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1.

図書

図書
by W. Michael Kelley
出版情報: New York : Alpha, a member of Penguin Group (USA), c2005  xvii, 333 p. ; 24 cm
シリーズ名: The complete idiot's guide to
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目次情報: 続きを見る
A Preponderance of Prioritized Precalculus Prerequisites / Part 1:
Reviewing Numbers and Arithmetic / 1:
Equations and Inequalities / 2:
Practicing with Polynomials / 3:
Factoring Polynomials / 4:
Rational Expressions and Weird Inequalities / 5:
Functions / 6:
Nonlinear Equations and Functions / Part 2:
High-Powered Functions and Equations / 7:
Logarithmic Functions / 8:
Exponential Functions / 9:
Trigonometry / Part 3:
Tangling with Angles / 10:
Graphing Trigonometric Functions / 11:
Trigonometric Identities / 12:
Solving Trigonometric Equations / 13:
Oblique Triangle Theorems / 14:
Conic Sections / Part 4:
Parabolas and Circles / 15:
Ellipses and Hyperbolas / 16:
Matrices and a Mathematical Montage / Part 5:
Matrix Operations and Calculations / 17:
The Jagged Little Red Pill of Matrix Applications / 18:
Final Exam / 19:
Appendixes
Solutions to "You've Got Problems" Sidebars / A:
Glossary / B:
Index
A Preponderance of Prioritized Precalculus Prerequisites / Part 1:
Reviewing Numbers and Arithmetic / 1:
Equations and Inequalities / 2:
2.

図書

図書
by Carolyn Wheater
出版情報: Indianapolis : Alpha, a member of Penguin Random House LLC, 2015  x, 342 p. ; 24 cm
シリーズ名: Idiot's guides : as easy as it gets!
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3.

図書

図書
Nicolas Bourbaki
出版情報: Paris : Hermann , Reading, Mass. : Addison-Wesley Pub. Co., c1974-  v. ; 24 cm
シリーズ名: Actualités scientifiques et industrielles ; . Elements of mathematics
Adiwes international series in mathematics
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4.

図書

図書
[by] Garrett Birkhoff and Thomas C. Bartee
出版情報: New York : McGraw-Hill, c1970  xi, 431 p. ; 23 cm
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5.

図書

図書
Garrett Birkhoff, Saunders Mac Lane
出版情報: New York : Macmillan, c1965  x, 437 p. ; 25 cm
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6.

図書

図書
Nathan Jacobson
出版情報: San Francisco : W. H. Freeman, [1974]-c1980  2 v. ; 24 cm
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7.

図書

図書
P.M. Cohn
出版情報: Chichester [Sussex] ; New York : J. Wiley, c1982-c1991  3 v. ; 23 cm
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目次情報: 続きを見る
Sets
Lattices
Field Theory
Modules
Rings and Algebras
Quadratic Forms and Ordered Fields
Representation Theory of Finite Groups
Valuation Theory
Commutative Rings
Coding Theory
Languages and Automata
Bibliography
List of Notations
Index
Sets
Lattices
Field Theory
8.

図書

図書
P. M. Cohn
出版情報: Chichester : Wiley, 1974-  v. ; 24 cm
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Sets
Lattices
Field Theory
Modules
Rings and Algebras
Quadratic Forms and Ordered Fields
Representation Theory of Finite Groups
Valuation Theory
Commutative Rings
Coding Theory
Languages and Automata
Bibliography
List of Notations
Index
Sets
Lattices
Field Theory
9.

図書

図書
Ionel Bucur ; translated from the Romanian by Mihnea Moroianu
出版情報: București, Romania : Editura Academiei , Dordrecht ; Boston : D. Reidel , Hingham, MA, U.S.A. : Distributors for the U.S.A. and Canada, Kluwer Academic Publishers, c1984  viii, 406 p. ; 23 cm
シリーズ名: Mathematics and its applications ; East European series
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10.

図書

図書
Danuta Przeworska-Rolewicz
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co , Warszawa : PWN-Polish Scientific Publishers , Norwell, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1988  xvi, 624 p. ; 23 cm
シリーズ名: Mathematics and its applications ; East European series
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11.

図書

図書
[by] Peter Hilton [and] Yel-Chiang Wu
出版情報: New York : Wiley, [1974]  x, 249 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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12.

図書

図書
Seth Warner
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1971  xiii, 520 p ; 24 cm
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13.

図書

図書
[by] Milton D. Eulenberg, Theodore S. Sunko [and] Howard A. James
出版情報: New York : Wiley, [c1975]  xii, 360 p. ; 24 cm
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14.

図書

図書
Jonathan D.H. Smith, Anna B. Romanowska
出版情報: New York : Wiley, c1999  xi, 370 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
Modern and Post-Modern Algebra
Algebra: The Central Discipline of Mathematics
Sets with Structure and Sets Without Structure
Semigroups and Monoids
Group and Quasigroups
Monoid Actions
Groups and Quasigroups
Symmetry
Loops, Nets and Isotopy
Linear Algebra
General Algebra and Linear Algebra
Vector Spaces and Modules
Commutative Algebra
Categories and Lattices
Posets, Monoids and Categories
Limits and Lattices
Adjoint Functors
Universal Algebra
Sets with Operations
Varieties
Algebraic Theories
Monads
Index
Modern and Post-Modern Algebra
Algebra: The Central Discipline of Mathematics
Sets with Structure and Sets Without Structure
15.

