1.
ＥＢ
by Steven Roman
2.
ＥＢ
by Anthony W. Knapp
3.
ＥＢ
by Anastasios Mallios
4.
ＥＢ
by Gabriel Daniel Villa Salvador
5.
ＥＢ
by Anastasios Mallios
6.
ＥＢ
edited by H. E. A. Campbell, Aloysius G. Helminck, Hanspeter Kraft, David Wehlau
7.
ＥＢ
by Moshe Jarden
8.
ＥＢ
by Marc Hindry
9.
ＥＢ
edited by Felix Finster, Olaf Müller, Marc Nardmann, Jürgen Tolksdorf, Eberhard Zeidler
10.
ＥＢ
by Michael D. Fried, Moshe Jarden
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 11
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-540-77270-5
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11.
ＥＢ
by Douglas Shafer, Valery Romanovski
12.
ＥＢ
by Nancy Childress
13.
ＥＢ
by Steven H. Weintraub
14.
ＥＢ
edited by Imre Bárány, József Solymosi, Gábor Sági
出版情報:
Berlin, Heidelberg : János Bolyai Mathematical Society and Springer-Verlag, 2010
シリーズ名:
Bolyai Society Mathematical Studies ; 21
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-14444-8
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15.
ＥＢ
edited by Pierre Dèbes, Michel Emsalem, Matthieu Romagny, A. Muhammed Uludağ
目次情報:
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Preface
J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
M. Romagny: Models of curves
A. Cadoret: Galois categories:- M. Emsalem. Fundamental groupoid scheme
N. Borne: Extension of Galois groups by solvable groups, and application to fundamental groups of curves
M.A. Garuti: On the “Galois closure” for finite morphisms
J.-C. Douai: Hasse Principle and Cohomology of Groups
Z. Wojtkowiak: Periods of mixed Tate motives, examples, l-adic side
L. Bary-Soroker and E. Paran: On totally ramified extensions of discrete valued fields
R.-P. Holzapfel and M. Petkova: An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups
Preface
J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
M. Romagny: Models of curves
16.
ＥＢ
by Askold Khovanskii
目次情報:
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Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
1.4 Action of a k-Solvable Group and Representability by k-Radicals
1.5 Galois Equations
1.6 Automorphisms Connected with a Galois Equation
1.7 The Fundamental Theorem of Galois Theory
1.8 A Criterion for Solvability of Equations by Radicals
1.9 A Criterion for Solvability of Equations by k-Radicals
1.10 Unsolvability of Complicated Equations by Solving Simpler Equations
1.11 Finite Fields
Chapter 2 Coverings: 2.1 Coverings over Topological Spaces
2.2 Completion of Finite Coverings over Punctured Riemann Surfaces
Chapter 3 Ramified Coverings and Galois Theory: 3.1 Finite Ramified Coverings and Algebraic Extensions of Fields of Meromorphic Functions
3.2 Geometry of Galois Theory for Extensions of a Field of Meromorphic Functions
References
Index
Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
17.
ＥＢ
by Demetrios Serakos
目次情報:
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1. Introduction
2. Preliminaries
3. Some state space properties
4. State differentiability properties in input-output systems
5. Summary and conclusion
1. Introduction
2. Preliminaries
3. Some state space properties
18.
ＥＢ
by Askold Khovanskii
目次情報:
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Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
3 Solvability and Picard–Vessiot Theory
4 Coverings and Galois Theory
5 One-Dimensional Topological Galois Theory
6 Solvability of Fuchsian Equations
7 Multidimensional Topological Galois Theory
Appendix A: Straightedge and Compass Constructions
Appendix B: Chebyshev Polynomials and Their Inverses
Appendix C: Signatures of Branched Coverings and Solvability in Quadratures
Appendix D: On an Algebraic Version of Hilbert’s 13th Problem
References
Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
19.
ＥＢ
edited by Marie José Bertin, Alina Bucur, Brooke Feigon, Leila Schneps
目次情報:
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Explicit construction of Ramanujan bigraphs
Classifications of Elliptic Fibrations of K3 surfaces
Classifications of Elliptic Functions of a singular K3 Surface
Shalika Germs for Sl(n) and Sp(2n) are Motivic
The Conjectural Relation Between Generalized Shalika Models on SO4n(F) and Symplectic Linear Models on Sp4n(F): A Toy Example
Bad Reduction of Genus Three Curves with Complex Multiplication
Symmetries of Rational Functions Arising in Ecalle's Study of Multiple Zeta Values
On T-Li Coefficients for Rankin-Selberg L-Functions
Galois Representations and Galois Groups over Q.
