Format: Hardback, 249 pages, height x width: 235x155 mm, 1 Illustrations, color; 26 Illustrations, black and white
Series: Trends in Mathematics
Pub. Date: 10-Jan-2026
ISBN-13: 9783032044174
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. Chapters are based on talks given at the 2024 "International Conference on Evolution in Pure and Applied Mathematics" (ICEPAM) held at Akal University Talwandi Sabo. Specific topics covered include module theory, non-associative algebras, geometric solitons, graph theory, and more. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields
On distance spectra of edge corona of graphs.- Generalized Sasakian
space-forms with 𝛽-Kenmotsu structure and Yamabe solitons.- Graphs
Derived from Coatoms of Lattices.- Minkowski-4 Mean Cordial Labeling
Characteristics in Various Graphs.- A survey on commuting automorphisms of
groups.- A study on 𝐹𝑀 Absolutes.- Results on Coupled
Coincidence Point with 𝑌-Cone Metric Spaces.- Applications of
𝑙 Distance Domination of Semigraph.- Results on an identity of
Rogers-Ramanujan type.- The (𝑃𝑘, I) Transformation Graph of a
Graph.- Extended distance energy for some graphs and common fever drugs.-
Radio Geometric Mean Number for Cycle-based Graphs.- Color Connections in
𝑛-Inordinate Invariant Intersection Graphs.- EXPLORATIONS OF
DERIVATIONS IN NEUTROSOPHIC FUZZY IMPLICATIVE IDEALS OF BCK-ALGEBRAS.-
Construction and Classification of Lattice Valued Picture Fuzzy Topologies.-
Fuzzy Pretopology: Equivalent Constructions and Properties.- Direct and
Inverse Problems in Sumsets and Various Groups.- Hypersurfaces as geometric
solitons.- Recent development in biconservative submanifolds.
Format: Hardback, 589 pages, height x width: 235x155 mm, XV, 589 p.
Series: Springer Asia Pacific Mathematics Series
Pub. Date: 25-Nov-2025
ISBN-13: 9789819519743
A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Understanding each of them individually is not so difficult nowadays. What are they pointing toward in their totality, however? This monograph asserts that self-organization may be an answer, searching recent studies on linear and nonlinear partial differential equations. Critical breakthroughs have emerged in accordance with the widely spread classical ideas of J. Liouville in various forms, that is, the spectral, elliptic, surface, and transport theories, in turn. A fusion of them is seen in recently developing research fields—mathematical oncology, non-equilibrium statistical mechanics, dynamical theory, and shape optimization—which taken together may be called the potential for self-organization
1 Spectral Theory.- 2 Surface Theory.- 3 Elliptic Theory: A Classical
and Modern Study.- 4 Transformation Theory.- 5 Potentials of
Self-Organization: A Fusion.
Format: Paperback / softback, 80 pages, height x width: 235x155 mm, 2 Illustrations, black and white
Series: SpringerBriefs in Mathematics
Pub. Date: 04-Dec-2025
ISBN-13: 9783032059130
This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionally, this book provides a comprehensive study of the topological properties of complex vector bundles endowed with actions of magnetic groups. Of particular interest is the description of the tools that will assist in performing the calculations of those invariants for prescribed spaces with magnetic symmetries. One relevant case is the determination of topological invariants in the electronic structure of magnetic crystals. The results of this book will aid researchers in finding the topological invariants of gapped Hamiltonians for specific magnetic symmetries in crystals.
Introduction.- Summary of Results.- Notation.- Magnetic Groups and their
Representations.- Magnetic Equivariant K-Theory.- Applications in Topological
Phases of Matter.- Conclusions and Further Remarks.- Acknowledgements.-
Author's contributions.- Funding Information.- References.
Format: Hardback, 246 pages, height x width: 235x155 mm, 1 Illustrations, black and white
Series: Algebra and Applications
Pub. Date: 05-Dec-2025
ISBN-13: 9783032046192
This book presents the results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest. Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid-1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed.
Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined.
Group Identities on Units of Group Rings.- Group Identities on Symmetric
Units.- Lie Identities on Symmetric Elements.- Nilpotence of and.
Format: Paperback / softback, 102 pages, height x width: 235x155 mm, 9 Illustrations, color; 50 Illustrations, black and white
Series: SpringerBriefs in Mathematical Physics
Pub. Date: 17-Nov-2025
ISBN-13: 9789819528165
This book aims to build on the significant results reported since the publication of "Virtual Turning Points" (VTP). This volume seeks to accelerate this trend by presenting these results in a unified manner, utilizing s-VTP and the integral representation of solutions. This includes the introduction of a non-hereditary turning point (NHTP), which naturally appears by considering tangential systems. NHTP initially causes no issues for the original system, but it creates a new class of VTPs and additional periods when perturbing the equation while keeping its principal part intact.
Integral representations of solutions provide intriguing examples of Stokes geometry (SG). We have selected some particularly illuminating examples and presented them in Sect. 1.5 to address the effects of NHTP and the crossing phenomenon of three ordinary Stokes curves, which were not dealt with in VTP. The most important example suggests that these new phenomena are related to the location of singularities of Borel transformed WKB solutions. Comparing with the second-order case, we study this relationship from the viewpoint of the theory of growing trees already discussed in VTP.