図書

図書
edited by Paulo Ribenboim
出版情報: Berlin : Walter de Gruyter, 1999  2 v. ; 25 cm
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Preface / Volume 1:
Acknowledgements
Wolfgang Krull--Life, Work and Influence / P. Ribenboim
In Memoriam Wolfgang Krull / H. Schoneborn
Wolfgang Krulls Arbeiten zur kommutativen Algebra und ihre Bedeutung fur die algebraische Geometrie / H.-J. Nastold
Erinnerungen an Wolfgang Krull / J. Neukirch
Uber Begleitmatrizen und Elementarteilertheorie [1]
Algebraische Theorie der Ringe. I [3]
Ein neuer Beweis fur die Hauptsatze der allgemeinen Idealtheorie [4]
Axiomatische Begrundung der allgemeinen Idealtheorie [5]
Algebraische Theorie der Ringe. II [6]
Algebraische Theorie der zerlegbaren Ringe (Algebraische Theorie der Ringe. III) [7]
Die verschiedenen Arten der Hauptidealringe [8]
Uber Multiplikationsringe (Beitrage zur Algebra 3) [9]
Uber verallgemeinerte endliche Abelsche Gruppen [10]
Theorie und Anwendung der verallgemeinerten Abelschen Gruppen [12]
Idealtheorie der Potenzreihen einer Variabeln mit ganzen algebraischen Zahlkoeffizienten (Beitrage zur Algebra 9) [13]
Algebraische Erweiterungen kommutativer hyperkomplexer Systeme [14]
Galoissche Theorie der unendlichen algebraischen Erweiterungen [17]
Zur Theorie der allgemeinen Zahlringe [18]
Primidealketten in allgemeinen Ringbereichen [19]
Idealtheorie in unendlichen algebraischen Zahlkorpern [20]
Zur Theorie der zweiseitigen Ideale in nichtkommutativen Bereichen [21]
Uber einen Hauptsatz der allgemeinen Idealtheorie (Beitrage zur Algebra 12) [22]
Idealtheorie in Ringen ohne Endlichkeitsbedingung [23]
Uber den Aufbau des Nullideals in ganz abgeschlossenen Ringen mit Teilerkettensatz [24]
Idealtheorie in unendlichen algebraischen Zahlkorpern. II [25]
Ein Satz uber primare Integritatsbereiche [26]
Galoissche Theorie bewerteter Korper [27]
Ein Hauptsatz uber umkehrbare Ideale [28]
Eine Bemerkung uber rationalzahlige Potenzreihen [31]
Zur Arithmetik der Potenzreihen mit ganzzahligen Koeffizienten [32]
Uber die Zerlegung der Hauptideale in allgemeinen Ringen [33]
Matrizen, Moduln and verallgemeinerte Abelsche Gruppen im Bereich der ganzen algebraischen Zahlen (Beitrage zur Algebra 19) [34]
Allgemeine Bewertungstheorie [35]
Bemerkungen zur algebraischen Geometrie [36]
Hauptidealzerlegung in Polynomringen [38]
Uber allgemeine Multiplikationsringe [39]
Linearformenmoduln und lineare Gleichungssysteme in unendlich vielen Variabeln uber einem diskret bewerteten, perfekten Korper [40]
Linearformenmoduln und lineare Gleichungssysteme in unendlich vielen Variabeln uber einem diskret bewerteten, perfekten Korper. II [41]
Linearformenmoduln und lineare Gleichungssysteme in unendlich vielen Variabeln uber einem diskret bewerteten, perfekten Korper. III [42]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. I. Multiplikationsringe, ausgezeichnete Idealsysteme und Kroneckersche Funktionalringe [43]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. II. v-Ideale und vollstandig ganz abgeschlossene Integritatsbereiche [44]
Uber die Entwicklung der Arithmetik kommutativer Integritatsbereiche [45]
Galoissche Theorie der ganz abgeschlossenen Stellenringe [46]
Dimensionstheorie in Stellenringen [47]
Uber einen Irreduzibilitatssatz von Bertini [48]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. III. Zum Dimensionsbegriff der Idealtheorie [49]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. IV. Unendliche algebraische Erweiterungen endlicher diskreter Hauptordnungen [50]
Dimensionstheorie in Stellenringen [51]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. IIIa. Eine Erganzung von Beitrag III [52]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. V. Potenzreihenringe [53]
Bibliography
Beitrage zur Arithmetik kommutativer Integritatsbereiche. VI. Der allgemeine Diskriminantensatz. Unverzweigte Ringerweiterungen [54] / Volume 2:
Funktionaldeterminanten und Diskriminanten bei Polynomen in mehreren Unbestimmten [55]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. VII. Inseparable Grundkorpererweiterung. Bemerkungen zur Korpertheorie [56]
Uber separable, abgeschlossene Abelsche Gruppen [58]
Uber separable, insbesondere kompakte separable Gruppen. Mit einer Anwendung auf die Galoissche Theorie [61]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. Eine Bemerkung zu den Beitragen VI und VII [62]
Funktionaldeterminanten und Diskriminanten bei Polynomen in mehreren Unbestimmten. II [63]
Beitrage zur Arithmetik kommutativer Integritatsbereiche. VIII. Multiplikativ abgeschlossene Systeme von endlichen Idealen [64]
Bemerkungen zur Differenzengleichung g(x + 1) - g(x) = [open phi](x) [65]
Bemerkungen zur Differenzengleichung g(x + 1) - g(x) = [open phi](x). II [66]
Parameterspezialisierung in Polynomringen [67a]
Parameterspezialisierung in Polynomringen. II. Das Grundpolynom [67b]
Subdirekte Summendarstellungen von Integritatsbereichen [68]
Die Verzweigungsgruppen in der Galoisschen Theorie beliebiger arithmetischer Korper [69a]
Die Verzweigungsgruppe in der Galoisschen Theorie der arithmetischen Korper [69b]
Zur Korrelationstheorie zweidimensionaler Merkmale [70]
Korrelationstheorie mehrdimensionaler Merkmale [71]
Zur Arithmetik der endlichen diskreten Hauptordnungen [72]
Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie [73]
Bemerkungen zur Theorie des Hilbertschen Raumes [75]
Halbgeordnete Gruppen und asymptotische Grossenordnung [76]
Uber geschlossene Bewertungssysteme [78]
Uber unendliche algebraische Erweiterungen bewerteter Korper [79]
Zur Theorie der kommutativen Integritatsbereiche [80]
Galoissche Theorie und Eliminationstheorie [81]
Uber eine Verallgemeinerung des Normalkorperbegriffs [82]
Uber gewisse Homomorphismen von Polynomgruppen [83]
Zur Galoisschen Theorie der arithmetischen Korper [84]
Uber Polynomzerlegung mit endlich vielen Schritten [85a]
Uber Polynomzerlegung mit endlich vielen Schritten. II [85b]
Uber Polynomzerlegung mit endlich vielen Schritten. III [85c]
Zur Variationsrechnung [86]
Uber die Hauptreihen gewisser endlicher Gruppen [87]
Charakterentopologie, Isomorphismentopologie und Bewertungstopologie [88]
Uber geordnete Gruppen von reellen Funktionen [89]
Eine Bemerkung uber primare Integritatsbereiche [90]
Uber reelle Radikalkorper [91]
Zur Theorie der Bewertungen mit nichtarchimedisch geordneter Wertgruppe und der nichtarchimedisch geordneten Korper [92]
Zur Idealtheorie der unendlichen algebraischen Zahlkorper [93]
Uber eine Verallgemeinerung der Hadamardschen Ungleichung [94]
Uber Laskersche Ringe [95]
Uber einen Existenzsatz der Bewertungstheorie [96]
Uber die Endomorphismen von total geordneten Archimedischen Abelschen Gruppen [98]
Einbettungsfreie, fast-Noethersche Ringe und ihre Oberringe [100]
Uber die p-Untergruppen endlicher Gruppen [101]
Ordnungsfunktionen und Bewertungen von Korpern [102]
Automorphismen und Spiegelungen eudoxischer Halbgruppen [103]
Eine Bemerkung zur Bewertungstheorie [105]
Zur Theorie der Gruppen mit Untergruppentopologie [106]
Uber p-Sylowkomplemente [107]
Uber gewisse unendliche algebraische Zahlkorper [108]
Endomorphismenringe in der Galoisschen Theorie [111]
Arten und Gattungen von Abbildungsgruppen. Ein elementares Beispiel aus der Galoisschen Theorie [112]
Uber den Galoisring [113]
Die (p'[subscript 1], ..., p'[subscript r])-Sylowgruppen der symmetrischen Gruppe [characters not reproducible] [14]
Uber gewisse Kategorien von Gruppen mit Untergruppentopologie [115]
Die Struktur der absoluten Galoisgruppe uber dem Korper R(t) (with Jurgen Neukirch) [116]
Sur quelques extensions algebriques infinies [117]
Dualitatstheorie in den Moduln uber einem Dedekindschen Ring [118]
Zahlen und Grossen--Dedekind und Eudoxos [119]
Endlichkeitsbedingungen bei Verbanden, Moduln, Gruppen [120]
Preface / Volume 1:
Acknowledgements
Wolfgang Krull--Life, Work and Influence / P. Ribenboim
16.