Explicit construction of Ramanujan bigraphs
Classifications of Elliptic Fibrations of K3 surfaces
Classifications of Elliptic Functions of a singular K3 Surface
20.
ＥＢ
by Steven H. Weintraub
21.
ＥＢ
by Falko Lorenz
22.
ＥＢ
by John M. Howie
23.
ＥＢ
by N. Bourbaki
24.
ＥＢ
by Henri Cohen ; edited by S. Axler, K. A. Ribet
25.
ＥＢ
by Henri Cohen ; edited by S. Axler, K. A. Ribet
26.
ＥＢ
by Anthony W. Knapp
27.
ＥＢ
by Edgar Lee Stout
28.
ＥＢ
edited by Israel Kleiner
29.
ＥＢ
by Falko Lorenz
30.
ＥＢ
by Alexander Levin
31.
ＥＢ
by Daniel Robertz
目次情報:
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Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
Basic Principles and Supplementary Material
References
List of Algorithms
List of Examples
Index of Notation
Index
Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
32.
ＥＢ
by Kishore Marathe
33.
ＥＢ
by Mahendra Nadkarni
目次情報:
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The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
Multiplicity and Rank
The Skew Product
A Theorem of Helson and Parry
Probability Measures on the Circle Group
Baire Category Theorems of Ergodic Theory
Translations of Measures on the Circle
B. Host's Theorem
L∞ Eigenvalues of Non-Singular Automorphisms
Generalities on Systems of Imprimitivity
Dual Systems of Imprimitivity
Saturated Subgroups of the Circle Group
Riesz Products As Spectral Measures
Additional Topics
Calculus of Generalized Riesz Products
The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
34.
ＥＢ
edited by Frank Neumann, Sibylle Schroll
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 330
子書誌情報:
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https://doi.org/10.1007/978-3-030-51795-3
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F. Neumann, S. Schroll, Introduction - Galois Covers, Grothendieck-Teichmüller Theory and Dessins d’Enfants – Interactions between Geometry, Topology, Number Theory and Algebra
F. Neumann, S. Balchin, On the number of rational points of classifying stacks for Chevalley group schemes
F. Catanese, Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds
E. Colombo, P. Frediani, Second fundamental form of the Prym map in the ramified case
B. Fairbairn, Strongly Real Beauville Groups III
F. F. Favale, C. Gleissner, R. Pignatelli, The pluricanonical systems of a product-quotient variety
G. A. Jones, Joining dessins together
M. Kim, Arithmetic Chern-Simons Theory I
M. Lönne, Branch stabilisation for the components of Hurwitz moduli spaces of Galois covers
G. Malić, S. Schroll, Dessins d'enfants and Brauer configuration algebras
É. Raphael, L. Schneps, On the elliptic Kashiwara-Vergne Lie algebra
F. Neumann, S. Schroll, Introduction - Galois Covers, Grothendieck-Teichmüller Theory and Dessins d’Enfants – Interactions between Geometry, Topology, Number Theory and Algebra
F. Neumann, S. Balchin, On the number of rational points of classifying stacks for Chevalley group schemes
F. Catanese, Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds
35.
ＥＢ
edited by Dumitru I. Stamate, Tomasz Szemberg
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 331
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-52111-0
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Nearly normally torsionfree ideals (Andrei-Ciobanu)
Gröbner-nice pairs of ideals (Stamate)
Veneroni maps (Tutaj-Gasi´nska et al.)
On the symbolic powers of binomial edge ideals (Herzog et al.)
Multigraded Betti numbers of some path ideals (Erey)
Depth of an initial ideal (Tsuchiya et al.)
Asymptotic behavior of symmetric ideals: A brief survey (Römer et al.)
On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (Sanyal et al.)
The Bass-Quillen Conjecture and Swan’s question (Popescu)
Licci level Stanley-Reisner ideals with height three and with type two (Yoshida et al.)
Homological and combinatorial properties of powers of cover ideals of graphs (Fakhari)
Fermat-type arrangements (Szpond)
Nearly normally torsionfree ideals (Andrei-Ciobanu)
Gröbner-nice pairs of ideals (Stamate)
Veneroni maps (Tutaj-Gasi´nska et al.)
36.
ＥＢ
by Adriano M. Garsia, Ömer Eğecioğlu
37.