These examples also reveal an impressive fact that NHTP creates a new class
of VTPs through the so-called bicharacteristic chain. Another example visualizes
a leaf-type and a tadpole-type SG, the connection formulas for which are
explicitly computed in this volume. Finally in the Appendix, the activeness
of SG related to the crossing of three Stokes curves is examined, which
requires employment of the exact steepest descent method, a WKB-theoretical
generalization of the traditional steepest descent method, despite its
simple appearance
1 Integral Representation of Solutions and Related Topics.- 2
Degeneration of the Stokes Geometry for Higher-Order Equations.- 3 A
Bicharacteristic Chain Associated with a Non-hereditary Turning Point.-
Appendix A: Confirmation of the Activeness of Some Stokes Curves by Using the
Exact Steepest Descent Method.
Format: Hardback, 215 pages, height x width: 235x155 mm, 12 Illustrations, color; 23 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 23-Dec-2025
ISBN-13: 9783032085481
The Midwestern Conference on Combinatorics and Combinatorial Computing (MCCCC) has a long tradition dating back to the mid-1980s. After a 2-year hiatus due to the COVID-19 pandemic, mathematicians were eager to participate in MCCCC34, the 34th edition of this conference series, which took place from October 21st to 23rd, 2022, at Illinois State University. This volume collects peer-reviewed papers of the participants, covering topics in discrete mathematics and graph theory.
Sum and Difference Sets in Generalized Dihedral Groups.- Geodetic Ratio,
Color Sequences, and Their Relation on Graphs.- Equitable (𝑠,
𝑝)-edge-colorings of 𝐾𝑣.- On Maximum Packings of the
𝜆-Fold Complete 3-Uniform Hypergraph with Loose 4-Paths.- On Loose
5-Cycle Decompositions, Packings, and Coverings of 𝜆-Fold Complete
3-Uniform Hypergraphs.- Sequencings in Semidirect Products via the Polynomial
Method.- Type (𝑎, 𝑏, 𝑐) face-magic labelings of
calendula graphs.- Double-Change Covering Designs with block size 𝑘 =
2 or 3.- A Vertical Recurrence Relation Approach to Riordan Arrays, the
Quasi-Riordan group, and the Extended Riordan Subgroups.- Finiteness theorem
for commutative rings with finite hyper-graph.- Modularity and Heavy-Tailed
Degree Distributions.
Format: Hardback, 448 pages, height x width: 235x155 mm, 157 Illustrations, color; 16 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 04-Jan-2026
ISBN-13: 9789819523139
This proceedings volume comprises selected chapters presented at the International Conference on Applied Mathematics and Mechanics (ICAMM 2023), held at the Indian Institute of Technology Indore, India, from 1820 October 2023. Organized into 32 chapters, it presents the recent advancements, cutting-edge innovations, prevalent trends, real-world challenges and solutions embraced in the applications of mathematics and mechanics. The book is of interest to researchers, students and the practicing engineers working in diverse areas of science and engineering, ranging from mathematical modelling and simulations, applied mathematics, numerical methods, solid and fluid mechanics, elasticity, geomechanics, computational engineering, structural engineering, wave propagation and sustainable construction practice.
Fiedler Linearizations of Multivariable State-space Systems and its Associated System Matrix.-
Two Level Trade Credit Criteria and Discount Policy for Deteriorating Items with Linearly Increasing Demand.-
Thermally-induced Rarefied Gas Flows: An Approach through the Method of Fundamental Solutions.-
Wave Scattering by a Circular Cylinder: A Time-marching Perspective.-
Mathematical Modelling of Hybrid Morphnus Guianensis: Acinonyx Jubatus Soemmeringii Inspired Optimization Algorithm for True Power Loss Reduction.-
An Intelligent System for Nutrition Deficiency Detection using Deep Learning Techniques.-
Application of Deep Learning Techniques for Structural Health Monitoring and Damage Detection in Civil Infrastructure.-
Application of AI/ML in the field of Aircraft Structural Design.-
Mathematical Modeling for Assessing Mechanical Attributes of GGBS Concrete.-
Multiple Stability Switches with Hopf Bifurcation in a Delayed PreyPredator Eco-epidemiological Model.-
Extensive Analysis of Transverse Wave Behavior in a Graded Magneto-Electro-Elastic Half-space with a Corrugated Interface.-
Buckling Analysis of Porous Uni-Directional Functionally Graded Material Sandwich Plate using Sinusoidal Shear Deformation Theory.-
Perspective of Quaternion Algebra in Quantum Mechanics: Quaternion Inverse Gaussian Distribution.-
Free Vibration Analysis of a Porous P-FGM Sandwich Plate using Refined Shear Deformation Theory.-
The Velocity Behavior of the Rayleigh Waves in a Nonlocal Elastic Model Consisting of Sandy Stratum and Porous Semi-infinite Stratum.-
Modeling SH Wave Propagation using Spectral Element Method in Concrete Like Media.-
Love Wave Propagation in a FRV Layer Imperfectly Bonded over a Microstructural Coupled Stress Half-space.-
Unraveling the Dynamics of IoT Epidemics: Mathematical Analysis with a Compartment Model.-
A Probe into Viscous Inflationary Cosmology.-
Taguchi Optimization of AISI D-2 Die Steel using Graphite based Electrical Discharge Coating (EDC).-
An Inventory Model for Deteriorating Goods with Exponential Declining Demand, Partial Stockpiling and Fluctuating Holding and Ordering Cost with Salvage Value.-
A Robust Approach for Exact and Numerical Solutions for Multi-term Mixed-order Fractional Differential Equations.-
Probing the Inflationary Cosmology in f(R, T) Framework with Holographic Background Fluid.-
Comparative Analysis of Rao-1 and Rao-2: Algorithms for Portfolio Optimization.-
Clifford Wavelet Function and Mellin Transform in Clifford Algebra Cl(3, 1) with Interpretation in Quantum Mechanics.-
Genetic Algorithm for Secure Domination Problem.-
Application of the Composite Finite Element framework for Evolution Equation.