図書

図書
Marc Zamansky
出版情報: Paris : Dunod, 1967 [c1966]  xviii, 435 p ; 25 cm
シリーズ名: Collection universitaire de mathématiques ; 1
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17.

図書

図書
[by] John T. Moore
出版情報: New York ; London : Macmillan, c1964  x, 342 p ; 24 cm
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18.

図書

図書
David Wells, Lynn Tilson
出版情報: Upper Saddle River, N.J. : Prentice Hall, c1998  1 v. (various pagings) ; 26 cm
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19.

図書

図書
Gabor Toth
出版情報: New York : Springer, c1998  xviii, 308 p., [4] p. of plates ; 25 cm
シリーズ名: Undergraduate texts in mathematics
Graduate texts in mathematics
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目次情報: 続きを見る
"A Number is a multitude composed of units" (Euclid)
"..there are no irrational numbers at all" (Kronecker)
Rationality, Elliptic Curves and Fermat's Last Theorem
Algebraic or Transcendential?
Complex Arithmetic
Quadratic, Cubic, and Quartic Equations
Stereographic Projection
Proof of the Fundamental Theorem of Algebra
Symmetries of Regular Polygons
Discrete Subgroups of Iso(R^2)
Mobius Geometry
Complex Linear Fractional Transformations
"Out of nothing I have created a new universe" (Bolyai)
Fuchsian Groups
Riemann Surfaces
General Surfaces
The Five Platonic Solids
Finite Mobius Groups
Detour in Topology: Euler-Poincare Characteristic
Detour in Graph Theory: Euler, Hamilton and the Four Color Theorem
Dimension Leap
Quaternions
Back to R^3!
Invariants
The Icosahedron and the Unsolvable Quintic
The Fourth Dimension
Appendices
Solutions for 100 Selected Problems
Index
"A Number is a multitude composed of units" (Euclid)
"..there are no irrational numbers at all" (Kronecker)
Rationality, Elliptic Curves and Fermat's Last Theorem
20.

図書

図書
Teresa Bradley, Paul Patton
出版情報: Chichester, England ; New York : John Wiley & Sons, c1998  xv, 723 p. ; 24 cm
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Mathematical preliminaries
The straight line and applications
Simultaneous equations Non-linear functions and applications
Financial Mathematics Introduction to differentiation and applications
Functions of several variables
Integration and applications Linear algebra and applications
Difference equations Solutions to progress exercises
Mathematical preliminaries
The straight line and applications
Simultaneous equations Non-linear functions and applications
21.

図書

図書
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1965  xvii, 508 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
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22.

図書

図書
Geoff Smith
出版情報: London : Springer, c1998  xvi, 215 p. ; 24 cm
シリーズ名: Springer undergraduate mathematics series
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Preface
Sets, Functions and Relations
Proof
Complex Numbers
Vectors and matrices
Group Theory
Sequences and series
Continuity and functions
Index
Preface
Sets, Functions and Relations
Proof
23.

図書

図書
Peter Bürgisser, Michael Clausen, M. Amin Shokrollahi ; with the collaboration of Thomas Lickteig
出版情報: Berlin ; Tokyo : Springer-Verlag, c1997  xxiii, 618 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 315
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24.

図書

図書
Irving Kaplansky
出版情報: New York : Springer-Verlag, c1995  xviii, 257 p. ; 25 cm
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25.

図書

図書
par Bernard Roy ; contribution de Michel Horps
出版情報: Paris : Dunod, 1969-70  2 v ; 24 cm
シリーズ名: Finance et économie appliquée ; 31-32
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目次情報:
t. 1. Notions et résultats fondamentaux
t. 2. Applications et problèmes spécifiques
t. 1. Notions et résultats fondamentaux
t. 2. Applications et problèmes spécifiques
26.

図書

図書
edited by X.H. Cao ... [et al.]
出版情報: New York : Marcel Dekker, c1996  viii, 332 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 181
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Structure of Finite Groups / Zhongmu Chen ; Wujie Shi ; Guiyen Chen
The Representation and Cohomology Theory of Modular Lie Algebras / Sen Chiu
Valuation Theory and Generalizations of Hilbert's 17th Problem / Zhizhong Dai
Guangxing Zeng Modules over Hyperfinite Groups / Z. Y. Duan
Pointed Groups and Nilpotent Blocks, Yun Fan Near-Rings in China / Yuen Fong
The Theory of Formations / Wenbin Guo
Some Recent Developments in Filtered Ring and Graded Ring Theory in China / Huishi Li Liu
Structure of Finite Groups / Zhongmu Chen ; Wujie Shi ; Guiyen Chen
The Representation and Cohomology Theory of Modular Lie Algebras / Sen Chiu
Valuation Theory and Generalizations of Hilbert's 17th Problem / Zhizhong Dai
27.

図書

図書
Abraham Robinson
出版情報: San Francisco : Holden-Day, 1965  ix, 106 p. ; 24 cm
シリーズ名: The Mathesis series
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28.

図書

図書
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1987  ix, 256 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
Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index
Foreword
The Integers
Groups
29.

図書

図書
Leon S. Levy
出版情報: New York : Wiley, c1980  310 p. ; 24 cm
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30.

図書

図書
Ralph N. McKenzie, George F. McNulty, Walter F. Taylor
出版情報: Monterey, Calif. : Wadsworth & Brooks/Cole Pub. Co., c1987-  v. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series
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31.

