Format: Hardback, 227 pages, height x width: 235x155 mm, X, 227 p., 1 Hardback
Series: Progress in Mathematics 360
Pub. Date: 09-Jul-2025
ISBN-13: 9783031880193
The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. The basic question in this context is the following: How much of the topology of the underlying manifold is visible using moduli spaces of connecting trajectories? The answer provided by classical Morse homology as developed over the last 35 years is that the moduli spaces of isolated connecting gradient trajectories recover the chain homotopy type of the singular chain complex.
The purpose of this monograph is to extend this further: the fundamental classes of the compactified moduli spaces of connecting gradient trajectories allow the construction of a twisting cocycle akin to Browns universal twisting cocycle. As a consequence, the authors define (and compute) Morse homology with coefficients in any differential graded (DG) local system. As particular cases of their construction, they retrieve the singular homology of the total space of Hurewicz fibrations and the usual (Morse) homology with local coefficients. A full theory of Morse homology with DG coefficients is developed, featuring continuation maps, invariance, functoriality, and duality. Beyond applications to topology, this is intended to serve as a blueprint for analogous constructions in Floer theory.
The new material and methods presented in the text will be of interest to a broad range of researchers in topology and symplectic topology. At the same time, the authors are particularly careful to give gentle introductions to the main topics and have structured the text so that it can be easily read at various degrees of detail. As such, the book should already be accessible and of interest to graduate students with a general interest in algebra and topology.
Introduction and Main Results.- Morse vs DG Morse Homology Toolset.-
Comparison of the Barraud-Cornea Cocycle and the Brown Cocycle.- Algebraic
Properties of Twisted Complexes.- Morse Homology with DG-Coefficients:
Construction.- Morse Homology with DG-Coefficients: Invariance.- Fibrations.-
Functoriality: General Properties.- Functoriality: First Definition.-
Functoriality: Second Definition. Cohomology and Poincare Duality.- Shriek
Maps and Poincare Duality for Non-Orientable Manifolds.- Beyond the Case of
Manifolds of Finite Dimension.- Appendix: Comparison of Geometry and Analytic
Orientations in Morse Theory.
Format: Hardback, 500 pages, height x width: 235x155 mm, 194 Illustrations,
color; 45 Illustrations, black and white; X, 500 p. 239 illus., 194 illus. in color.,
Series: Springer Proceedings in Mathematics & Statistics 492
Pub. Date: 06-Jul-2025
ISBN-13: 9783031845161
This volume encapsulates the collective knowledge shared and innovations presented at the 9th International Conference on Computers, Management & Mathematical Sciences (ICCM) 2023 held on the 24th and 25th of August, 2023 at the North Eastern Regional Institute of Science and Technology (NERIST), India. The ICCM 2023 was a hybrid conference, featuring both in-person and virtual attendance and explores the transformative role of computational intelligence in solving complex problems across management and mathematics. Computational intelligence encompasses techniques inspired by the human brain and naturesuch as fuzzy systems, neural networks, and evolutionary computationthat excel in stochastic environments where reasoning is essential to derive meaningful solutions.
The proceedings offer a comprehensive overview of how these powerful algorithms and principles are applied to a diverse array of research challenges, with a particular emphasis on computational aspects in the business domain. Scholars, researchers, and students will find invaluable insights into the development and implementation of innovative methods tailored to real-world scenarios.
Key Highlights:
Application of fuzzy logic to decision-making in uncertain environments. Advances in neural networks for predictive analysis and optimization. Evolutionary computation techniques for addressing complex, multi-variable problems. Insights into computational methods that bridge management theory and mathematical models.
This volume serves as a critical resource for anyone seeking to harness computational intelligence to push the boundaries of research in management and mathematics. Whether you're a student embarking on your academic journey or a seasoned scholar, this book provides the tools and knowledge needed to navigate this dynamic field.
