Format: Hardback, 352 pages, height x width: 235x155 mm, 73 Illustrations, color; 18 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 11-Jan-2026
ISBN-13: 9789819535958
This book is a collection of selected papers presented at the 28th FAI International Conference on Digitalisation and Artificial Intelligence Revolution in Business Management (28th FAI-DAIRBM 2024), held at UNEC Business School, Azerbaijan State University of Economics, Baku, Azerbaijan, from 18–20 April 2024. It discusses methodologies spanning fuzzy analytics, neural networks, nano-topology, statistical tools and business economics data analytics, making the book an essential resource for faculty, postgraduate students, research scholars and industry professionals seeking insights into computational analytics and mathematical modeling across diverse fields.
The book explores advanced mathematical concepts and computational intelligence approaches, addressing topics such as AI-powered tourism transformation, adaptive control systems, stochastic models for gas consumption forecasting and methods to enhance oilfield equipment reliability. It discusses topics on medical diagnostics, economic security models, traffic light detection by using AI, migration modeling, digitalisation trends, the role of the digital economy in socio-economic efficiency and COVID-19 detection via deep learning. It further analyzes the digitalization of educational products, interdependence models for macroeconomic indicators, digital accountability in communication services, the impact of digital marketing on consumer behavior, rare earth intermetallics, ICT effects on tourism exports in Azerbaijan and employee motivation influenced by financial and non-financial incentives.
Transforming Tourism with AI: A Data-driven Approach to Economic
Improvement.- Remarks on N-soft Topological Space.- Numerical Solutions of
the Mixed Problems with Nonclassical Boundary Conditions.- Under Uncertain
Conditions Adaptive Control of Dynamic Objects.- The Mathematical Model for
Assessing Ukraines Regions Economic Security Level.- Fuzzy Intelligent
Diagnostic System to Assess Human Health.- Traffic Light Detection and
Counter Recognition using Video Images and Artificial Intelligence.-
Simultaneous Equation Model of Interdependence between Ukrainian
Macroeconomic Indicators.- Modelling and Management of Population Migration
Factors and Philosophical Approach to their Research.- Regression Analysis of
the Relationship of Bank Lending to the Real Sector of Economy and the Volume
of GDP in Azerbaijan.- Digitalization of Educational Products and Services:
Factors and Trends.- New Fixed-point Results for an Almost Soft
Z_s-contraction.- The Impact of the Development of Digital Educational
Products on Environmental Protection: Problems and Prospects.- Theorems on
Fixed Points in Parametric Cone Metric Space.- Quantitative and Qualitative
Assessment of the Problems Faced by Chemistry Teachers in Azerbaijan in the
In-school Assessment Process.- Comparison of Analytical Solution of Current
Density with its Experimental Result of an (Sandwich-Type) Amperometric
Biosensor.- The Importance of the Digital Economy in Improving the Efficiency
of the Socio-economic System in Azerbaijan.- Optimizing Risk Integrated
Software Effort Estimation: A Differential Evolution Approach.- Impact of
Financial and Non-financial Incentives on Employee Motivation.- Covid-19
Detection Based on Chest X-ray Learning Images using Deep Learning.- The
Influence of Digital Marketing Strategies on Customers Online Buying
Behavior.- Computational Study of Rare Earth Intermetallic.- Image
Compression using VEDIC Methodology with SPHIT Algorithm for wireless Sensor
Network.- How Do Oil and Gas Reserves Affect the Economic Growth of the CIS
Countries: Evidence from Panel Data Regression.- Family Businesses in Digital
Economy: Challenges and New Prospects.- Implementation Issues of Digital
Accountability in Communication Services.- Assessing the ICT Impact on
Tourism Services Exports in Azerbaijan.- Digitalization. Competition. Global
economy.- Factors influencing Guizhous rural tourism destination loyalty: a
combined Neural Network-Topsis-Structural Equation modeling analysis.