図書

図書
Serge Lang
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley Pub. Co., Advanced Book Program, c1984  xv, 714 p. ; 24 cm
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目次情報: 続きを見る
The Basic Objects Of Algebra Groups / I:
Groups
Rings
Modules
Polynomials
Algebraic Equations / II:
Algebraic Extensions
Galois Theory
Extensions of Rings
Transcendental Extensions
Algebraic Spaces
Noetherian Rings and Modules
Real Fields
Absolute Values
Linear Algebra and Representations / III:
Matrices and Linear Maps
Representation of One Endomorphism
Structure of Bilinear Forms
The Tensor Product
Semisimplicity
Representations of Finite Groups
The Alternating Product
Homological Algebra / IV:
General Homology Theory
Finite Free Resolution
Appendices
The Basic Objects Of Algebra Groups / I:
Groups
Rings
32.

図書

図書
by Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura ; translated by Goro Kato
出版情報: Princeton, N.J. : Princeton University Press, c1986  xii, 254 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 37
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33.

図書

図書
Michael Artin
出版情報: Upper Saddle River, N.J. : Prentice Hall, c1991  xviii, 618 p. ; 25 cm
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目次情報: 続きを見る
Matrix Operations / 1:
Groups / 2:
Fields and Vector Spaces / 3:
Linear Transformations / 4:
Symmetry / 5:
More Group Theory / 6:
Bilinear Forms / 7:
Linear Groups / 8:
Group Representations / 9:
Rings / 10:
Factorization / 11:
Modules / 12:
Fields / 13:
Galois Theory / 14:
Matrix Operations / 1:
Groups / 2:
Fields and Vector Spaces / 3:
34.

図書

図書
Richard F. McCoart, Malcolm W. Oliphant, Anne E. Scheerer
出版情報: San Francisco : Holden-Day, 1964  xv, 251 p. ; 24 cm
シリーズ名: Holden-Day series in mathematics
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35.

図書

図書
Seth Warner
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1965  2 v. (x, 806 p.) ; 24 cm
シリーズ名: Prentice-Hall mathematics series / Albert A. Bennett, editor
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36.

図書

図書
Charles P. Benner ... [et al.]
出版情報: New York : Harper & Row, [1962]  144 p. ; 22 cm
シリーズ名: Harper's mathematics series
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37.

図書

図書
Klingenberg, Wilhelm, 1924-
出版情報: Singapore : World Scientific, c1991  xiv, 532 p. ; 26 cm
シリーズ名: Series in pure mathematics ; v. 14
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38.

図書

図書
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1965  xvii, 508 p. ; 21 cm
シリーズ名: Addison-Wesley world student series
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39.

図書

図書
William A. Adkins, Steven H. Weintraub
出版情報: New York ; Berlin : Springer-Verlag, c1992  x, 526 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 136
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40.

図書

図書
Francois Louis Baccelli ... [et al.]
出版情報: Chichester ; New York : Wiley, c1992  xix, 489 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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41.

図書

図書
by B.L. van der Waerden ; in part a development from lectures by E. Artin and E. Noether ; translated from the second revised German edition by Fred Blum ; with revisions and additions by the author
出版情報: New York : F. Ungar, c1950-c1953  2 v. ; 24 cm
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42.

図書

図書
Fuller, Gordon, 1894-
出版情報: New York : McGraw-Hill, 1971  xiv, 543 p ; 24 cm
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43.

図書

図書
E. A. Maxwell
出版情報: Cambridge [Eng.] : University Press, 1966-69  2 v ; 23 cm
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44.

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図書
Anthony N. Michel, Charles J. Herget
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1981  xi, 484 p. ; 24 cm
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45.

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図書
[by] G. Cuthbert Webber
出版情報: Boston : Houghton Mifflin, [1973]  x, 268 p ; 25 cm
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46.

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図書
Mary Gray
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1970  viii, 232 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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47.

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図書
[By] R. Kochendörffer
出版情報: Groningen : Wolters-Noordhoff Publishing, 1972  x, 414 p. ; 24 cm
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48.

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図書
by S.S. Horuzhy
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  xi, 301 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 19
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49.

図書

図書
by L.M. Abramov ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1965  iv, 396 p. ; 25 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 48
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50.

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図書
by N.I. Felʹdman ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1966  iv, 284 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 59
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51.

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図書
by V.P. Kompaniec ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1968  iv, 260 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 73
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52.

図書

図書
Geng Ji (Keng Chi) [G. Gun] ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1968  iv, 263 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 76
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53.

図書

図書
James E. Hall, Marion B. Smith
出版情報: Menlo Park, Calif. : Cummings Pub. Co., c1976  5 v, ; 28 cm
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目次情報: 続きを見る
Module 1. Fundamentals
module 2. Equations
module 3. Functions
module 4. Trigonometric functions: theory
module 5. Trigonometric functions: applications
Module 1. Fundamentals
module 2. Equations
module 3. Functions
54.

図書

図書
Serge Lang
出版情報: New York : Springer-Verlag, c1990  xi, 367 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
Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index
Foreword
The Integers
Groups
55.

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図書
A.I. Kostrikin, I.R. Shafarevich (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1990  258 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 11 . Algebra ; 1
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56.

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図書
Ehrig, Hartmut ; Mahr, Bernd
出版情報: Berlin ; Tokyo : Springer-Verlag, c1990  xi, 427 p. ; 24 cm
シリーズ名: EATCS monographs on theoretical computer science ; v. 21 . Fundamentals of algebraic specification / Hartmut Ehrig, Bernd Mahr ; v. 2
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57.

図書

図書
by Christian U. Jensen and Helmut Lenzing
出版情報: New York : Gordon and Breach Science Publishers, c1989  xiii, 443 p. ; 24 cm
シリーズ名: Algebra, logic and applications series ; v. 2
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58.

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図書
Roger Godement
出版情報: Paris : Hermann , Boston ; New York : Houghton Mifflin, c1968  638 p. ; 23 cm
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59.

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図書
edited by Joseph P.S. Kung
出版情報: New York : Academic Press, 1982  viii, 334 p. ; 24 cm
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60.

図書

図書
[by] Frank DeMeyer [and] Edward Ingraham
出版情報: Berlin ; New York : Springer-Verlag, 1971  157 p ; 26 cm
シリーズ名: Lecture notes in mathematics ; 181
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61.

図書

図書
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1970  xvii, 526 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
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目次情報: 続きを見る
The Basic Objects Of Algebra Groups / I:
Groups
Rings
Modules
Polynomials
Algebraic Equations / II:
Algebraic Extensions
Galois Theory
Extensions of Rings
Transcendental Extensions
Algebraic Spaces
Noetherian Rings and Modules
Real Fields
Absolute Values
Linear Algebra and Representations / III:
Matrices and Linear Maps
Representation of One Endomorphism
Structure of Bilinear Forms
The Tensor Product
Semisimplicity
Representations of Finite Groups
The Alternating Product
Homological Algebra / IV:
General Homology Theory
Finite Free Resolution
Appendices
The Basic Objects Of Algebra Groups / I:
Groups
Rings
62.