Preface.- Fixed point theorems on B_n- metric space.- IOT Univariate and
Multivariate Time-Series Data Anomaly Detection: A Literature Review.-
Estimate long-term and short-term coastline changes :a case study of Kakinada
Coast, Southeast coast of India.- Machine Learning in Small- and Medium-Sized
Enterprises Knowledge Management: An Overview of the Latest Trends.-
Leveraging Machine Learning Algorithms for Accurate Solar PV Power Prediction
in Real Time.- Real-Time Conversion of American Sign Language Using
Convolutional Neural Network.- RDTP: Reliable Delay Time Protocolwith
Duty-Cycle Optimization in 6LoWPAN-WBAN.- XLNet-LSTM: A Hybrid Architecture
for Efficient MOOCs Evaluation using Deep Transfer Learning.- Empowering the
Next Generation of Wireless Networks: Advanced Machine Learning Techniques
for 5G and Beyond.- An Investigative Study on Anomaly Detection Techniques
Utilizing Interactive Language Models.- A Survey on Customized Algorithm
Approach for Solving Non-Convex Optimization Problems in Machine Learning.- A
Comparative Study of Outlier Detection Algorithms in Diabetes.- An
Application of Gradient Boosting in Laptop Price Prediction.- Metrics
Evaluation on Fake News Detection Using Machine Learning Models.- An
Optimized CNN-Based Approach for Efficient Object Detection Using YOLO.-
Network Intrusion Detection System Using Gradient Boosting Algorithm.-
Effective Water Quality Prediction Using Random Forest Algorithm.- A
Comparative Study for Predicting Airline Passenger Satisfaction.- Exploring
Ensemble Methods for Spam Classification.- Enhancing Security Through Trust
Evaluation Using Hidden Markov Model in VANETs.- A Trusted Routing Scheme
using Reinforcement Model in Mobile Adhoc Networks.- Detecting Monkeypox Skin
Lesions with Deep Learning: A Promising Approach for Early Diagnosis.- Human
Verification System using Neural Networks.- Ganvolution: Image Generation
Using Generative Adversarial Networks.- Drone Detection System Using Image
Processing.- Index.
Bibliog. data: 2025. x, 342 S. X, 342 p. 137 illus., 114 illus. in color. 235 mm
Series: Springer Proceedings in Mathematics & Statistics 496
ISBN-13: 9783031859250
This volume gathers selected, peer-reviewed contributions presented at the 5th International Seminar on Mathematics in Industry ISMI2024, held on September 9-11, 2024 in Kuala Lumpur, Malaysia. Articles in this volume touch on fields such as applied mathematics, applied probability theory and stochastic modeling, statistical modeling, operations research, biomathematics, optimization, inventory management, supply chain, and computational mathematics, all with an emphasis on solutions to real-world problems. Many of the studies contained here closely relate to the United Nations Sustainable Development Goals, namely SDG 9 (Industry) and SDG 3 (Health), potentially inspiring practitioners and scholars to deploy these findings and pursue similar avenues of research.Since its inception in 2013, ISMI has been organized by the Centre for Industrial and Applied Mathematics (UTM-CIAM) and the Department of Mathematical Sciences, Universiti Teknologi Malaysia (UTM) with the
aims of disseminating knowledge, sharing experiences in research on various aspects of industrial mathematics and statistics and fostering collaboration among academia, government agencies, industry, and community.
