Conference proceedings
Mar 2026
Includes contributions of researchers from underrepresented regions
Features work from leading experts in microlocal and harmonic analysis
Strengthens the collaboration of the ISAAC congress in developing countries
Part of the book series: Trends in Mathematics (TM, volume 17)
Part of the book sub series: Research Perspectives Ghent Analysis and PDE Center (RPGAPC)
The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America). Topics covered include microlocal analysis, spectral theory, Clifford and hypercomplex analysis, pseudo-differential and Fourier integral operators, harmonic analysis over non-commutative structures, PDE on nilpotent Lie groups, fractional diffusion models, conservation laws, and dispersive equations. This book will be of interest to researchers working in these topics.
Book
Feb 2026
Provides a comprehensive introduction to the rapidly expanding field of model theoretic algebra
Proves a qualitative version of the Malliaris-Shelah regularity lemma for stable graphs
Gives a self-contained exposition of two cornerstones of the geometry theory of algebraically closed valued fields
Part of the book series: Fields Institute Communications (FIC, volume 92)
This book provides an entry into some the key areas of research in contemporary model theory. Model theory, a branch of mathematical logic, is an exciting and vibrant discipline. Advances in pure model theory drive applications in algebra, algebraic geometry, analysis, combinatorics and number theory. The contributing authors are leaders in the field, both senior and junior, including Anand Pillay, Zoé Chatzidakis, Gabriel Conant, Caroline Terry, Itay Kaplan, Rahim Moosa and Silvain Rideau-Kikuchi.
This book introduces readers to contemporary stability theory, the model theory of finite and pseudo-finite fields, the model theory of differential fields, and the basics of simplicity theory and NSOP1 theories, which culminate in proving the symmetry of Kim-independence. Contributors give a detailed proof of a qualitative version of the Malliaris-Shelah regularity lemma for stable graphs using only basic local stability theory and an ultraproduct construction. Additionally, contributors give self-contained exposition of two cornerstones of the geometric theory of algebraically closed valued fields. The first is a description of the definable sets in the guise of an elimination of quantifiers, essentially dating back to Robinson's work. The second is a description of all interpretable set in the guise of the Haskell-Hrushovski-Macpherson elimination of imaginaries.
Book
Feb 2026
Integrates classical averaging theory with modern numerical bifurcation techniques
Connects nonlinear dynamics, oscillations, and chaos through rich applied examples
Offers a unified analytic–computational approach for complex physical and engineering systems
Part of the book series: Applied Mathematical Sciences (AMS, volume 223)
This book presents a comprehensive and practical survey of averaging methods for differential equations. Combining rigorous theory with applied perspectives, this book serves as both a study text and a reference for mathematicians and scientists in fields such as engineering, physics, and biology.
Divided into two complementary parts, the book begins with Part I, the Toolbox of Averaging Theorems, providing clear definitions, theorem formulations, and foundational results. While mathematicians may be content with existence proofs and qualitative analyses, applied scientists require tools that link theory to real-world problems—an essential motivation for Part II.
Part II explores applications in physics and engineering, blending theory with practice and incorporating numerical bifurcation analysis using tools such as AUTO, Mathematica, and MatCont. Interspersed theoretical interludes provide the background necessary for understanding and applying these methods.
Highlights include:
Hamiltonian systems (Ch. 9), examining resonance phenomena in physics and engineering.
Fermi-Pasta-Ulam chains (Ch. 10), extending fundamental theory.
Parametric excitation (Ch. 11) and dissipation-induced instability (Ch. 13), showcasing classical but lesser-known engineering results.
Coupled oscillators and chaos (Ch. 12), a detailed exploration of complex nonlinear dynamics.
Diffusion and waves (Ch. 14), providing essential guidance while pointing to broader material for further study.
Whether as a reference, teaching aid, or bridge between theory and application, Averaging for Nonlinear Dynamics equips readers with the tools to analyze, approximate, and apply nonlinear systems across a wide range of scientific disciplines.
Textbook
Feb 2026
Provides the fundamentals of computational social networks
Discusses combinatorial optimization problems raised from computational social networks
Explores current active research topics in computational social networks
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 234)
This book offers a comprehensive exploration of computational social networks, focusing on the algorithmic and optimization aspects crucial for applications across diverse domains. As social data proliferates through platforms like Facebook, LinkedIn, and Skype, the need for efficient techniques to extract meaningful insights becomes paramount. This volume provides readers with a robust foundation in computational methods tailored for social networks.
Key concepts include combinatorial optimization, machine learning applications, and advanced computational techniques. The chapters are meticulously organized to guide readers through fundamental knowledge, optimization strategies, and cutting-edge topics in the field. By integrating lecture notes and selected materials from leading IEEE/ACM publications, this book serves as an essential resource for understanding the complexities of social data analysis.
Designed for graduate and senior undergraduate students in computer science and applied mathematics, this book assumes a foundational knowledge of programming and algorithm design. It is an invaluable tool for those seeking to harness the power of computational social networks in fields such as public safety, viral marketing, and misinformation clarification.