図書

図書
by Charles S. Peirce ; edited by Carolyn Eisele
出版情報: Hague : Mouton , Atlantic Highlands, N.J. : Humanities Press, 1976  xxxi, 672 p. ; 24 cm
シリーズ名: The new elements of mathematics ; v. 2
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63.

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図書
Paul Roman
出版情報: New York : Pergamon Press, [1974, c1975]  2 v. (xlviii, 666 p.) ; 23 cm
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64.

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図書
edited by Masaki Kashiwara, Takahiro Kawai
出版情報: Boston ; Tokyo : Academic Press, c1988  2 v. (xxi, 950 p.) ; 24 cm
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65.

図書

図書
by John L. Kelley ; with the assistance of Roy Dubisch and Scott Taylor
出版情報: Princeton, N.J. : D. Van Nostrand, c1960  x, 338 p. ; 21 cm
シリーズ名: The university series in undergraduate mathematics
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66.

図書

図書
Nicolas Bourbaki
出版情報: Berlin ; Tokyo : Springer-Verlag, c1989-  v. ; 24 cm
シリーズ名: Elements of mathematics / Nicolas Bourbaki
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目次情報: 続きを見る
Vibrational Spectroscopy / H.G. Karge ; E. Geidel
NMR Spectroscopy / M. Hunger ; E. Brunner
ESR Spectroscopy / H. Brunner ; R.A. Schoonheydt ; B.M. Weckhuysen
UV/VIS Spectroscopy / H. F÷rster
EXAFS.XANES and Related Techniques / P. Behrens
XPS and Auger Electron Spectroscopy / W. Grnnert ; R. Schl÷gl
M÷ssbauer Spectroscopy / L. Rees
Polinomials and Rational Fractions / Capter IV:
Commutative Fields / Chapter V:
Ordered Groups and Fields / Chapter VI:
Modules Over Principal Ideal Domains / Chapter VII:
Vibrational Spectroscopy / H.G. Karge ; E. Geidel
NMR Spectroscopy / M. Hunger ; E. Brunner
ESR Spectroscopy / H. Brunner ; R.A. Schoonheydt ; B.M. Weckhuysen
67.

図書

図書
Lindsay Childs
出版情報: New York : Springer, c1979  xiv, 338 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Introduction
Numbers / Chapter 1:
Induction / Chapter 2:
Another Form of Induction / A.:
Well-Ordering / C.:
Division Theorem / D.:
Bases / E.:
Operations in Base a / F.:
Euclid's Algorithm / Chapter 3:
Greatest Common Divisors
Bezout's Identity
The Efficiency of Euclid's Algorithm
Euclid's Algorithm and Incommensurability
Unique Factorization / Chapter 4:
The Fundamental Theorem of Arithmetic
Exponential Notation
Primes
Primes in an Interval
Congruences / Chapter 5:
Congruence Modulo m
Basic Properties
Divisibility Tricks
More Properties of Congruence
Linear Congruences and Bezout's Identity
Congruence Classes / Chapter 6:
Congruence Classes (mod m): Examples
Congruence Classes and Z/mZ
Arithmetic Modulo m
Complete Sets of Representatives
Units
Applications of Congruences / Chapter 7:
Round Robin Tournaments
Pseudorandom Numbers
Factoring Large Numbers by Trial Division
Sieves
Factoring by the Pollard Rho Method
Knapsack Cryptosystems
Rings and Fields / Chapter 8:
Axioms
Z/mZ
Homomorphisms
Fermat's and Euler's Theorems / Chapter 9:
Orders of Elements
Fermat's Theorem
Euler's Theorem
Finding High Powers Modulo m
Groups of Units and Euler's Theorem
The Exponent of an Abelian Group
Applications of Fermat's and Euler's Theorems / Chapter 10:
Fractions in Base a
RSA Codes
2-Pseudoprimes
Trial a-Pseudoprime Testing
The Pollard p - 1 Algorithm
On Groups / Chapter 11:
Subgroups
Lagrange's Theorem
A Probabilistic Primality Test
Some Nonabelian Groups
The Chinese Remainder Theorem / Chapter 12:
The Theorem
Products of Rings and Euler's [phi]-Function
Square Roots of 1 Modulo m
Matrices and Codes / Chapter 13:
Matrix Multiplication
Linear Equations
Determinants and Inverses
M[subscript n](R)
Error-Correcting Codes, I
Hill Codes
Polynomials / Chapter 14:
Primitive Roots / Chapter 15:
Factorization into Irreducible Polynomials
The Fundamental Theorem of Algebra / Chapter 16:
Rational Functions
Partial Fractions
Irreducible Polynomials over R
The Complex Numbers
Root Formulas
The Fundamental Theorem
Integrating / G.:
Derivatives / Chapter 17:
The Derivative of a Polynomial
Sturm's Algorithm
Factoring in Q[x], I / Chapter 18:
Gauss's Lemma
Finding Roots
Testing for Irreducibility
The Binomial Theorem in Characteristic p / Chapter 19:
The Binomial Theorem
Fermat's Theorem Revisited
Multiple Roots
Congruences and the Chinese Remainder Theorem / Chapter 20:
Congruences Modulo a Polynomial
Applications of the Chinese Remainder Theorem / Chapter 21:
The Method of Lagrange Interpolation
Fast Polynomial Multiplication
Factoring in F[subscript p][x] and in Z[x] / Chapter 22:
Berlekamp's Algorithm
Factoring in Z[x] by Factoring mod M
Bounding the Coefficients of Factors of a Polynomial
Factoring Modulo High Powers of Primes
Primitive Roots Modulo m / Chapter 23:
Polynomials Which Factor Modulo Every Prime
Cyclic Groups and Primitive Roots / Chapter 24:
Cyclic Groups
Primitive Roots Modulo p[superscript e]
Pseudoprimes / Chapter 25:
Lots of Carmichael Numbers
Strong a-Pseudoprimes
Rabin's Theorem
Roots of Unity in Z/mZ / Chapter 26:
For Which a Is m an a-Pseudoprime?
Square Roots of -1 in Z/pZ
Roots of -1 in Z/mZ
False Witnesses
Proof of Rabin's Theorem
RSA Codes and Carmichael Numbers
Quadratic Residues / Chapter 27:
Reduction to the Odd Prime Case
The Legendre Symbol
Proof of Quadratic Reciprocity
Applications of Quadratic Reciprocity
Congruence Classes Modulo a Polynomial / Chapter 28:
The Ring F[x]/m(x)
Representing Congruence Classes mod m(x)
Inventing Roots of Polynomials
Finding Polynomials with Given Roots
Some Applications of Finite Fields / Chapter 29:
Latin Squares
Error Correcting Codes
Reed-Solomon Codes
Classifying Finite Fields / Chapter 30:
More Homomorphisms
On Berlekamp's Algorithm
Finite Fields Are Simple
Factoring x[superscript pn] - x in F[subscript p][x]
Counting Irreducible Polynomials
Finite Fields
Most Polynomials in Z[x] Are Irreducible
Hints to Selected Exercises
References
Index
Introduction
Numbers / Chapter 1:
Induction / Chapter 2:
68.