- Analysis of Carreau Fluid in MHD Natural Convection with Biot Heat Flux and Injection/Suction Effects.- Advanced Thermal Conductivity Enhancement of Hybrid Nanofluid Using Spherical Graphene and Strontium Titanate with CMC Base over a Riga Plate via Caputo-Fabrizio Fractional Derivative.- A Comparative Analysis of Classification Methods for Handling RFID Data Stream on Inventory Management.- Diffie-Hellman Key Exchange Protocol Based On Ring LWE with n Entities.- Spatial Global Numerical Computation of the Integral Equations for the Ruin Probability.- The Orientation of a Rotated Ellipsoid Based on Its Polarization Tensor.- University Teaching Assessment Using Fuzzy Delphi Method with Z-Number Approach.- Squeeze Flow of Ternary Casson Nanofluid with Magnetohydrodynamic, Viscous Dissipation and Thermal Radiation Effect.- Numerical Simulation of Aqueous Humour Flow during Descemet Membrane Detachment under External Heat Sources.- Indoor Transmission of COVID-19 using Advection
Diffusion Equation.- Forecasting Electricity Demand from Battery Electric
Vehicles Using Box-Jenkins Modeling.- Mathematical model and algorithm
for grammatical editing of given words in Uzbek language.- Creation of
a Multi-Functional Device for Real-Time Monitoring of Water Quality.- Valuation
of Basket Options Accommodating Assets Correlation.- Monitoring The Quality
of Water Production Process in Surabaya Using Max-MCUSUM Control Chart
based on Residual Deep Learning LSTM Model.- Generalized Linear Model Approach
on Dengue Incidence in Selangor.- Hybrid Genetic Algorithm for Multi-Period
Inventory Routing Problem with Carbon Cap-and-Trade Policy.- Wave Attenuation
by Seagrass.- Optimization of Green Transportation Routing Problem in Petroleum
Logistics by Ant Colony Algorithm.- Several Functions of Matrix Metalloproteinases
in the Formation of Invadopodia by Level Set Method.- Advanced Production
Planning System for Multiperiod Production Smoothing Problem.- Unsteady
Solute Dispersion through a Catheterized Artery with the Presence of Cosine
and Sine-Shaped Stenoses.
Bibliog. data: 2025. x, 296 S. X, 296 p. 64 illus., 60 illus. in color. 235 mm
Format: Gebunden
Series: Springer Proceedings in Mathematics & Statistics 497
ISBN-13: 9783031890406
his book contains selected, peer-reviewed articles presented at the International Conference on Mathematical Modeling and Modern Applications (M3A_24), held in Istanbul, Turkiye, on June 4 6 2024. The selected articles are all real-life problem oriented and present numerical methods from the following fields: partial differential equations, approximation, applied linear and multilinear algebra, probability and statistics, artificial intelligence and deep learning. The developed tools are of special interest for understanding and taking an active part into the challenges posed by the increasing needs of the industry. A special focus is given to the large-scale methods in response to massive amount of data to process in many problems. Each article contains an initial section enabling non-specialists to grasp the issues at stake in the problem under consideration, as well as theoretical reminders and references enabling readers to deepen their understanding. This will enable rese
archers to present their advances, while at the same time allowing them to be disseminated to industry and students.
A. Badahmane and Y. El Yazidi, New regularized Preconditioner for solving the discrete Lid driven cavity and Flow over backward facing step systems.- O. Benchettou, A. Hafid Bentbib and K. Kreit, Quaternion Subspace Iteration Method with Application in Matrix Completion.- M. Boufi, C. Koukouvinos, and M. Mitrouli, Properties and Applications of Sylvester Hadamard matrices.- N. Barakitis, P. F. Isabella Furci, and S. Serra-Capizzano, An extradimensional approach for distributional results: the case of 2 ×2 block Toeplitz structures.- I. Iordanis and C. Koukouvinos, Exploring the e ectiveness of Progressive Latin Hypercube Sampling in Cluster Analysis.- A. El Hachimi, M. Elalj, K. Jbilou, and A. Ratnani, Generalized L-product for high order tensors and applications using GPU computations.- M. BAHARI, A. HABBAL, and A. RATNANI, Isogeometric Analysis For Image Registration and Segmentation Using Optimal Transport Problem.- M. Hached, K. Jbilou, and Y. Guldogan, A Review on the Num
erical Resolution of Large-Scale Low-rank Differential Matrix Equations.- M. A. Hamadi, K. Jbilou, and A. Ratnani, Tensor Krylov subspaces for model reduction of multilinear time-invariant systems.- I. Iordanis and C. Koukouvinos.- Exploring the effectiveness of Progressive Latin Hypercube Sampling in Cluster Analysis.- A. H. Bentbib, K. Jbilou and S. Khobizy.- Multiplex network completion via similarity learning.- C. Koukouvinos, M. Mitrouli and O. Turek, Using direct versus regularized solvers for realistic statistical models.- S.-E. Chorfi and L. Maniar, Controllability and Inverse Problems for Parabolic Systems with Dynamic Boundary Conditions.- L. Rosier, High-order conditions for an analytic function to be locally positive definite.- H. Safouhi, On the Computation of the Three-Center Nuclear Attraction Integrals.