Format: Hardback, 510 pages, height x width: 235x155 mm, 136 Illustrations, color; 34 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 22-Jan-2026
ISBN-13: 9789819538409
This proceedings volume is a collection of 35 chapters presented at the Second International Conference on Artificial Intelligence, Machine Learning and Intelligent Systems (ICAMS-2025), held at the National Institute of Technology Hamirpur, Himachal Pradesh, India, from 7–8 February 2025. It gathers chapters on artificial intelligence, machine learning and intelligence systems. The book discusses how artificial intelligence, machine learning and intelligent systems are revolutionizing engineering and commercial practices through applications of mathematics. Covering diverse topics such as facial recognition security, cryptocurrency and blockchain technologies, automated trading, sustainable inventory management, personalized recommendation systems and IoT-driven smart solutions, the book highlights both theoretical advancements and practical implementations of mathematics across a wide range of disciplines.
Chapter 1. Real-time Unconscious Human Behavior Detection Incorporating Enhanced CSPDarknet53 and YOLOv9.
Chapter 2. Exploring Machine Learning and IoT Technologies for Disease Detection in Cows: A Systematic Review.
Chapter 3. Hybrid Butter Flower Algorithm.
Chapter 4. HEAVY-SARS: Harnessing Explainable AI and Generative Models for Visual Synthetic Data Generation of SARS-CoV-2.
Chapter 5. Infected Hyena Optimizer: A Novel Bio-inspired Metaheuristic Algorithm.
Chapter 6. Socio-nomadic Learning Optimization.
Chapter 7. Binary Tree-based Key Management Scheme for a Ground Station Managing IoT Devices in a Satellite Multicast Communication.
Chapter 8. AI-driven Deterrence System Utilizing YOLO Algorithm for Real-time Wildlife Detection and Mitigation.
Chapter 9. Adaptive Social Robot Navigation Using Vision-Language Models.
Chapter 10. Egocentric Perception for Open Vocabulary Object Rearrangement.
Chapter 11. Sentiment Analysis of Sarcastic Hindi Sentences: Analysis of SVM and XGBoost Models.
Chapter 12. Enhanced Intrusion Detection for Cloud-integrated IoT Networks using Autoencoder-driven Unsupervised Deep Learning.
Chapter 13. Segmentation-based Word Spotting in Handwritten Ayurveda Manuscripts using Siamese Convolutional Network.
Chapter 14. AI-enhanced Pediatric Pneumonia Classification.
Chapter 15. Anomaly Detection in Cryptocurrency Prices.
Chapter 16. GEMNet: Gabor Enhanced Multiscale CNN for Breast Tumor Detection using Biorthogonal Wavelet Transform Features.
Chapter 17. Enhanced Ensemble Learning and Feature Selection for Plant Disease Identification.
Chapter 18. A Novel Review of Obstructive Sleep Apnea Detection using Photoplethysmography.
Chapter 19. Early Detection of Ovarian Cancer from Histopathological Images using Deep Learning Models and Explainable AI.
Chapter 20. Navigating Robot Paths: A Comparative Study of Ant Colony Optimization and Firefly Algorithm for Optimization.
Chapter 21. Adaptive Brake Control for Sustaining Dynamic Stability of Autonomous Vehicles using Markov Decision Process.
Chapter 22. Enhanced IoT Intrusion Detection: Leveraging Dense Autoencoders with Mahalanobis Distance and Gamma-based Thresholding.
Chapter 23. Lidar Point Cloud Quality Assessment in Autonomous Vehicles using Deep Learning Techniques.
Chapter 24. Effective Computer Vision Approach for Surveillance Systems to Detect Stone Crushers.
Chapter 25. Enhancing PCOS Diagnosis with Hybrid ML: Integrating Ultrasound and Clinical Data.
Chapter 26. DNA Splice Junction Prediction using Hybrid Approach of LSTM-GRU Model.
Chapter 27. Machine Learning Techniques-based Predictive Modeling for Wind Speed Forecasting.
Chapter 28. Unsupervised Fabric Defect Detection via Autoencoder Reconstruction and One-class SVM Analysis.
Chapter 29. Predicting Mental Health Issues using Social Media Data: A Machine Learning Approach.
Chapter 30. A Threat Monitoring and Control Unit for Secure Embedded Systems.