図書

図書
editorial board of the anniversary collection, I.M. Vinogradov (editor-in-chief), ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1986  vii, 266 p. ; 26 cm
シリーズ名: Proceedings of the Steklov Institute of Mathematics ; 1986, issue 3
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69.

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図書
by Howard Levi
出版情報: New York : Chelsea Pub. Co, [1961]  189 p ; 21 cm
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70.

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図書
I.N. Herstein
出版情報: Waltham, Mass. : Blaisdell Pub. Co., c1964  viii, 342 p. ; 24 cm
シリーズ名: A Blaisdell book in the pure and applied sciences
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71.

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図書
W.E. Deskins
出版情報: New York : Macmillan, c1964  xii, 624 p. ; 24 cm
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72.

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図書
by L.A. Bokutʹ and G.P. Kukin
出版情報: Dordrecht : Kluwer Academic, c1994  xvi, 384 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 255
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73.

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図書
par N. Bourbaki
出版情報: Paris : Hermann, 1970  1v. ; 25 cm
シリーズ名: Éléments de mathématique / par N. Bourbaki
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74.

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図書
Garrett Birkhoff and Thomas C. Bartee
出版情報: New York : McGraw-Hill, c1970  xi, 431 p. ; 24 cm
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75.

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図書
John Stillwell
出版情報: New York ; Berlin : Springer-Verlag, c1994  xi, 181 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Algebra and Geometry / 1:
The Rational Numbers / 2:
Numbers In General / 3:
Polynomials / 4:
Fields / 5:
Isomorphisms / 6:
Groups / 7:
Galois Theory of Unsolvability / 8:
Galois Theory of Solvability / 9:
References
Index
Algebra and Geometry / 1:
The Rational Numbers / 2:
Numbers In General / 3:
76.

電子ブック

EB
by Benjamin Benninghofen, Susanne Kemmerich, Michael M. Richter
出版情報:   XII, 272 p.
シリーズ名: Lecture Notes in Computer Science ; 277
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目次情報: 続きを見る
Finite Sets of Reductions
Infinite Sets of Reductions
Automata and Reductions
Deciding Algebraic Properties of Finitely Presented Monoids by Friedrich Otto
References
Subject Index
List of Symbols and Abbreviations
Finite Sets of Reductions
Infinite Sets of Reductions
Automata and Reductions
77.

電子ブック

EB
edited by Rainer Janßen
出版情報:   VIII, 204 p.
シリーズ名: Lecture Notes in Computer Science ; 296
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目次情報:
78.

電子ブック

EB
edited by Teo Mora
出版情報:   XII, 488 p.
シリーズ名: Lecture Notes in Computer Science ; 357
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目次情報:
79.

電子ブック

EB
edited by Paul Franchi-Zannettacci
出版情報:   VIII, 308 p.
シリーズ名: Lecture Notes in Computer Science ; 214
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目次情報:
80.

図書

図書
Emanuel Sperner
出版情報: Göttingen : Vandenhoeck & Ruprecht, 1963  viii, 339 p. ; 24 cm
シリーズ名: Studia mathematica/Mathematische Lehrbücher ; Bd. 1
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81.

図書

図書
Joseph J. Rotman
出版情報: Providence, R.I. : American Mathematical Society, c2015-  v. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 165, v. 180
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82.

図書

図書
Peter M. Higgins
出版情報: Oxford : Oxford University Press, 2015  xiv, 144 p. ; 18 cm
シリーズ名: Very short introductions ; 447
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83.

図書

図書
Beverly Fusfield
出版情報: Boston : Pearson, c2015  453 p. ; 28 cm
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84.