Bibliog. data: 2025. vi, 202 S. VI, 202 p. 74 illus., 67 illus. in color. 235 mm
Series: Springer Proceedings in Mathematics & Statistics 498
ISBN-13: 9783031894978
This book highlights recent trends in inverse problems and their integration
with computer science, a field rapidly evolving yet underexplored mathematically.
ICMDS 2024 aims to unite scientists to explore the latest in mathematics
and its applications across various scientific disciplines. Key topics
include inverse problems, partial differential equations, mathematical
control, numerical analysis, and computer science. Our goal is to provide
substantial mathematical insights and practical applications to bridge
this gap. With its growing significance in media and industry, this event
promises to attract a diverse audience and foster collaboration across
scientific domains. The main contribution of this book is to give some
sufficient mathematical content with expressive results and accurate applications.
As a growing field, it is gaining a lot of attention both in media as well
as in the industry world, which will attract the interest of readers from
different scientist discipline.
L. Afraites, M. Srati, A. Oulmelk, Solving a Time-Dependent Source Problem for a Time-Fractional Diffusion Equation with Two Numerical Approaches.- Y. Belkheiri, A. Boudjelal, A. Elmoataz, S. Sch`upp, The Game p-Laplacian Evolution Equation on Graphs: From Image Processing to Machine Learning Applications.- A. Boukdir, A. Laghrib, M. Nachaoui, Hybrid Model for Image Denoising Using Variable Exponents: A Novel High-Order PDE Framework with Local-Nonlocal Coupling.- A. Nachaoui, Sudad M. Rasheed, Gulnar W. Sadiq, A Semi-Analytical Solution for Inverse Cauchy Problems.- A. Nachaoui, L. Gontier, Analytical Solutions for Inverse Cauchy Problems: A Comparative Study.- M. Essahraoui, E. Cherrat, L. Afraites, J. Fergy Tiongson Rabago, Simultaneous Recovery of Corroded Boundaries and Admittance Using the Kohn-Vogelius Method.- F.-E. Limami, A. Laghrib, L. Afraites, A Primal-Dual Approach to Fractional Optimal Control in Non-Smooth Machine Learning: FODE-Based Solutions for Enhanced Ima
ge Denoising.- H. Hamdi, M. Ziouane, A. Nachaoui, M. Nachaoui, Regularization and Solution of the Cauchy Problem in Anisotropic Heat Conduction.- A. Nachaoui, Gulnar W. Sadiq, Identification of a Space-Dependent Force in a Hyperbolic Equation Using a Polynomial Expansion.- A. Nachaoui, Cauchy s Problem for the Modified Biharmonic Equation: Derivation and Decoupled Iterative Methods.- M. Nacereddine Toros, M. Nachaoui, M. Johri, A. Laghrib, A Hybrid Image Restoration Approach: Integrating Coherence Transport and Anisotropic Diffusion.- Y. El Mobariki, A. Laghrib, Total Variation Regularized Sparse Image Deconvolution via Accelerated Condat Vu Algorithm.- M. Ziouane, H. Hamdi, M. Nachaoui, A. Nachaoui, A Deep Numerical Study of BFGS and LBFGS Methods for Solving Optimization Problems Arising from Inverse Applications.- Z. Zaabouli, A. Mohssine, L. Afraites, A. Laghrib, A Time-Fractional Approach to High-Order PDE Systems in Image Denoising.