Chapter 31. Quantum Steganography-based Least Significant Bit Algorithm for Confidential Data Communication.
Chapter 32. A Survey on Securing the Future of Electric Vehicles and its Charging Stations.
Chapter 33. Automatic Speech Recognition for Telugu Language using Pre-trained Wave2Vec 2.0 Model.
Chapter 34. Secure Biological Data Transfer Using Network Coding.
Chapter 35. MedSum: Medical Video Summarization using Reinforcement Learning.
Format: Paperback / softback, 288 pages, height x width: 235x155 mm, 1 Illustrations, black and white
Series: Lecture Notes in Mathematics
Pub. Date: 03-Jan-2026
ISBN-13: 9783032094490
This book presents a logical system that is able to capture all aspects of modern probability as it is practiced today. The system is then used to rigorously formulate the principle of indifference.
Using nine rules of inductive inference, a calculus of probability is developed that operates directly on sentences without reference to outcomes or sample spaces. Its surprising strength is expressed by three embedding theorems, based on an underlying many-worlds semantics in which random variables play a foundational role.
The calculus allows a formal treatment of the principle of indifference. Roughly speaking, this heuristic idea, which dates back to the time of Laplace, says that we should assign the same probability to two possibilities about which we are "equally ignorant". Despite being almost self-evident, the principle has a problematic history. It is well known to produce paradoxes when used without caution.
This is the first logical system to fully codify modern probability, revealing it to be a form of logic, as Leibniz and Boole envisioned. Modern science is more probabilistic today than ever before. Once shunned by the mainstream, Bayesian ideas now flourish. In such an environment, it is not enough to know how to calculate probabilities. We must understand the nature of probability itself. We must have a conceptual mindset to drive our calculations and our model building. The logical system described in this book lays bare this mindset, showing it to us with explicit clarity.
1. Introduction.-
2. Background.-
3. Propositional Calculus.-
4. Propositional Models.-
5.Predicate Logic.-
6. Real Inductive Theories.-
7. Principle of Indifference.-
References.-
Index of Terms.-
Index of Symbols.
Format: Paperback / softback, 122 pages, height x width: 235x155 mm, 180 Illustrations, black and white
Series: Lecture Notes in Mathematics
Pub. Date: 15-Jan-2026
ISBN-13: 9783032087294
This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory. In particular, recent constructions of cubical systems of univalent type theory are used to determine abstract homotopical semantics of type theory. The celebrated univalence axiom of Voevodsky plays a key role in establishing the basic laws of a model structure, showing that the homotopical interpretation of constructive type theory is not merely possible, but in a certain, precise sense also necessary for the validity of univalence. Fully rigorous proofs are given in diagrammatic style, using the language and methods of categorical logic and topos theory. The intended readers are researchers and graduate students in homotopy theory, type theory, and category theory.
Chapter 1. Introduction.
Chapter 2. Cartesian cubical sets.
Chapter 3. The cofibration weak factorization system.
Chapter 4. The fibration weak factorization system.
Chapter 5. The weak equivalences.
Chapter 6. The Frobenius condition.
Chapter 7. A universal fibration.
Chapter 8. The equivalence extension property.
Chapter 9. The fibration extension property.
Format: Paperback / softback, 578 pages, height x width: 235x155 mm, 62 Illustrations, color; 87 Illustrations, black and white
Series: Lecture Notes in Mathematics
Pub. Date: 12-Jan-2026
ISBN-13: 9783032092182
This book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundational background needed to approach the frontiers of this rapidly evolving field, treating geometric and physical aspects in parallel. After surveying fundamental topics in algebra and geometry, a detailed introduction to higher-rank Teichmüller theory is developed, including FockGoncharov theory for Hitchin representations, maximal representations and the more recent notion of -positivity.
Spectral networks are subsequently introduced, emphasizing their utility in the study of character varieties via the abelianization and non-abelianization maps they define. In parallel, key aspects of four-dimensional gauge dynamics with eight supercharges are explored, including electricmagnetic duality, SeibergWitten theory, and class S theories. The role of spectral networks as a framework for determining and analyzing BPS spectra in class S theories is then examined. The final chapter outlines recent applications of spectral networks across a range of contemporary research areas.
