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1. Algebra and Galois Theories. 1st ed. 2020
by Régine Douady, Adrien Douady
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-32796-5
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Introduction
Chapter 1. Zorn’s Lemma
Chapter 2. Categories and Functors
Chapter 3. Linear Algebra
Chapter 4. Coverings
Chapter 5. Galois Theory
Chapter 6. Riemann Surfaces
Chapter 7. Dessins d’Enfants
Bibliography
Index of Notation
Introduction
Chapter 1. Zorn’s Lemma
Chapter 2. Categories and Functors
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2. Modular Forms and Related Topics in Number Theory : Kozhikode, India, December 10–14, 2018. 1st ed. 2020
edited by B. Ramakrishnan, Bernhard Heim, Brundaban Sahu
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 340
オンライン: https://doi.org/10.1007/978-981-15-8719-1
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V. K. Adersh, On vanishing of Hecke operators
S. D. Adhikari, B. Roy, and S. Sarkar, On a polynomial method of Rónyai in the study of zero-sum theorems
B. Balasubramanyam, E. Ghate and R. Vangala, p-adic Asai L-functions attached to Bianchi cusp forms
S. Böcherer, Arithmetic properties of vector-valued Siegel modular forms
S. Das, Omega results for Fourier coefficients of half-integral weight and Siegel modular forms
A. Hauffe-Waschbusch and A. Krieg, On Hecke theory for Hermitian modular forms
B. Heim and M. Neuhauser, Sign Changes of the Ramanujan τ-function
A. Kar and M. Ram Murty, The Central Limit Theorem in Algebra and Number Theory
A. Kumar and J. Meher, Rankin-Cohen brackets and identities among eigenforms II
M. Kumari and B. Sahu, Rankin-Cohen type operators for Hilbert-Jacobi forms
M. K. Pandey and B. Ramakrishnan, Determining modular forms of half-integral weight by central values of convolution L-functions
B. Ramakrishnan, B. Sahu and A. K. Singh, On the number of representations of a natural number by certain quaternary quadratic forms
V. P. Ramesh, M. Makeshwari, M. Prithvi and R. Thatchaayini, Identities from Partition of the Symmetric group Sn
M. M. Sreejith, A certain kernel function for L-values of half-integral weight Hecke eigenforms
S. Kotyada and S. Muthukrishnan, On admissible set of primes in real quadratic fields.s
V. K. Adersh, On vanishing of Hecke operators
S. D. Adhikari, B. Roy, and S. Sarkar, On a polynomial method of Rónyai in the study of zero-sum theorems
B. Balasubramanyam, E. Ghate and R. Vangala, p-adic Asai L-functions attached to Bianchi cusp forms
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3. Differential Geometry, Algebra, and Analysis : ICDGAA 2016, New Delhi, India, November 15–17. 1st ed. 2020
edited by Mohammad Hasan Shahid, Mohammad Ashraf, Falleh Al-Solamy, Yasunori Kimura, Gabriel Eduard Vilcu
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 327
オンライン: https://doi.org/10.1007/978-981-15-5455-1
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Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
S. Pandey, R. Prasad and S. K. Verma, Concircular curvature tensor’s properties on Lorentzian para-Sasakian manifolds
Mohd. Aquib, F. R. Al-Solamy, M. Jamali, M. T. Aldossary and M. N. Boyom
Inequalities for statistical submanifolds in Sasakian statistical manifolds
J. Roy, L. I. Piscoran, S. K. Hui, Certain classes of warped product submanifolds of Sasakian manifolds and applications
M. Ahmad, Jae-Bok Jun and M. A. Qayyoom, Hypersurfaces of a metallic Riemannian manifold
M. S. Lone, Willmore surfaces in three dimensional simply isotropic spaces
Part 2 – Algebra: Luisa Cairini, Vincezo De Filippis and G. Scudo, Product of generalized derivations having commuting values on lie ideals
C. Haetinger, M. Ashraf and M. A. Siddeeque, Some extensions theorems in the ring of quotients of *-prime rings
M. Issoual and N. Mahdo, Rings in which every 2-absobing ideal is prime
N. Ur Rehman, M. A. Raza and M. R. Mozumder, A note on skew-commutators with derivations on ideals
N. Dehghani and M. R. Vedadi, A brief survey on semiprime and weakly compressible modules
H. Alhazmi, S. Ali, A. Abbasi and M. R. Mozumder, On commutativity of prime rings with involution involving pair of Derivations
Part 3 – Analysis: T. Ibaraki, S. Kajiba, and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space
Y. Kimura, Convex minimization problems on geodesic spaces and the shrinking projection method with errors
