Simons Theory / G.V.DunneCourse 3：
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3：
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4：
Poincaré algebra in 2 + 1-dimensions / 2.5：
Nonabelian Chern-Simons theories / 2.6：
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3：
Quantization on the torus and magnetic translations / 3.4：
Canonical quantization of nonabelian Chern-Simons theories / 3.5：
Chern-Simons theories with boundary / 3.6：
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1：
Relativistic Chern-Simons vortices / 4.2：
NonabelianrelativisticChern-Simonsvortices / 4.3：
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4：
NonabeliannonrelativisticChern-Simonsvortices / 4.5：
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6：
Vortex dynamics / 4.7：
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1：
Induced currents and Chern-Simons terms / 5.2：
Induced Chern-Simons terms without fermions / 5.3：
A finite temperature puzzle / 5.4：
Quantum mechanical finite temperature model / 5.5：
Exact finite temperature 2 + 1 effective actions / 5.6：
Finite temperature perturbation theory and Chern-Simons terms / 5.7：
Anyons / J. MyrheimCourse 4：
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7：
The two-dimensional harmonic oscillator / 7.1：
Two anyons in a harmonic oscillator potential / 7.2：
More than two anyons / 7.3：
The three-anyon problem / 7.4：
The anyon gas / 8：
The cluster and virial expansions / 8.1：
First and second order perturbative results / 8.2：
Regularization by periodic boundary conditions / 8.3：
Regularization by a harmonic oscillator potential / 8.4：
Bosons and fermions / 8.5：
Two anyons / 8.6：
Three anyons / 8.7：
The Monte Carlo method / 8.8：
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9：
Exact and approximate polynomials / 8.10：
The fourth virial coefficient of anyons / 8.11：
Two polynomial theorems / 8.12：
Charged particles in a constant magnetic field / 9：
One particle in a magnetic field / 9.1：
Two anyons in a magnetic field / 9.2：
The anyon gas in a magnetic field / 9.3：
Interchange phases and geometric phases / 10：
Introduction to geometric phases / 10.1：
Two particles in a magnetic field / 10.2：
Interchange of two anyons in potential wells / 10.4：
Laughlin's theory of the fractional quantum Hall effect / 10.5：
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5：
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6：
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1：
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7：
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1：
Three dimensions / A.2：
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8：
Lecturers
Participants
Préface
48.

図書
図書
48. Tolfte Skandinaviska matematikerkongressen i Lund 10-15 Augusti 1953 = Comptes rendus du douzième Congrés des mathématiciens Scandinaves tenu à Lund 10-15 août 1953
Scandinavian Congress of Mathematicians
出版情報: Lund : Håkan Ohlssons, 1954  xvi, 337 p. ; 25 cm
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49.

図書
図書
49. Proceedings of the Fifth International Congress of Mathematicians, (Cambridge, 22-28 August 1912) (v. 1 ; v. 2)
edited by E.W. Hobson and A.E.H. Love
出版情報: Cambridge : at the University Press, 1913  2 v. ; 25 cm
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目次情報:
v. 1:pt.1; Report of the congress. pt.2; Lectures. Communications (Sec.1)
v. 2:Communications to sections 2-4
v. 1:pt.1; Report of the congress. pt.2; Lectures. Communications (Sec.1)
v. 2:Communications to sections 2-4
50.

図書
図書
50. Proceedings of the International Congress of Mathematicians : Cambridge, Massachusetts, U.S.A., August 30-September 6, 1950 (v. 1 ; v. 2)
International Congress of Mathematicians
出版情報: Providence, R.I. ; American Mathematical Society, 1952  2 v. ; 26 cm
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