Mathematics

Freeform lens design has numerous applications in imaging, aerospace, and biomedicine.

This volume on the latest developments in statistical modelling is a collection of refereed papers presented at the 38th International Workshop on Statistical Modelling, IWSM 2024, held from 14 to 19 July 2024 in Durham, UK.

The main themes of this book are non-Kahler complex surfaces and strongly pseudoconcave complex surfaces.

The book provides a self-contained and complete description of the long time evolution of the solutions to a class of one-dimensional reaction-diffusion equations, in which the diffusion is given by an integral operator.

This book serves as an illuminating introduction to the intricacies of the geometry of numbers.

This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation.

This book constitutes the refereed joint proceedings of the 18th International Symposium on Artificial Intelligence and Mathematics, ISAIM 2024, and the 22nd International Workshop on Combinatorial Image Analysis, IWCIA 2024, held in Fort Lauderdale, FL, USA, during January 8-10, 2024.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

This volume features a collection of peer-reviewed contributions from the biannual conference organized by the Mexican Statistical Society, held in Cuernavaca, Mexico, from September 27-29, 2023.

This book comprehensively explores the foundations of quasiconformal mappings in the complex plane, especially in view of applications to complex dynamics.

The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "e;Modern Problems in PDEs and Applications"e; held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023.

Freeform lens design has numerous applications in imaging, aerospace, and biomedicine.

The two-volume set LNBIP 518 and 519 constitutes the refereed post-conference proceedings of the 25th International Conference on Enterprise Information Systems, ICEIS 2023, which was held in Prague, Czech Republic, during April 2023.

This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ?

The two-volume set LNAI 15497 and LNAI 15498 constitutes the refereed proceedings of the 14th International Conference on Brain Inspired Cognitive Systems, BICS 2024, held in Hefei, China, during December 6-8, 2024.

In an increasingly globally-connected world, the ability to predict, monitor, and contain pandemics is essential to ensure the health and well-being of all.

This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques.

This book compares the population history of Japan, Korea, Taiwan, and China to understand such emergent changes as extremely low fertility in Korea and Taiwan, compressed urbanization and a massive diaspora from Korea, early population aging relative to economic development in China, and changing patterns of cross-border migration in the region.

This is a personal story about being involved in the study of nonlinear phenomena for more than half a century.

The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "e;Modern Problems in PDEs and Applications"e; held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023.

This book presents a comprehensive set of methods for quantifying geometric quantities such as the volume of a tumor, the total surface area of the alveoli in a lung, the length of plant roots, or of blood vessels, the number of neurons in a brain compartment, the connectivity number of trabecular bone, the mean size of grains in a rock, etc.

This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology.

This book explores the urgent quest for sustainable energy solutions by examining potential renewable energy sources that meet global demands.

This book highlights  the critical challenge of improving the design and performance of hip implants, which are essential for enhancing patient outcomes in hip replacement surgeries.

This book is devoted to the least gradient problem and its variants.

This monograph offers a novel structural perspective on the modelling of engineering problems, utilizing abstract mathematics in the form of category theory.

This book does not focus solely on asymptotic extreme value distributions.

This monograph offers a novel structural perspective on the modelling of engineering problems, utilizing abstract mathematics in the form of category theory.

This book treats the micromechanics of laminae, i.

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderon problem.

This book introduces the gamma-divergence, a measure of distance between probability distributions that was proposed by Fujisawa and Eguchi in 2008.

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers.

This book introduces in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds.

This book offers a comprehensive yet approachable introduction to essential mathematical concepts, tailored specifically for undergraduate and first-year graduate students in Economics and Social Sciences.

This book presents data-driven algorithms used in the context of wind farm modelling and exploits their relation with concepts from non-linear dynamical system theory.

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "e;Lie Theory and Its Applications in Physics"e; held in Sofia (Bulgaria) in June 2023.

This book presents modern variational calculus in mechanics and field theories with applications to theoretical physics.

This book is about the choices that researchers can make when building knowledge in social and behavioural spaces.

This book is devoted to the least gradient problem and its variants.

This book of peer-reviewed short papers on methodological and applied statistics and demography is the fourth of four volumes from the 52nd Scientific Meeting of the Italian Statistical Society (SIS 2024), held in Bari, Italy, on June 17-20, 2024.

This book of peer-reviewed short papers on methodological and applied statistics and demography is the fourth of four volumes from the 52nd Scientific Meeting of the Italian Statistical Society (SIS 2024), held in Bari, Italy, on June 17-20, 2024.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "e;Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers"e;, held in Rome, Italy, on July 12-14, 2021.

This textbook presents some basic stochastic processes, mainly Markov processes.

This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory.

This volume IFIP AICT 693 constitutes the refereed proceedings of the 10th IFIP International Workshop on Artificial Intelligence for Knowledge Management, AI4KMES 2023, from September 30th - October 1st, 2023, held in Krakow, Poland.

This book constitutes the refereed joint proceedings of the 18th International Symposium on Artificial Intelligence and Mathematics, ISAIM 2024, and the 22nd International Workshop on Combinatorial Image Analysis, IWCIA 2024, held in Fort Lauderdale, FL, USA, during January 8-10, 2024.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.