T. Kawasaki, An extension of integrals
D. Kaur and R.K. Mohanty, A higher-order finite difference method for numerical solution of the Kuramoto-Sivashinsky equation
B. Kaur, An extension of the Robe’s problem
N. Rao, A. Wafi and S. Khatoon, Better rate of convergence by modified Integral type operators
R. Gandhi, S. K. Sharma and B. S. Komal, Generalized composition operators and Evaluation Kernel on weighted Hardy space
R. Ali and M. Shahzad, Common solution to generalized general variational-like inequality and hierarchical fixed point problems
Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
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4. Introduction to Soergel Bimodules. 1st ed. 2020
by Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: RSME Springer Series ; 5
オンライン: https://doi.org/10.1007/978-3-030-48826-0
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5. Desingularization: Invariants and Strategy : Application to Dimension 2. 1st ed. 2020
by Vincent Cossart, Uwe Jannsen, Shuji Saito
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2270
オンライン: https://doi.org/10.1007/978-3-030-52640-5
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6. Foundations of the Theory of Parthood : A Study of Mereology. 1st ed. 2020
by Andrzej Pietruszczak
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Trends in Logic, Studia Logica Library ; 54
オンライン: https://doi.org/10.1007/978-3-030-36533-2
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Foreword
Chapter I. Introduction
Chapter II. “Existentially neutral” theories of parthood
Chapter III. Theories of parthood with sum existence axioms
Chapter IV. Theories of parthood without transitivity
Appendix A. Logic and set theory
Appendix B. Algebra
Foreword
Chapter I. Introduction
Chapter II. “Existentially neutral” theories of parthood
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7. A Journey Through The Realm of Numbers : From Quadratic Equations to Quadratic Reciprocity. 1st ed. 2020
by Menny Aka, Manfred Einsiedler, Thomas Ward
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: SUMS Readings ;
オンライン: https://doi.org/10.1007/978-3-030-55233-6
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1 Introduction: Polynomial Equations
2 Cantor's Paradise
3 Sums of Squares
4 Sums of Two Squares
5 Abstract Algebra: Ring Theory
6 Cubic and Quartic Diophantine Equations
7 The Structure of the Group Fp⨯
8 Studying Squares Again
Hints to Selected Exercises
References and further reading
Index
1 Introduction: Polynomial Equations
2 Cantor's Paradise
3 Sums of Squares
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8. Topics in Galois Fields. 1st ed. 2020
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
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
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9. Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression. 2nd ed. 2020
by Arkadii Slinko
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: https://doi.org/10.1007/978-3-030-44074-9
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1 Integers
2 Cryptology
3 Groups
4 Fields
5 Polynomials
6 Secret Sharing
7 Error-Correcting Codes
8 Compression
Appendix A: GAP
Appendix B: Miscellanea
Solutions to Exercises
Index
1 Integers
2 Cryptology
3 Groups
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10. An Invitation to Abstract Mathematics. 2nd ed. 2020
by Béla Bajnok
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-56174-1
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Preface to Instructors
Preface to Students
Acknowledgments
I What's Mathematics
1 Let's Play a Game!
2 What's the Name of the Game?
3 How to Make a Statement
4 What's True in Mathematics?
A Ten Famous Conjectures.-B Ten Famous Theorems
II The Foundations of Mathematics
5 Let's Be Logical!
6 Setting Examples
7 Quantifier Mechanics
8 Let's Be Functional!
C The Foundations of Set Theory
III How to Prove It
9 Universal Proofs
10 The Domino Theory
11 More Domino Games
12 Existential Proofs
D Ten Famous Problems
IV Advanced Math for Beginners
13 Mathematical Structures
14 Working in the Fields (and Other Structures)
15 Group Work
16 Good Relations
17 Order, Please!
18 Now That's the Limit!
19 Sizing It Up
20 Infinite Delights
21 Number Systems Systematically
22 Games Are Valuable!
E Graphic Content
F All Games Considered
G A Top Forty List of Math Theorems
Preface to Instructors
Preface to Students
Acknowledgments