Applied mathematics

Most data sets collected by researchers are multivariate, and in the majority of cases the variables need to be examined simultaneously to get the most informative results.

A problem of broad interest - the estimation of the spectral gap for matrices or differential operators (Markov chains or diffusions) - is covered in this book.

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).

Safety critical and high-integrity systems, such as industrial plants and economic systems can be subject to abrupt changes - for instance due to component or interconnection failure, and sudden environment changes etc.

Moving on from earlier stochastic and robust control paradigms, this book introduces the  fundamentals of probabilistic methods in the analysis and design of uncertain systems.

Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers.

Stochastic geometry is a relatively new branch of mathematics.

Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques.

Many current texts in the area are just cookbooks and, as a result, students do not know why they perform the methods they are taught, or why the methods work.

Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications.

This book contains a large variety of intriguing puzzles with detailed ingenious solutions generally not found elsewhere.

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 introduces the mathematical foundations of distributionally robust optimization (DRO) for decision-making problems with ambiguous uncertainties and applies them to tackle the critical challenge of energy storage sizing in renewable-integrated power systems, providing readers with an efficient and reliable approach to analyze and design real-world energy systems with uncertainties.

Individual-based models (IBM) describe a population as a collection of different organisms whose local interactions determine the behaviour of the entire population.

This book presents the proceedings of the 5th International Conference of IFToMM ITALY (IFIT), held in Turin, Italy on September 11-13, 2024.

Even the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in ';real life'.

Is anything truly random?

Inverse problems lie at the core of scientific discovery, enabling us to determine causes from observed consequences.

The book presents a collection of peer-reviewed short papers selected from those presented at the International Conference Mathematical and Statistical Methods for Actuarial Sciences and Finance - MAF2024.

This book develops robust design and assessment of product and production from viewpoint of system theory, which is quantized with the introduction of brand new concept of preferable probability and its assessment.

This book includes peer-reviewed papers presented at the 3rd International Conference on Emerging Electronics & Automation (E2A) 2023.

This edited book provides a comprehensive framework for the integration of mathematical methodologies into biological research, emphasizing applications that directly address topics related to SDG 3 (Good Health and Well Being) and SDG 6 (Clean Water and Sanitation).

This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance.

This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility.

This book is interdisciplinary and unites several areas of applied probability, statistics, and computational mathematics including computer experiments, optimal experimental design, and global optimization.

Monte Carlo Methods are among the most used, and useful, computational tools available today.

This book deals with extreme value theory for univariate and multivariate time series models characterized by power-law tails.

This volume presents a comprehensive compilation of chapters whose topics were presented at the 2nd International Conference on Mathematical Analysis and Application in Modeling (CMAAM-2023), held at the Department of Mathematics & the Center for Mathematical Biology and Ecology, Jadavpur University, Kolkata, West Bengal, India, from 9-11 October 2023.

This book presents a comprehensive series of methods in nonsmooth optimization, with a particular focus on their application in stochastic programming and dedicated algorithms for decision-making under uncertainty.

This text gives a comprehensive, largely self-contained treatment of multivariate heavy tail analysis.

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at the interface between probability and functional analysis.

This book presents a comprehensive, innovative, integrated, and empirically effective system for cross-sectionally analyzing prices of government bonds (GBs) and corporate bonds (CBs) to timely obtain practically useful information on yield curves and default curves.

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 is devoted to real analysis methods for the problem of constructing Markov processes with boundary conditions in probability theory.

This book uncovers the potential of machine learning, artificial intelligence, and advanced analytics to empower financial institutions to stay competitive in an ever-evolving market.

This book deals with efficient estimation and optimization methods to improve the design of electrotechnical devices under uncertainty.

This 2nd edition of the book focuses on the properties of stationary states in chaotic systems of particles or fluids, setting aside the theory of how these states are achieved.

This volume presents a comprehensive compilation of chapters whose topics were presented at the 2nd International Conference on Mathematical Analysis and Application in Modeling (CMAAM-2023), held at the Department of Mathematics & the Center for Mathematical Biology and Ecology, Jadavpur University, Kolkata, West Bengal, India, from 9-11 October 2023.

This volume honors the life and legacy of renowned economist and econometrician Marc Nerlove, who passed away in July 2024.

This book presents a comprehensive, innovative, integrated, and empirically effective system for cross-sectionally analyzing prices of government bonds (GBs) and corporate bonds (CBs) to timely obtain practically useful information on yield curves and default curves.

This text combines a compact linear algebra course with a serious dip into various physical applications.

This Festschrift, dedicated to Wolfgang Reif on the occasion of his 65th birthday, collects contributions written by many of his closest research colleagues and many of his former students.

This is the first textbook to address quantified risk assessment (QRA) as specifically applied to offshore installations and operations.

This is the first textbook to address quantified risk assessment (QRA) as specifically applied to offshore installations and operations.

This is the first textbook to address quantified risk assessment (QRA) as specifically applied to offshore installations and operations.

This accessible text presents a detailed introduction to the use of a wide range of software tools and modeling environments for use in the biosciences, as well as the fundamental mathematical background.

This accessible text/reference provides a general introduction to probabilistic graphical models (PGMs) from an engineering perspective.

Offshore Risk Assessment was the first book to deal with quantified risk assessment (QRA) as applied specifically to offshore installations and operations.

Offshore Risk Assessment was the first book to deal with quantified risk assessment (QRA) as applied specifically to offshore installations and operations.