This volume is intended for researchers and advanced students in either mathematics or physics who wish to enter the field.
Preface.-
Motivation and Historical Perspective.-
I. Mathematical Foundation.-
1.The Fundamental Group.-
2.Covering Spaces.-
3.Bundles and Connections.-
4.Hyperbolic Geometry.-
5.Cluster Varieties.-
II Higher-rank Teichmüller Theory.-
6. The Teichmüller Space.-
7.Coordinates on Teichmüller Space.-
8.differentials on a Riemann Surface.-
9.Higher-rank Teichmüller Spaces.-
10.Hitchin Representations.-
11.Maximal Representations.-
12.Positivity.-
III Spectral Networks in Geometry.-
13.Non-degenerate Spectral Networks.-
14.Combinatorial and Analytic Construction.-1
5.Non-abelianization and Abelianization.-
16.WKB Method and Stokes Graphs.-
IV Counting BPS States.-
17.Four-dimensional Supersymmetric Quantum Field Theories.-
18.Four-dimensional N=2 Gauge Theories.-
19.Electric-magnetic Duality.-
20.Seiberg-Witten Theory.-
21.Theories of Class S.-
22.BPS States in Class S Theories.-
V Generalizations.-
23.Exponential Networks.-
24.Three-dimensional Networks.-
25.WKB Cameral Networks.-
26.Nonabelianization for Conformal Virasoro Blocks.
Format: Paperback / softback, 190 pages, height x width: 235x155 mm, 10 Illustrations, black and white
Series: Lecture Notes in Mathematics
Pub. Date: 02-Feb-2026
ISBN-13: 9783032112217
This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational implementation. It collects results previously dispersed throughout the literature, presenting them within a coherent unified framework. In addition to covering numerical methods for fractional diffusion equations, their exact solutions, and their connection to Lévy flights, it also offers an accessible overview of fundamental concepts related to RiemannLiouville fractional derivatives.
By presenting a comprehensive treatment of the fundamental techniques of finite difference methods, the book lays a solid foundation for mastering the intricacies of finite differences for fractional differential equations. The final chapters address scenarios with boundary conditions, filling a gap in the existing literature. Each chapter concludes with exercises designed to help deepen the readers understanding and prepare them for further specialized study.
Written from the perspective of a mathematician who enjoys physics and computation, the volume is intended as a starting point for any researcher who wants to enter into this exciting subject. It will appeal to graduate students and experts from different backgrounds who enjoy digging into mathematical, physical and computational ideas.
Prelude.-
Fractional derivatives: fundamental concepts.-
A governing equation for Lévy flights.-
Consistency, stability and convergence of numerical methods.-
Fractional differential equations in unbounded domains.-
Fractional differential equations in bounded domains: absorbing boundaries.-
Fractional differential equations in bounded domains: reflecting boundaries.-
The road ahead.-
References.
Format: Hardback, 480 pages, height x width: 235x155 mm, 100 Illustrations, color; 23 Illustrations, black and white
Series: Trends in Mathematics
Pub. Date: 19-Feb-2026
ISBN-13: 9783032102805
This volume collects chapters based on talks given at "The Second International Workshop on Mathematics and Physical Sciences," held in July 2024 at the University of Évora, Portugal, which is a conference of the 9th European Congress of Mathematics of the European Mathematical Society. Chapters bring together well-known experts in a variety of areas to discuss recent trends and challenges in mathematics, physics, and the social sciences, and to encourage new collaborations. A wide range of topics are covered, including
Evolutionary dynamics of cellular automata Fluid modeling of blood flow Inverse conductivity problems Passive remote sensing from space Network theoretic modeling of soccer
Advances in Mathematical Modeling in Science, Engineering, and Social Sciences will be a valuable resource for researchers in mathematics and the physical sciences with a broad research interest.
Part I Pure Mathematics.
Chapter 1 Algebraic structure for recombining cellular automata.
