Format: Hardback, 184 pages, height x width: 235x155 mm, 48 Illustrations, color; 1 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 12-May-2026
ISBN-13: 9783032176653
This volume gathers selected, peer-reviewed papers presented at the Sixth Scientific Days of the Doctoral School of Mathematics and Computer Sciences (S2DSMCS), held from December 1719, 2024, at Cheikh Anta Diop University in Dakar, Senegal. The works contained within showcase research activities developed by a new generation of mathematicians and computer scientists from Africa, Europe, Asia, and America.
Covered topics focus on the theory and applications of cryptography, information security, and artificial intelligence, ranging from discrete algebra to specific implementations such as blockchain, machine learning algorithms, and the use of cutting-edge technologies in security contexts.
By fostering cooperation among both young and experienced researchers, the S2DSMSC conference aligns with other conferences in the region, such as Africacrypt - the International Conference on Cryptology in Africa, the Non-commutative Algebra and Operator Theory (NANCAOT) international workshops, and the International Conference in Algebra, Codes, and Cryptology (A2C), all with proceedings published by Springer.
Absolute valued algebras with left unit satisfying (x^2, x^2, x^r)=0
revised.- Mathematical modeling of the dynamics of residual malaria
transmission in areas with low transmission: application to Keur Socé
(Senegal).- A Secure Framework for Medical Data Management Using
Steganography, Cryptography, Blockchain, and AI-Based Validation.- Smart
Edge-AI Models for Real-Time Contamination Detection in Livestock Water
Supplies.- Generalized Subspace Subcodes in the Rank Metric.- Proxy
Cryptography with Post-Quantum Probabilistic Full Domain Hash.- Modelling
malaria transmission by the movement of mosquitoes from hot spot area to
areas of low transmission.- Numerical simulation by nite element method of
the deformation of an embedded plate.- IoTs and AI for sustainable
wastewater management in Senegal: A status report.- On averaging principle
for multidimensional BSDEs driven by fractional Brownian motion.- General
Theory for Diophantine Equations in Fibonacci Sums: An Open Problem.- TTPHW
(Tele-Training Platform for Healthcare Workers) in rural areas of Senegal: an
approach based on VxLAN and Blink technologies.- Mulatu numbers as products
of three repdigits in base h.
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Format: Paperback / softback, 112 pages, height x width: 235x155 mm, 38 Illustrations, color; 4 Illustrations, black and white
Series: Lecture Notes in Mathematics
Pub. Date: 11-May-2026
ISBN-13: 9783032187420
This volume includes lectures presented at the CIME School on PDEs, Control and Deep Learning, held in Cetraro (Italy) from July 22 to 26, 2024. It provides a comprehensive and up-to-date view of the diverse and rapidly evolving field of nonlinear partial differential equations (PDEs), with an emphasis on modeling, analysis, control, and deep learning aspects.
The theory of PDEs interacts closely with almost all areas of physics and many branches of mathematics. As explicit solutions of PDEs are rarely available (except in the simplest cases), numerical approximations play a central role in their study. Machine learning, particularly through artificial neural networks, introduces powerful methods for function approximation through layered structures of interconnected units (neurons) that combine linear transformations and nonlinear activations. Deep learning (the use of neural networks with many hidden layers) has proven to be remarkably eective in a wide range of applications. At the same time, recent advances in PDEs and control theory are beginning to inform machine learning, providing new theoretical perspectives.
The book will be a valuable resource for PhD students and researchers seeking to deepen their understanding of partial differential equations, control, and their connections to modern machine learning.
Chapter 1. Introduction.
Chapter 2. Control Problems for Propagation Fronts and Moving Sets.
Chapter 3. PDEs in Data Science: From Graph Learning to Adversarial Training.
Chapter 4. The Bernoulli Free Boundary Problem.-
Chapter 5. Scientific Machine Learning for differential problems: Integrating physics-based and data-driven approaches.
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Format: Hardback, 362 pages, height x width: 235x155 mm, 39 Illustrations, color
Series: Monographs in Mathematics
Pub. Date: 24-May-2026
ISBN-13: 9783032203021
This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations. These equations are important in many applications, such as material sciences, image processing, and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities and to solve the initial-value problem globally-in-time in a generalized sense.
For the Second Edition, new chapters have been added that describe a recent approach to surface evolution equations based on deterministic discrete two-person games. This game-theoretic interpretation is used to discuss the fattening phenomenon for the curvature flow equation and to provide an alternative proof for convexity preserving properties.
This text is suitable for applied researchers who would like to know the detail of the theory, as well as its flavor; it is also suitable for graduate students interested in the field. Prerequisites include calculus, linear algebra, and some familiarity with semicontinuous functions. Familiarity with differential geometry and the theory of viscosity solutions is not required.