図書

図書
Serge Lang
出版情報: New York : Springer, c2002  xv, 914 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 211
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目次情報: 続きを見る
The Basic Objects of Algebra / Part 1:
Groups / Chapter I:
Monoids / 1.:
Normal subgroups / 2.:
Cyclic groups / 4.:
Operations of a group on a set / 5.:
Sylow subgroups / 6.:
Direct sums and free abelian groups / 7.:
Finitely generated abelian groups / 8.:
The dual group / 9.:
Inverse limit and completion / 10.:
Categories and functors / 11.:
Free groups / 12.:
Rings / Chapter II:
Rings and homomorphisms
Commutative rings
Polynomials and group rings
Localization
Principal and factorial rings
Modules / Chapter III:
Basic definitions
The group of homomorphisms
Direct products and sums of modules
Free modules
Vector spaces
The dual space and dual module
Modules over principal rings
Euler-Poincare maps
The snake lemma
Direct and inverse limits
Polynomials / Chapter IV:
Basic properties for polynomials in one variable
Polynomials over a factorial ring
Criteria for irreducibility
Hilbert's theorem
Partial fractions
Symmetric polynomials
Mason-Stothers theorem and the abc conjecture
The resultant
Power series
Algebraic Equations / Part 2:
Algebraic Extensions / Chapter V:
Finite and algebraic extensions
Algebraic closure
Splitting fields and normal extensions
Separable extensions
Finite fields
Inseparable extensions
Galois Theory / Chapter VI:
Galois extensions
Examples and applications
Roots of unity
Linear independence of characters
The norm and trace
Cyclic extensions
Solvable and radical extensions
Abelian Kummer theory
The equation X[superscript n] - a = 0
Galois cohomology
Non-abelian Kummer extensions
Algebraic independence of homomorphisms
The normal basis theorem / 13.:
Infinite Galois extensions / 14.:
The modular connection / 15.:
Extensions of Rings / Chapter VII:
Integral ring extensions
Integral Galois extensions
Extension of homomorphisms
Transcendental Extensions / Chapter VIII:
Transcendence bases
Noether normalization theorem
Linearly disjoint extensions
Separable and regular extensions
Derivations
Algebraic Spaces / Chapter IX:
Hilbert's Nullstellensatz
Algebraic sets, spaces and varieties
Projections and elimination
Resultant systems
Spec of a ring
Noetherian Rings and Modules / Chapter X:
Basic criteria
Associated primes
Primary decomposition
Nakayama's lemma
Filtered and graded modules
The Hilbert polynomial
Indecomposable modules
Real Fields / Chapter XI:
Ordered fields
Real fields
Real zeros and homomorphisms
Absolute Values / Chapter XII:
Definitions, dependence, and independence
Completions
Finite extensions
Valuations
Completions and valuations
Discrete valuations
Zeros of polynomials in complete fields
Linear Algebra and Representations / Part 3:
Matrices and Linear Maps / Chapter XIII:
Matrices
The rank of a matrix
Matrices and linear maps
Determinants
Duality
Matrices and bilinear forms
Sesquilinear duality
The simplicity of SL[subscript 2](F)/[plus or minus]1
The group SL[subscript n](F), n [greater than or equal] 3
Representation of One Endomorphism / Chapter XIV:
Representations
Decomposition over one endomorphism
The characteristic polynomial
Structure of Bilinear Forms / Chapter XV:
Preliminaries, orthogonal sums
Quadratic maps
Symmetric forms, orthogonal bases
Symmetric forms over ordered fields
Hermitian forms
The spectral theorem (hermitian case)
The spectral theorem (symmetric case)
Alternating forms
The Pfaffian
Witt's theorem
The Witt group
The Tensor Product / Chapter XVI:
Tensor product
Basic properties
Flat modules
Extension of the base
Some functorial isomorphisms
Tensor product of algebras
The tensor algebra of a module
Symmetric products
Semisimplicity / Chapter XVII:
Matrices and linear maps over non-commutative rings
Conditions defining semisimplicity
The density theorem
Semisimple rings
Simple rings
The Jacobson radical, base change, and tensor products
Balanced modules
Representations of Finite Groups / Chapter XVIII:
Representations and semisimplicity
Characters
1-dimensional representations
The space of class functions
Orthogonality relations
Induced characters
Induced representations
Positive decomposition of the regular character
Supersolvable groups
Brauer's theorem
Field of definition of a representation
Example: GL[subscript 2] over a finite field
The Alternating Product / Chapter XIX:
Definition and basic properties
Fitting ideals
Universal derivations and the de Rham complex
The Clifford algebra
Homological Algebra / Part 4:
General Homology Theory / Chapter XX:
Complexes
Homology sequence
Euler characteristic and the Grothendieck group
Injective modules
Homotopies of morphisms of complexes
Derived functors
Delta-functors
Bifunctors
Spectral sequences
Finite Free Resolutions / Chapter XXI:
Special complexes
Finite free resolutions
Unimodular polynomial vectors
The Koszul complex
The Transcendence of e and [Pi] / Appendix 1:
Some Set Theory / Appendix 2:
Bibliography
Index
The Basic Objects of Algebra / Part 1:
Groups / Chapter I:
Monoids / 1.:
85.

図書

図書
Paul K. Rees and Fred W. Sparks
出版情報: New York : McGraw-Hill, c1962  vi, 403 p. ; 25 cm
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86.

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図書
Emanuel Sperner
出版情報: Göttingen : Vandenhoeck & Ruprecht, 1963  388 p. ; 24 cm
シリーズ名: Studia mathematica/Mathematische Lehrbücher ; Bd. 6
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87.

図書

図書
E.B. Vinberg ; [translated from the Russian by Alexander Retakh]
出版情報: Providence, R.I. : American Mathematical Society, c2003  x, 511 p. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 56
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88.

図書

図書
P.M. Cohn
出版情報: London : Springer, c2003  xi, 451 p ; 25 cm.
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目次情報: 続きを見る
Conventions on Terminology
Preface
Universal Algebra
Homological Algebra
Further Group Theory
Algebras
Central Simple Algebras
Representation Theory of Finite Groups
Noetherian Rings and Polynomial Identities
Rings without Finiteness Assumptions
Skew Fields
Coding Theory
Languages and Automata
Bibliography
List of Notations
Author Index
Subject Index
Conventions on Terminology
Preface
Universal Algebra
89.

図書

図書
Gabor Toth
出版情報: New York : Springer, c2002  xxii, 450 p., [4] p. of plates ; 25 cm
シリーズ名: Undergraduate texts in mathematics ; . Reading in mathematics
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目次情報: 続きを見る
"A Number is a multitude composed of units" (Euclid)
"..there are no irrational numbers at all" (Kronecker)
Rationality, Elliptic Curves and Fermat's Last Theorem
Algebraic or Transcendential?
Complex Arithmetic
Quadratic, Cubic, and Quartic Equations
Stereographic Projection
Proof of the Fundamental Theorem of Algebra
Symmetries of Regular Polygons
Discrete Subgroups of Iso(R^2)
Mobius Geometry
Complex Linear Fractional Transformations
"Out of nothing I have created a new universe" (Bolyai)
Fuchsian Groups
Riemann Surfaces
General Surfaces
The Five Platonic Solids
Finite Mobius Groups
Detour in Topology: Euler-Poincare Characteristic
Detour in Graph Theory: Euler, Hamilton and the Four Color Theorem
Dimension Leap
Quaternions
Back to R^3!
Invariants
The Icosahedron and the Unsolvable Quintic
The Fourth Dimension
Appendices
Solutions for 100 Selected Problems
Index
"A Number is a multitude composed of units" (Euclid)
"..there are no irrational numbers at all" (Kronecker)
Rationality, Elliptic Curves and Fermat's Last Theorem
90.

図書

図書
Rafael H. Villarreal
出版情報: New York : Marcel Dekker, c2001  ix, 455 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 238
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目次情報: 続きを見る
Commutative algebra
affine and graded algebras
Rees algebras and normality
Hilbert series
monomial ideals and Stanley-Reisner rings
edge ideals
monomial subrings
monomial subrings of graphs
semigroup rings of complete graphs
monomial curves
affine toric varieties and toric ideals
graph diagrams
Commutative algebra
affine and graded algebras
Rees algebras and normality
91.

図書

図書
von Rudolf Kochendörffer
出版情報: Berlin : Deutscher Verlag der Wissenschaften, 1962  xii, 315 p. ; 24 cm
シリーズ名: Hochschulbücher für Mathematik ; Bd. 18
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92.

図書

図書
by Alexander V. Mikhalev and Günter F. Pilz [editors]
出版情報: Dordrecht : Kluwer Academic Publishers, c2002  xvi, 618 p. ; 25 cm
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93.

図書

図書
Igor R. Shafarevich ; [translator, Miles Reid]
出版情報: Berlin : Springer, c2005  258 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 11 . Algebra ; 1
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The Why and How of Radioactive Beams
Shell Model from a Practitioner's Point of View
Halo Nuclei
In-Flight Separation of Projectile Fragments
Measurement of Mass and Beta-Lifetime of Stored Exotic Nuclei
Traps for Rare Isotopes
Decay Studies of NZ-Nuclei
Gamma-Ray and Conversion-Electron Spectrosopy of Exotic Heavy Nuclei
Selected Topics in Reaction Studies with Exotic Beams
Weak Interaction Studies by Precision Decay Experiments in Nuclear Beta Decay
Nuclear Processes in Stellar Environments
Medical Applications of Accelerated Ions
The Why and How of Radioactive Beams
Shell Model from a Practitioner's Point of View
Halo Nuclei
94.