Chapter 2 Extending Meadows to the Non-Comutative Case.-
Chapter 3 Determinant-Permanent Relations in Singular Symmetric Matrices.-
Chapter 4 A note on nonlocal supremal functionals.
Chapter 5 Ambrosetti-Prodi alternative for higher-order functional problems.
Chapter 6 Factorisation of the Classical Nonstandard Bounded Functional Interpretation.
Chapter 7 Elementary nonstandard axiomatic systems and standard real numbers.-
Part II Differential Equations & Dynamical Systems.-
Chapter 8 SBH-ellipticity of the relaxed interfacial energy density in the context of second-order structured deformations.
Chapter 9 First-Order Nonlinear Problems with Re ection and Piecewise Constant Dependence.
Chapter 10 Milnor Attractors on pattern iterations of flat-topped tent maps revisited.
Chapter 11 Vasicek and CIR stochastic differential equations models applied to mortality rates.-
Part III Applied Mathematics & Mathematical Modeling.
Chapter 12 Mathematical modelling of global solar radiation using machine learning.
Chapter 13 Modelling and Characterization of Photovoltaic Thermal System an Overview.
Chapter 14 Investigation of Virus Transmission in Plants by Using Time Delay Tool, Curative and Preventive Treatment.
Chapter 15 Passive Seismic Tomography: Evaluating the Effect of Earthquake Clustering on Crustal Structure Accuracy.
Chapter 16 Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities under HVDC Conditions.
Chapter 17 Mathematical Modeling of Collective Behavior in Physical and Social Systems.
Chapter 18 Analysis and Mathematical Recomposition of The Art of the Fugue.-
Part IV Machine Learning & Data Science Applications.
Chapter 19 A Normalized Deep Learning Framework for 2D Linear Elasticity with Graph Neural Networks.
Chapter 20 Portuguese Archives Handwritten Text Recognition of Passport Requisitions.-
Part V Statistics & Estimation Theory.
Chapter 21 Delta method estimation for SDE mixed models: sensitivity to random parameter distribution.
Chapter 22 Modeling Air Quality During Portugal's Fire Season Using Extreme Value Theory.
Chapter 23 Novel and Robust Total Least Squares Estimation Method for Non Linear Models.
Chapter 24 Four Estimation Approaches for Structural Equation Modeling: an Empirical Application in psychosocial risk.
Chapter 25 Statistical information theory and its importance for the development of statistical methods.-
Part VI Optimization & Control in Stochastic Environments.
Chapter 26 Optimal harvesting in randomly varying environments: sensitivity of profit and effort to population and economic parameter.
Chapter 27 State Space Interpretation of Governance: A Control Theoretic Perspective.
Format: Hardback, height x width: 235x155 mm, 17 Illustrations, black and white
Series: Springer Monographs in Mathematics
Pub. Date: 18-Jan-2026
ISBN-13: 9783032086099
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The author is at the forefront of research on the interplay between logic and operator algebras (C*-algebras, in particular). The deep level of scholarship contained in these pages opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make this book a convenient, self-contained source for students. Exercises form an integral part of the text. They widen and deepen the material from the corresponding chapters. Other exercises serve as a warmup for the latter chapters.
This second edition furthers the aims of the first, improving proofs and providing new insights into the relationship between logic and operator algebras. It has been expanded, adding new lemmas, definitions, propositions, and exercises. The book provides a comprehensive analysis of ultraproducts of tracial von Neumann algebras. It also introduces Kirchbergs epsilon-test for ultraproducts and reduced products, along with its strict strengthening.