Book
Mar 2026
Presents the complete theory of this class of operators in one place
Explores connections with semigroups
Covers a wide range of related topics with clarity and precision
Part of the book series: Operator Theory: Advances and Applications (OT, volume 312)
This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties. Ritt operators and their functional calculus have natural connections with various topics such as semigroups and sectorial operators. However, in this monograph, Ritt operators are considered on their own right. A special emphasis is given to Ritt operators acting on either Hilbert spaces, Lp-spaces or non-commutative Lp-spaces.
Researchers wishing to familiarize themselves with Ritt operators and their properties will find this book a valuable resource. A number of appendices are included, providing necessary background information and making the topic accessible to a wide mathematical audience.
Conference proceedings
Mar 2026
Discusses optimization algorithms in particle swarm optimization, differential evolution, genetic algorithms and TLBO
Provides comparative study on metaheuristic techniques for applications in energy, transportation and financial modeling
Focuses on sustainable optimization under environmental constraints and green technology adoption
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 524)
This book offers a comprehensive collection of 33 research contributions presented at the 13th International Conference on Soft Computing for Problem Solving (SocProS 2025): Artificial Intelligence for Viksit Bharat, held at the Indian Institute of Technology Roorkee, Uttrakhand, India, from 24th to 26th February 2025. It focusses on the powerful interplay between advanced mathematical methods and optimization techniques. The book features research on diverse topics, such as fractional calculus, swarm intelligence, fuzzy logic, neutrosophic theory, decision-making models and resource optimization in engineering systems.
Focusing on topics related to optimization in energy production and consumption, the book emphasizes applications that directly relate to SDG 7 (Affordable and Clean Energy). It also discusses application in smart networks, inventory management, metro rail construction, financial market modeling and sustainable practices. Special attention is given to metaheuristic algorithms, multi-objective optimization problems, predictive modeling and the analytical solutions of complex differential systems. It serves as a valuable reference for researchers and practitioners in applied mathematics, computer science, engineering optimization and operations research. The book bridges theoretical foundations with practical solutions to modern, real-world problems, emphasizing interdisciplinary approaches and computational techniques.
This book offers a comprehensive collection of 33 research contributions presented at the 13th International Conference on Soft Computing for Problem Solving (SocProS 2025): Artificial Intelligence for Viksit Bharat, held at the Indian Institute of Technology Roorkee, Uttrakhand, India, from 24th to 26th February 2025. It focusses on the powerful interplay between advanced mathematical methods and optimization techniques. The book features research on diverse topics, such as fractional calculus, swarm intelligence, fuzzy logic, neutrosophic theory, decision-making models and resource optimization in engineering systems.
Focusing on topics related to optimization in energy production and consumption, the book emphasizes applications that directly relate to SDG 7 (Affordable and Clean Energy). It also discusses application in smart networks, inventory management, metro rail construction, financial market modeling and sustainable practices. Special attention is given to metaheuristic algorithms, multi-objective optimization problems, predictive modeling and the analytical solutions of complex differential systems. It serves as a valuable reference for researchers and practitioners in applied mathematics, computer science, engineering optimization and operations research. The book bridges theoretical foundations with practical solutions to modern, real-world problems, emphasizing interdisciplinary approaches and computational techniques.
Conference proceedings
Feb 2026
Investigates the latest advancements in combinatorics and graph theory
Offers perspectives from top experts in mathematics and computer science
Applicable to many real-world problems in business, industry, and government
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 525)
This proceedings volume compiles selected, revised papers presented at the 55th Southeastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC 2024), which took place at Florida Atlantic University in Boca Raton, USA, from March 4th to 8th, 2024. The SEICCGTC is widely regarded as a trendsetter for other conferences worldwide. Many ideas and themes initially discussed here have subsequently been explored in other conferences and symposia. Since 1970, the conference has been held annually in Baton Rouge, Louisiana, and Boca Raton, Florida. Over the years, it has grown to become the primary annual conference in its field, playing a crucial role in disseminating results and fostering collaborative work. This volume is tailored for the community of pure and applied mathematicians in academia, industry, and government, who work in combinatorics and graph theory, as well as related areas of computer science and the intersections among these fields.
Conference proceedings
Mar 2026
Includes chapters on dynamical systems, graph theory, machine learning and deep learning approaches and fluid dynamics
Discusses real-world problems using advanced dynamical system , impacting physics, healthcare and socio-economics
Introduces innovative graph theory concepts with applications in labeling, spectral analysis and algorithmic coloring
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 529)
This proceedings volume contains chapters presented at the International Conference on Emerging Frontiers in Nonlinear Complex Systems, Computational Intelligence and their Applications (ICNCS 2024), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu, India, from 7–9 February 2024. Divided into seven parts—dynamical systems, graph theory, image processing, fuzzy set theory, machine learning and deep learning approaches, fluid dynamics and pure mathematics—the book has 47 chapters on these topics.
It brings together experts in nonlinear dynamics and computational intelligence from across the world. The book provides a valuable resource for participants, facilitating engagement with research teams and communities working on similar topics while contributing to the dissemination of new ideas and advancements in the field. Designed for researchers and students pursuing mathematics and interdisciplinary studies, the book highlights cutting-edge developments that push the boundaries of knowledge. As technology evolves, the insights presented in the book will shape the future of nonlinear systems and computational intelligence, paving the way for transformative breakthroughs with far-reaching implications.