Bibliog. data: 2025. vi, 187 S. VI, 187 p. 62 illus., 50 illus. in color. 235 mm
Series: Springer Proceedings in Mathematics & Statistics 500
ISBN-13: 9783031905452
This proceedings volume convenes revised, selected works presented at the 3rd International Seminar on Computing Technologies and Applied Mathematics (CTAM2024), held at Komsomolsk-na-Amure State University, Russia, from October 7 to 11, 2024. The seminar brought together a diverse group of international experts and young scientists from Germany, China, South Korea, Uzbekistan, and Russia to exchange the latest results and original ideas on the use of computing technologies and applied mathematics tools in both fundamental and applied research.Topics covered in this volume include the development of theoretical foundations, methods, and algorithms for implementing mathematical and computational models. The subjects ranged from health to logistics, with many devoted to algorithm optimization. Industrial applications are also covered, with studies of digital twins and quantum and evolutionary algorithms.By bridging academia and industry, this volume can benefit g
raduate students, experienced researchers, and industry practitioners alike, fostering both practical implementations in real-world scenarios and innovative avenues of applied research.
Preface.- Information-Mathematical Support of Digital Twin of Stand-Alone Hybrid Energy System.- Quadratic Programming in a Model of Resource Distribution in Agriculture Based on Quantum Approximate Optimization Algorithm.- The Detection of a Jump-like Gaussian Random Disturbance When Appearance Time and Dispersion is Unknown.- Mathematical Analysis of Disturbing Forces in the Air Gap of an Asynchronous Motor Using Finite Element Modeling.- Information-Analytical System for Fractal and Neural Network Diagnostics of Computed Tomography Images of the Lungs.- Optimizing Resources in Information and Telecommunication Systems on the Base of Mathematical Simulation.- Application of Quantum Swarm Algorithm in Global Optimization.- Genetic Algorithm for Sequential Optimization of Data Sampling for Construction Surrogate Models.- Beltrami-Mitchell Equations for the Case of Incompatible Deformations.- Optimization of Cargo Delivery Route to Nearby Cities.- Refinement of Variable Order F
ractional Derivative of Gerasimov-Caputo Type by Multidimensional Levenberg-Marquardt Optimization Method.- Computational Approach to Modeling Nutrient-Dependent Growth of Bacterial Patterns with Time Delay Effect.- A Combined Approach to the Classification and Se-Mantic Segmentation of Production Tools Through the use of the One-Shot Learning Method.- The Kolmogorov-Smirnov Mathematical Test for Vectors of the Digital Twin of an Enterprise.
Format: Hardback, 295 pages, height x width: 235x155 mm, 4 Illustrations,
color; 8 Illustrations, black and white; XII, 295 p. 12 illus., 4 illus. in color.,
Series: Infosys Science Foundation Series in Mathematical Sciences
Pub. Date: 28-Jul-2025
ISBN-13: 9789819650194
This book, Differential Geometry: Foundations of Cauchy?Riemann and Pseudohermitian Geometry (Book I-C), is the third in a series of four books presenting a choice of topics, among fundamental and more advanced, in Cauchy?Riemann (CR) and pseudohermitian geometry, such as Lewy operators, CR structures and the tangential CR equations, the Levi form, Tanaka?Webster connections, sub-Laplacians, pseudohermitian sectional curvature, and Kohn?Rossi cohomology of the tangential CR complex. Recent results on submanifolds of Hermitian and Sasakian manifolds are presented, from the viewpoint of the geometry of the second fundamental form of an isometric immersion. The book has two souls, those of Complex Analysis versus Riemannian geometry, and attempts to fill in the gap among the two. The other three books of the series are:
Differential Geometry: Manifolds, Bundles, Characteristic Classes (Book I-A)
Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B)
Differential Geometry: Advanced Topics in Cauchy?Riemann and Pseudohermitian Geometry (Book I-D)
The four books belong to an ampler book project “Differential Geometry, Partial Differential Equations, and Mathematical Physics”, by the same authors, and aim to demonstrate how certain portions of differential geometry (DG) and the theory of partial differential equations (PDEs) apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG and PDEs machinery yet do not constitute a comprehensive treatise on DG or PDEs, but rather authors’ choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions?isometric, holomorphic, and CR?and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.
CauchyRiemann manifolds.- Pseudohermitian geometry.- Tangential
CauchyRiemann complex.- Submanifolds of Hermitian and Sasakian manifolds.