Preface.-
Part I C*-algebras.-
1. C*-algebras, Abstract and Concrete.-
2. Examples and Constructions of C*-algebras.-
3. Representations of C*-algebras.-
4. Tracial States and Representations of C*-algebras.-
5. Irreducible Representations of C*-algebras.-
Part II Set Theory and Nonseparable C*-algebras.-
6. Infinitary Combinatorics, I.-
7. Infinitary Combinatorics, II: The Metric Case.-
8. Additional Set-Theoretic Axioms.-
9. Set Theory and Quotients.-
10. Constructions of Nonseparable C*-algebras,I: Graph CCR Algebras.-
11. Constructions of Nonseparable C*-algebras,II.-
Part III Massive Quotient algebras.-
12. The Calkin Algebra.-
13. Multiplier Algebras and Coronas.-
14. Gaps and Incompactness.-
15. Degree-1 Saturation.-
16. Full Saturation.-
17. Automorphisms of Massive Quotient C*-Algebras.-
Part IV Appendices.-
A. Axiomatic Set Theory.-
B. Descriptive Set Theory.-
C. Functional Analysis.-
D. Model Theory.-
References.-
List of Symbols.-
Index.
Format: Hardback, 288 pages, height x width: 235x155 mm, 1 Illustrations, black and white
Series: Trends in Mathematics
Pub. Date: 23-Jan-2026
ISBN-13: 9783032091581
This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics minisymposium "Generalizations of Complex Analysis and Applications," held in Spain in July 2024. Specific topics covered include:
Hypercomplex integral transformations Spinors, Lie algebras, Clifford (geometric) algebras and group theory Generalizations of the standard model of particle physics Function theoretical aspects and technological applications
Overview of Hypercomplex Algebra and Analysis.-
8-Dimensional Composition Algebras and the Cayley Plane.-
Embedding the Okubo algebra in Cliffords geometric algebras and vice versa.-
On Born Reciprocal Relativity Theory, The Relativistic Oscillator and the Fulling-Davies-Unruh Effect.-
Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings.-
Octonion quadratic-phase Fourier transform: theory and uncertainty principles.-
Conjugate (1/q, q)-harmonic Polynomials in q-Clifford Analysis.-
Poisson problem on multivector fields in hyperbolic upper-half space H3.-
From Line Transformations to Two-Qubit Quantum Gates.-
Quaternion Principal Component Analysis: Mathematical Foundations and NMR Spectroscopic Applications.-
Singular Value Decomposition for Geometric Algebra modeled AC Electrical Systems.-
Expression Classification Using Slepian-based Rotation Invariants Moments.
Format: Hardback, 356 pages, height x width: 235x155 mm, 13 Illustrations, color; 4 Illustrations, black and white
Series: Infosys Science Foundation Series
Pub. Date: 01-Feb-2026
ISBN-13: 9789819534364
This book presents selected chapters from the program ZariskiDense Subgroups, Number Theory, and Geometric Applications, held at the International Center for Theoretical Sciences (ICTS) in Bengaluru, Karnataka, India, from January 112, 2024. The program encompassed a rich array of topics centered around Zariski-dense subgroups, with connections to algebraic and Lie groups, geometry, and number theory. It highlights the application of Diophantine approximation techniques to questions on linear groups with bounded generation, as well as innovative developments in the BruhatTits theory for algebraic groups over local fields. These ideas were explored through four mini-courses alongside numerous research and expository lectures.
Chapters are published in two volumes: Volume 1 features expanded notes from four mini-courses and two expository talks, while Volume 2 comprises twelve original research articles. Collectively, the volumes make recent advances in the theory of Zariski-dense subgroups accessible to a broad mathematical audience. The topic has continued to draw significant interest, building on discussions from earlier meetings such as the MSRI workshop in Berkeley (2012) and the IPAM workshop at UCLA (2015). Over the past two decades, Zariski-dense subgroups of algebraic groups have become a focal point of intense research, yielding a wealth of results with far-reaching applications. Notably, this line of inquiry has contributed to the construction of expander graphs and the study of spectral gaps, developments that culminated in the theory of superstrong approximation.
Bruhat-Tits Theory: A Structural Introduction.-
Bounded Generation in Linear Groups and Diophantine Approximation.-
Zariski-dense Deformations of Standard Discontinuous Subgroups for Pseudo-
Riemannian Homogeneous Spaces.-
Non-left-oderability of Lattices in Higher Rank Semisimple Lie Groups (after Deroin and Hurtado).-
Mini-course on Uniform Stability of Higher-rank Arithmetic Groups.-
Prasads Volume Formula and its Applications.