ＥＢ
edited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey
目次情報:
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1. A Geometric Approach to Large Class Groups: A Survey
2. On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields
3. Thue Diophantine Equations: A Survey
4. A Lower Bound for the Class Number of Certain Real Quadratic Fields
5. A Survey of Certain Euclidean Number Fields
Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit
6. Heights and Principal Ideals of Certain Cyclotomic Fields
7. Distribution of Residues Modulo p using the Dirichlet's Class Number Formula
8. On the Class Number Divisibility of Number Fields and Points on Elliptic Curves
9. Small Fields with Large Class Numbers
10. On the Kummer–Vandiver Conjecture: An Extended Abstract
11. Cyclotomic Numbers and Jacobi Sums: A Survey
12. On Lebesgue–Ramanujan–Nagell Type Equations
13. Partial Zeta Values and Class Numbers of R-D Type Real Quadratic Fields
14. A Pair of Quadratic Fields with Class Number Divisible by 3
1. A Geometric Approach to Large Class Groups: A Survey
2. On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields
3. Thue Diophantine Equations: A Survey
38.
ＥＢ
by Dirk Hachenberger, Dieter Jungnickel
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Algorithms and Computation in Mathematics ; 29
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-60806-4
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Basic Algebraic Structures and Elementary Number Theory
Basics on Polynomials- Field Extensions and the Basic Theory of Galois Fields
The Algebraic Closure of a Galois Field
Irreducible Polynomials over Finite Fields
Factorization of Univariate Polynomials over Finite Fields
Matrices over Finite Fields
Basis Representations and Arithmetics
Shift Register Sequences
Characters, Gauss Sums, and the DFT
Normal Bases and Cyclotomic Modules
Complete Normal Bases and Generalized Cyclotomic Modules
Primitive Normal Bases
Primitive Elements in Affin Hyperplanes
List of Symbols
References
Index
Basic Algebraic Structures and Elementary Number Theory
Basics on Polynomials- Field Extensions and the Basic Theory of Galois Fields
The Algebraic Closure of a Galois Field
39.
ＥＢ
edited by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Algorithms and Computation in Mathematics ; 28
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-26454-3
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Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
3 Introduction to Algorithms for D-Modules with Quiver D-Modules
4 Noncommutative Gröbner Bases: Applications and Generalizations
5 Introduction to Computational Algebraic Statistics
Part II Second Byway: Quivers
6 Introduction to Representations of Quivers
7 Introduction to Quiver Varieties
8 On Additive Deligne-Simpson Problems
9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1
Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
40.
ＥＢ
by Fernando Q. Gouvêa
目次情報:
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1 Apéritif
2 Foundations
3 The p-adic Numbers
4 Exploring ℚp
5 Elementary Analysis in ℚp
6 Vector Spaces and Field Extensions
7 Analysis in ℂp
8 Fun With Your New Head
A Sage and GP: A (Very) Quick Introduction
B Hints and Comments on the Problems
C A Brief Glance at the Literature
Bibliography
Index
1 Apéritif
2 Foundations
3 The p-adic Numbers
41.
ＥＢ
by Antoine Chambert-Loir
目次情報:
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Preface
1 Rings
2 Ideals and divisibility
3 Modules
4 Field extensions
5 Modules over principal ideal rings
6 Noetherian and artinian rings. Primary decomposition
7 First steps in homological algebra
8 Tensor products and determinants
9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings
Appendix
References
Index
Preface
1 Rings
2 Ideals and divisibility
42.
ＥＢ
by Gabor Toth
目次情報:
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0. Preliminaries: Sets, Relations, Maps
1. Natural, Integral and Rational Numbers
2. Real Numbers
3. Rational and Real Exponentiation
4. Limits of Real Functions
5. Real Analytic Plane Geometry
6. Polynomial Expressions
7. Polynomial Functions
8. Conics
9. Rational and Algebraic Expressions and Functions
10. Exponential and Logarithmic Functions
11. Trigonometry
Further Reading
Index
0. Preliminaries: Sets, Relations, Maps
1. Natural, Integral and Rational Numbers
2. Real Numbers
43.
ＥＢ
by Tomas Sauer
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Undergraduate Texts in Mathematics and Technology ;
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-84360-1
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1. Continued fractions and what can be done with them
2. Continued fractions of real numbers
3. Rational functions as continued fractions of polynomials
4.Continued Fractions and Gauss
5. Continued Fractions and Prony
6. Digital Signal processing
7.Contined Fractions, Hurwitz and Stieltjes
1. Continued fractions and what can be done with them
2. Continued fractions of real numbers
3. Rational functions as continued fractions of polynomials
44.
ＥＢ
by Alberto Arabia
45.