Preface.- Introduction.- Surface Evolution Equations.- Viscosity
Solutions.- Comparison Principle.- Classical Level Set Method.- Set-Theoretic
Approach.- Deterministic Game Interpretations.- Applications of
Game-Theoretic Approach.
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Format: Hardback, 166 pages, height x width: 235x155 mm, 25 Illustrations, color; 12 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 27-May-2026
ISBN-13: 9783032179432
This book focuses on theories and applications of mathematics, statistics, and computing, where they intersect to address real-world problems in various industries. The papers contained within were presented at the 8th ICoMSInternational Conference on Mathematics and Statistics, held in Athens, Greece, from September 2426, 2025.
Organized annually since 2018, the ICoMS conference brings together leading researchers and practitioners from around the world to exchange knowledge and foster cross-disciplinary collaboration in both theoretical and applied fields. The core themes of the conference include, but it is not limited to, statistical inference, computational techniques, and applications involving high-dimensional data and complex datasets.
Delayed Acceptance Markov Chain Monte Carlo for Robust Bayesian
Analysis.- New Chain Sampling Plans (NChSP-1) for Exponential Distribution.-
Hypothesis Tests for Dierence in Zero-Truncated Poisson Parameters.-
Constructing New Two-Sided Chain Sampling Plans (NTSChSP-1) using Minimum
Angle Method (MAM).- Towards Drone-view Building Localization in the Wild: A
Benchmark.- AI Doctor: A Friend or Foe? A Mathematical Analysis of the Impact
of AI Doctors on Patients and Healthcare.- Generalization of Zeckendorfs
Theorem to PLRS.- Differential Privacy Budget Allocation for Quantile
Regression Analysis.- An Algebraic Approach for Computation of Invariant
Manifolds in Non-Integrable Hamiltonian Systems.- Hyperbolic Cosine Function
in Half-Discrete Hilbert's Inequality for Three Variables.- Mathematical
Modeling-Based Analysis: Exploring the Need for Governments to Combat Illegal
Wildlife Trade.- A Conceptual Framework for Artificial Intelligence Adoption
in Data Architecture.
ISBN: 978-981-98-2132-7 (hardcover)
ISBN: 978-981-98-2248-5 (softcover)
This book offers a concise catalogue of the mathematical subjects underpinning modern theoretical physics. It traces the logical progression of ideas from the primitive beginnings of our earliest number systems to the calculation of the transcendental numbers e and π and their uses in complex analysis. What took the human race thousands of years to accomplish is here presented in a coherent, intuitive sequence. Along the way, the book introduces core topics in mathematical physics, including electromagnetism, statistical mechanics, thermodynamics, relativity, and nuclear fission and fusion, breakthroughs that have been foundational to the sophisticated scientific landscape in which we find ourselves.
Topics that are often taught in isolation, at scattered intervals, are
here woven into a unified narrative that prioritises the logical development
of ideas, offering an approach grounded in intuitive reasoning. Whether
encountering these subjects for the first time or seeking to consolidate
earlier learning, readers will benefit from the book's unique perspective
on the underlying structure of mathematics and physics, and how these disciplines have guided humanity from
its early agrarian roots to the intricate, technologically advanced world
of today.
Real Numbers
Geometry
Pythagoras
Some Trigonometric Values
Archimedes and the Evaluation of π
Matrices
The Beginning of Astrophysics
The Scientific Method
Differential Calculus
Infinite Series
The Taylor Series
Calculating π
Newtonian Mechanics
Integral Calculus
The Euler Gamma Function
The Complex Plane
Bessel Functions
Thermodynamics
Advanced Mechanics
Group Theory
Electromagnetics
Darwin
Special Relativity
General Relativity
Quantum Theory
Antimatter
Computing
Nuclear Fission
Nuclear Fusion
Quantum Electrodynamics
Global Warming
The Big Bang
Undergraduates in Physics and Mathematics. General readers with a technical education and interest in the history of mathematics and physics.
World Scientific Collection
Pages: 292
ISBN: 978-981-98-2662-9 (hardcover)
This commemorative volume honors the extraordinary legacy of Nobel Laureate and World Scientific author Professor C N Yang, one of the most influential physicists of the 20th century.
Professor C N Yang's groundbreaking work reshaped modern Physics. He co-developed the Yang–Mills gauge theory, a foundation of the Standard Model, and shared the 1957 Nobel Prize in Physics with Tsung-Dao Lee for their discovery of parity non-conservation. The Yang–Baxter equation further transformed research in quantum physics and mathematics.
World Scientific Publishing was founded in 1981 under the encouragement of Professor C N Yang, whose vision and support were instrumental in our establishment. Over the decades, he has remained a valued author and collaborator, publishing numerous works with us — both as an author and as the subject of books celebrating his life and contributions.