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図書
Serge Lang
出版情報: New York : Springer, c2005  xi, 385 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index
Foreword
The Integers
Groups
95.

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図書
Alan F. Beardon
出版情報: Cambridge, UK : Cambridge University Press, 2005  xii, 326 p. ; 23 cm
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96.

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図書
Fedor Bogomolov, Yuri Tschinkel, editors
出版情報: Boston : Birkhäuser, c2005  viii, 362 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 235
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97.

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図書
Roe Goodman, Nolan R. Wallach
出版情報: Dordrecht ; New York : Springer, c2009  xx, 716 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 255
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98.

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図書
Nathan Jacobson
出版情報: Mineola : Dover Publications, 2009  2 v. ; 24 cm
シリーズ名: Dover books on mathematics
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Preface
Preface to the First Edition
Introduction: Concepts from set Theory. The Integers
The power set of a set / 0.1:
The Cartesian product set. Maps / 0.2:
Equivalence relations. Factoring a map through an equivalence relation / 0.3:
The natural numbers / 0.4:
The number system Z of integers / 0.5:
Some basic arithmetic facts about Z / 0.6:
A word on cardinal numbers / 0.7:
Monoids and Groups / 1:
Monoids of transformations and abstract monoids / 1.1:
Groups of transformations and abstract groups / 1.2:
Isomorphism. Cayley's theorem / 1.3:
Generalized associativity. Commutativity / 1.4:
Submonoids and subgroups generated by a subset. Cyclic groups / 1.5:
Cycle decomposition of permutations / 1.6:
Orbits. Cosets of a subgroup / 1.7:
Congruences. Quotient monoids and groups / 1.8:
Homomorphisms / 1.9:
Subgroups of a homomorphic image. Two basic isomorphism theorems / 1.10:
Free objects. Generators and relations / 1.11:
Groups acting on sets / 1.12:
Sylow's theorems / 1.13:
Rings / 2:
Definition and elementary properties / 2.1:
Types of rings / 2.2:
Matrix rings / 2.3:
Quaternions / 2.4:
Ideals, quotient rings / 2.5:
Ideals and quotient rings for Z / 2.6:
Homomorphisms of rings. Basic theorems / 2.7:
Anti-isomorphisms / 2.8:
Field of fractions of a commutative domain / 2.9:
Polynomial rings / 2.10:
Some properties of polynomial rings and applications / 2.11:
Polynomial functions / 2.12:
Symmetric polynomials / 2.13:
Factorial monoids and rings / 2.14:
Principal ideal domains and Euclidean domains / 2.15:
Polynomial extensions of factorial domains / 2.16:
"Rngs" (rings without unit) / 2.17:
Modules over a Principal Ideal Domain / 3:
Ring of endomorphisms of an abelian group / 3.1:
Left and right modules / 3.2:
Fundamental concepts and results / 3.3:
Free modules and matrices / 3.4:
Direct sums of modules / 3.5:
Finitely generated modules over a p.i.d. Preliminary results / 3.6:
Equivalence of matrices with entries in a p.i.d / 3.7:
Structure theorem for finitely generated modules over a p.i.d / 3.8:
Torsion modules, primary components, invariance theorem / 3.9:
Applications to abelian groups and to linear transformations / 3.10:
The ring of endomorphisms of a finitely generated module over a p.i.d / 3.11:
Galois Theory of Equations / 4:
Preliminary results, some old, some new / 4.1:
Construction with straight-edge and compass / 4.2:
Splitting field of a polynomial / 4.3:
Multiple roots / 4.4:
The Galois group. The fundamental Galois pairing / 4.5:
Some results on finite groups / 4.6:
Galois' criterion for solvability by radicals / 4.7:
The Galois group as permutation group of the roots / 4.8:
The general equation of the nth degree / 4.9:
Equations with rational coefficients and symmetric group as Galois group / 4.10:
Constructible regular n-gons / 4.11:
Transcendence of e and p. The Lindemann-Weierstrass theorem / 4.12:
Finite fields / 4.13:
Special bases for finite dimensional extensions fields / 4.14:
Traces and norms / 4.15:
Mod p reduction / 4.16:
Real Polynomial Equations and Inequalities / 5:
Ordered fields. Real closed fields / 5.1:
Sturm's theorem / 5.2:
Formalized Euclidean algorithm and Sturm's theorem / 5.3:
Elimination procedures. Resultants / 5.4:
Decision method for an algebraic curve / 5.5:
Tarski's theorem / 5.6:
Metric Vector Spaces and the Classical Groups / 6:
Linear functions and bilinear forms / 6.1:
Alternate forms / 6.2:
Quadratic forms and symmetric bilinear forms / 6.3:
Basic concepts of orthogonal geometry / 6.4:
Witt's cancellation theorem / 6.5:
The theorem of Cartan-Dieudonne / 6.6:
Structure of the general linear group GLn(F) / 6.7:
Structure of orthogonal groups / 6.8:
Symplectic geometry. The symplectic group / 6.9:
Orders of orthogonal and symplectic groups over a finite field / 6.10:
Postscript on hermitian forms and unitary geometry / 6.11:
Algebras over a Field / 7:
Definition and examples of associative algebras / 7.1:
Exterior algebras. Application to determinants / 7.2:
Regular matrix representations of associative algebras. Norms and traces / 7.3:
Change of base field. Transitivity of trace and norm / 7.4:
Non-associative algebras. Lie and Jordan algebras / 7.5:
Hurwitz' problem. Composition algebras / 7.6:
Frobenius' and Wedderburn's theorems on associative division algebras / 7.7:
Lattices and Boolean Algebras / 8:
Partially ordered sets and lattices / 8.1:
Distributivity and modularity / 8.2:
The theorem of Jordan-Holder-Dedekind / 8.3:
The lattice of subspaces of a vector space. Fundamental theorem of projective geometry / 8.4:
Boolean algebras / 8.5:
The Mobius function of a partially ordered set / 8.6:
Appendix
Index
Preface
Preface to the First Edition
Introduction: Concepts from set Theory. The Integers
99.

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図書
Burt Totaro
出版情報: New York : Cambridge University Press, 2014  xvi, 228 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 204
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100.

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図書
Michael Artin
出版情報: Boston, Mass. ; Tokyo : Prentice Hall, c2011  xv, 543 p. ; 24 cm
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