ＥＢ
by Dan Haran, Moshe Jarden
目次情報:
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- Introduction
1. Topologies
2. Families of Subgroups
3. Free Products of Finitely Many Profinite Groups
4. Generalized Free Products.-5. Relative Embedding Problems
6. Strong Proper Projectivity
7. Étale Profinite Subset of Subgr(G)
8. Fundamental Result
9. Main Result. Bibliography
Index
- Introduction
1. Topologies
2. Families of Subgroups
46.
ＥＢ
edited by Bruno Anglès, Tuan Ngo Dac
47.
ＥＢ
edited by Ayman Badawi, Jim Coykendall
出版情報:
Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 382
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-981-16-8422-7
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David F. Anderson, Dan Anderson and his Mathematics
David F. Anderson, F. GOTTI, Bounded and Finite Factorization Domains
A.A. ALTIDOR, H.E. BRUCH, J.R. JUETT, Factorization and Irreducibility in Modules
M. ZAFRULLAH, On *-Potent Domains and *-Homogeneous Ideals
M. GOTTI, M. M. TIRADOR, On the Set of Molecules of Numerical and Puiseux Monoids
D. E. DOBBS, Where Some Inert Minimal Ring Extensions of A Commutative Ring Come From, II
E. Abuosba and M. Ghanem, A Survey on EM Conditions
David F. Anderson, Some Remarks on the D + M Construction
Roy O. Quintero Contreras, On a Problem about Lowest Terms Domains Posed
S. Kabbaj and F. Suwayyid, Regularity and Related properties in Tensor Products of Algebras over a Field
L. KLINGLER, R. WIEGAND and S. WIEGAND, Tame-Wild Dichotomy for Commutative Noetherian Rings : A Survey
H. ANDEZ-ESPIET, R.M. ORTIZ-ALBINO, On the Characterization of — Atoms
D. D. ANDERSON, P. V. DANCHEV, Bounded Periodic Rings
C. P. MOONEY, On Gracefully and Harmoniously Labeling Zero-Divisor Graphs
T. ASIR, K. MANO, and M. SUBATHRA, A Survey on Genus of Selected Graphs from Commutative Rings
DONG-IL LEE, A Computational Approach to Shephard Groups
M. FARAG and R. P. TUCCI, BZS Near-Rings and Rings
David F. Anderson, Dan Anderson and his Mathematics
David F. Anderson, F. GOTTI, Bounded and Finite Factorization Domains
A.A. ALTIDOR, H.E. BRUCH, J.R. JUETT, Factorization and Irreducibility in Modules
48.
ＥＢ
edited by W. A. Zúñiga-Galindo, Bourama Toni
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health ;
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https://doi.org/10.1007/978-3-030-81976-7
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1. Introduction: advancing non-Archimedean mathematics
2. The p-adic Theory of Automata Functions
3. Chaos in p-adic statistical lattice models: Potts model
4. QFT, RG, an all that, for Mathematicians, in eleven pages
5. Phase operator on L2(Qp) and the zeroes of Fisher and Riemann
6. On non-Archimedean valued fields: a survey of algebraic, topological and metric structures. Analysis and applications
7. Non-Archimedean Models of Morphogenesis
8. p-adic Wave Equation on finite Graph and T0-spaces
9. A Riemann-Roch theorem on network
1. Introduction: advancing non-Archimedean mathematics
2. The p-adic Theory of Automata Functions
3. Chaos in p-adic statistical lattice models: Potts model
49.
ＥＢ
by Manfred Knebusch, Claus Scheiderer
目次情報:
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1 Ordered fields and their real closures
2 Convex valuation rings and real places
3 The real spectrum
4 Recent developments
1 Ordered fields and their real closures
2 Convex valuation rings and real places
3 The real spectrum
50.
ＥＢ
by Anthony A. Ruffa, Bourama Toni
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health ;
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オンライン:
https://doi.org/10.1007/978-3-031-17871-9
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Preface
Chapter. 1. The Generalized Method of Exhaustion
Chapter. 2. The Multivariate Power Substitution and its Variants
Chapter. 3. Additional Multivariate Substitution Variants
Chapter. 4. Miscellaneous Integral Identities
Chapter. 5. The Exponential Integral Function, the Sine Integral and Cosine Integrals
Chapter. 6. The Riemann Zeta Function and the Hurwitz Zeta Function
Chapter. 7. Engineering Applications
Bibliography
Index
Preface
Chapter. 1. The Generalized Method of Exhaustion
Chapter. 2. The Multivariate Power Substitution and its Variants
ＥＢ