This volume brings together Professor C N Yang's publications with World Scientific, honoring a century long pursuit of knowledge, integrity and discovery.
Sample Chapter(s)
Preface: In Memory of Professor Chen-Ning Yang
Journey through Statistical Mechanics
Thematic Melodies of Twentieth Century Theoretical Physics
C. N. Yang on Symmetry and Physics
Biographical Sketch of C N Yang and His Career
Reflections on Science and Society
Reflections on His Peers
Reflections on Scientific Questions
Technical Research Papers
Readership: Everyone in academia.
Pages: 244
ISBN: 978-1-80061-845-9 (hardcover)
USD 88.00
Logic of Sound and Silence formalises the timbre-texture co-ordinate of avant-garde music through the prism of logic and set theory. Timbres are grouped into sets, and the implementation of set-theoretic operations and the algebra of sets reveal hidden properties and functions of sonoristic structures in music. By characterising co-ordinates, dimensions, and parameters, logic provides a rigorous system of structural analysis for contemporary music.
Philosophical aspects of the book discuss semantics, syntax, and pragmatics in music, while set theoretic and logical formalism advance the art of modern composition, orchestration, systematic musicology, computational music theory, and analysis. The approach establishes equivalences in timbral structures between different music compositions, gives insights into dramaturgy and form, and uncovers the fundamental structural properties in music akin to the innate universal grammar.
Sample Chapter(s)
Foreword by Emeritus Professor Ian Stewart FRS
Chapter 1: Prelude
Foreword by Emeritus Professor Ian Stewart FRS
About the Author
Acknowledgements
Prelude
Logic, Sound, Silence
Set-Theoretic Formalisation of the Timbral-Textural Dimension
Infinities and Cardinalities
Co-ordinates and Parameters of Musical Space-Time
The Timbre-Texture Co-ordinate in Sinfonietta
Timbrally Enhanced Harmony
Virtual and Hidden Polyphony of Timbral-Textural Layers
The Timbre-Texture Co-ordinate in Orchestral Composition
Cathedral Opera — Bridging the Past and the Present
Modal Logic, Tenses and Regular Expressions
Epilogue
Bibliography
Index
This book will be of interest to academics and researchers in the fields of mathematics (especially logic and set theory), musicology, and philosophy, as well as composers and musicians working in avant-garde music. The book will also appeal to mathematically and philosophically minded general readers with an interest in avant-garde music composition, performance, music theory, and analysis.
Pages: 284
ISBN: 978-981-98-2184-6 (hardcover)
In this groundbreaking book, economist and game theorist Michael McBride presents an innovative answer to this question for the sport of baseball: "How is individual performance fairly measured when success depends on teamwork?" The answer is — the Fair-Credit Baseball statistics.
Drawing on the Nobel Prize-winning Shapley Value from coalitional game theory, McBride creates two revolutionary measures of offensive performance: Shapley Run Credits (SRC) and Offensive Shapley Win Credits (OSWC). Unlike traditional baseball statistics, these new measures satisfy mathematical fairness axioms, making them the fairest measures of individual credit in the sport.
McBride combines this theoretical foundation with cutting-edge machine learning to analyse over a century of Major League Baseball data, producing the most accurate measures of offensive performance in baseball history. The result is a sophisticated yet intuitive statistical framework that finally gives players the credit they truly deserve for actual results — not projected or average performance.
Written for academic researchers, sports analysts, and baseball enthusiasts alike, this book successfully bridges complex mathematical theory with practical application. It offers technical rigor for professionals while remaining engaging and accessible for anyone passionate about understanding what really happens on the baseball diamond.
Preface
About the Author
Acknowledgments
Introduction
The Game Theory:
Coalitional Game Theory, the Shapley Value, and Fairness
Shapley Run Credits
Offensive Shapley Win Credits
The Machine Learning:
Construction a Value Function
Training the FCB Classification Model to Do Event-Trigger Scorekeeping, with Robert MacDonald
Predictive Performance of the FCB Classification Model, with Robert MacDonald
The Fair-Credit Statistics in Practice:
Leaderboards
Coalitions
Most Valuable Players
Fair-Credit Heroes
Great Games Revisited
Bibliography
Index
Academic researchers exploring innovative applications of game theory will find a detailed presentation of how coalitional game theory can be applied to baseball statistics; Sports statisticians and analysts — including sabermetricians (baseball analysts) — will discover the mathematical and machine-learning methods behind these new Fair-Credit Baseball statistics; Baseball fans and industry professionals can learn what these statistics reveal about the sport they love, even without delving into the technical calculations; General reader interested in the topic.