Format: Hardback, 466 pages, height x width: 235x155 mm, 4 Illustrations, color; 20 Illustrations, black and white; XVIII, 466 p. 24 illus., 4 illus. in color.
Series: Springer Proceedings in Mathematics & Statistics 392
Pub. Date: 03-Oct-2022
ISBN-13: 9789811938979
This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17?19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.
On Traces of Permuting N-Derivations on Prime Ideals.- Module Hulls versus Ring Hulls.- Two Remarks on Generalized Skew Derivations in Prime Rings.- Recent Developments in Dimensional Dual Hyperovals.- On Derivations in Rings with Involution: A Survey.- On Constacyclic and Quantum Codes over a Finite Ring.- Jordan Product Preserving Generalized Skew Derivations on Lie Ideals.- Cyclic and LCD Codes over a Finite Commutative Semi-local Ring.- On Closed Weak Supplemented Lattices.- A Study of Left Multiplier in 3-Prime Near-Ring.- On w-FP-Projective Modules and Dimension.- Graph-induced Magma Algebras and Amenability of Bases.- Modules Invariant under Almost Clean Endomorphism of its Injective Hulls.- On Generalised of Annihilating-ideal Graph of Commutative Rings.- Generalised Involving Akew Lie-product in Rings with Involution.- Rank-Metric Codes with Full Weight Spectrum.- Recent Results on the Graphs of Finite Dimensional Vector Spaces: A Survey.- Central Values of X-Generalized Skew Derivations on Right Ideals in Prime Rings.- Some Aspects of FI-semi Injective Modules.- Local Subsemigroups and Variants of Some Classes of Semigroups.- A Note on FMS Modules and FCP Extensions.- A Generalization of Exchange Ring.- On b-Generalized Derivations in Prime Rings.- On Commutativity with Endomorphisms Acting on Prime Ideals.- Complement of the Generalized Total Graph of Commutative Rings: A Survey.- Structure of Prime Near-Ring with Generalized Multiplicative Derivation.- A Note on Central Idempotents in Finite Group Rings of Symmetric Groups.- Remarks on Reed Muller Codes.- Generalized Derivations of *-Prime Rings.- Group Action on Nearrings.- On Certain Identity Related to Jordan *-Derivations in Standard Operator Algebras.- Prime Rings with Generalized Derivations and Power Values on Lie Ideals.- Eigenvalues and Wiener Index of Graphs Over Rings: A Survey.- Basic One-sided Ideals of a Leavitt Path Algebras over Commutative Rings.- Commutativity of Semiprime Rings in Banach Algebras.- Variational Analysis of Neighbouring Defective Matrices.- On Distance Laplacian Eigenvalues of Commuting Graphs Associated to Dihedral and Dicyclic Groups.- Identities Involving Derivations and Automorphisms in Rings.
Format: Paperback / softback, 216 pages, height x width: 235x155 mm, 67 Illustrations, black and white; IV, 216 p. 67 illus.
Series: Lecture Notes in Mathematics 2310
Pub. Date: 07-Oct-2022
ISBN-13: 9783031101441
This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym varieties of pairs of subcovers. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations. Several isogenies between Prym varieties also result.
Introduction.- Preliminaries and basic results.- Finite covers of curves.- Covers of degree 2 and 3.- Covers of degree 4.- Some special groups and complete decomposabality.- Bibliography.- Index.
Format: Paperback / softback, 140 pages, height x width: 235x155 mm, 20 Tables, color; 22 Illustrations, color;
7 Illustrations, black and white; X, 140 p. 29 illus., 22 illus. in color.,
Series: Lecture Notes in Mathematics 2318
Pub. Date: 02-Nov-2022
ISBN-13: 9783031126154
This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations.
Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system.
A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models.
An account of the mixed formulation for Dirichlet’s boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints.
This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
1. Introduction.-
2. Mixed Problems.-
3. Iterative solvers for mixed problems.-
4. Numerical results.-
5. The sliding contact problem.-
6. Solving problems with more than one constraint.-
7. Conclusion.
Format: Hardback, 292 pages, height x width: 235x155 mm, 76 Illustrations, color; 16 Illustrations, black and white; X, 292 p. 92 illus., 76 illus. in color.
Series: Foundations for Undergraduate Research in Mathematics
Pub. Date: 25-Oct-2022
ISBN-13: 9783031085635
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
lattice walks in the plane
statistical modeling of survival data
building blocks and geometry
modeling of weather and climate change
mathematics of risk and insurance
Mathematics Research for the Beginning Student, Volume 2 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have not yet studied calculus is also available.
Constructible Pi and other block-based adventures in geometry.- Numerical Simulation of Arterial Blood Flow.- Statistical tools and techniques in modeling survival data.- So you want to price and invest in options?.- The Spiking Neuron.- Counting lattice walks in the plane.- The Mathematics of Host-Parasitoid Population Dynamics.- Mathematical Modeling of Weather and Climate Change.- Beyond Trends and Patterns: Importance of the Reproduction Number from Narratives to the Dynamics of Mathematical Models.- Application of Mathematics to Risk and Insurance.
Format: Hardback, 301 pages, height x width: 235x155 mm, 103 Illustrations, color;
108 Illustrations, black and white; VIII, 301 p. 211 illus., 103 illus. in color.
Series: Foundations for Undergraduate Research in Mathematics
Pub. Date: 15-Oct-2022
ISBN-13: 9783031085598
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
games on graphs
modeling of biological systems
mosaics and virtual knots
mathematics for sustainable humanity
mathematical epidemiology
Mathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.
Games on Graphs.- Mathematics for Sustainable Humanity--Population, Climate, Energy, Economy, Policy, and Social Justice.- Mosaics and Virtual Knots.- Graph Labelings: A Prime Area to Explore.- Acrobatics in a Parametric Arena.- But Who Should Have Won? Simulating Outcomes of Judging Protocols and Ranking Systems.- Modeling of biological systems: from algebra to calculus and computer simulations.- Population Dynamics of Infectious Diseases.- Playing with Knots.
Format: Hardback, 385 pages, height x width: 235x155 mm, XV, 385 p
Series: Applied and Numerical Harmonic Analysis
Pub. Date: 10-Dec-2022
ISBN-13: 9783030458461
Alex Grossmann (1930-2019) carried out pioneering work on wavelet analysis with Jean Morlet, demonstrating its applicability to signal processing. Grossmann subsequently made significant contributions to mathematics, physics, computer science, and biology. This contributed volume features chapters written by collaborators of Grossmann and researchers whom he influenced in a decisive way. Just as Grossmann's work spanned numerous subjects, so do the chapters here, with a focus on theoretical physics, wavelets and mathematical analysis, and theoretical biology and genetics. Serving as an introduction to the volume are a scientific biography of Grossmann, as well as a more personal biography written by his son. Readers from any of the fields on which Grossmann had an impact will find this an insightful and informative work.
Thiery, A Scientific Biography of Alex Grossmann.- Grossmann, A Personal Look at his Life and Legacy.- Alaifari, Ill-Posed Problems: From Linear to Non-Linear and Beyond.- Maurer, Concentration Inequalities.- De Vito, Rosasco, Rudi, Regularization and Large Scale Machine Learning.- Bartolucci, De Mari, Monti, Unitarization of the Radon Transform on Symmetric Spaces.- Salzo, Villa, Proximal Gradient Methods for Machine Learning and Imaging.