Applied mathematics

This volumepresents a collection of papers covering applications from a wide range ofsystems with infinitely many degrees of freedom studied using techniques fromstochastic and infinite dimensional analysis, e.

Volumes 1A and 1B.

A survey of the fundamental issues and techniques surrounding risk management.

Dies ist eine Einführung in die Theorie der (Wahrscheinlichkeiten der) großen Abweichungen, die mit Hilfe analytischer Methoden die exponentielle Abfallrate sehr kleiner Wahrscheinlichkeiten charakterisiert.

A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory.

This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives.

Logic Programming is a style of programming in which programs take the form of sets of sentences in the language of Symbolic Logic.

This book provides up-to-date, in-depth and accessible information on the concept of scale, and focuses on its applications in geography, Earth science, environmental science, and other fields in which the environment plays a significant role.

As climate change continues to dominate the international environmental agenda, phenology - the study of the timing of recurring biological events - has received increasing research attention, leading to an emerging consensus that phenology can be viewed as an 'early warning system' for climate change impact.

Stochastic Processes: General Theory starts with the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes.

Introduction to Rocket Science and Engineering, Second Edition, presents the history and basics of rocket science, and examines design, experimentation, testing, and applications.

Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero.

This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations.

Economics and the social sciences are, in fact, the "e;hard"e; sciences, as Herbert Simon argued, because the complexity of the problems dealt with cannot simply be reduced to analytically solvable models or decomposed into separate subprocesses.

This book presents peer-reviewed articles and recent advances on the potential applications of Science and Mathematics for future technologies, from the 8th International Conference on the Applications of Science and Mathematics (SCIEMATHIC 2022), held in Malaysia.

Statistical Mechanics: Fundamentals and Model Solutions, Second EditionFully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models, this new edition of Statistical Mechanics: Fundamentals and Model Solutions provides a comprehensive introduction to equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics.

The long-awaited, comprehensive guide to practical credit risk modeling Credit Risk Analytics provides a targeted training guide for risk managers looking to efficiently build or validate in-house models for credit risk management.

Aufgrund einer in den letzten Jahren sprunghaft gewachsenen Verfüg­ barkeit über Rechnerkapazitäten, insbesondere im Bereich der Personal Computer (PC), lassen sich heute auch umfangreiche und aufwendige statistische Datenanalysen innerhalb kürzester Zeit ausführen.

This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.

Intended for advanced undergraduates and graduate students, this book is a practical guide to the use of probability and statistics in experimental physics.

This book presents statistics and data science methods for risk analytics in quantitative finance and insurance.

The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations.

Modelling and Control in Biomedical Systems (including Biological Systems) was held in Reims, France, 20-22 August 2006.

This book highlights mathematical ideas to help explain a number of important aspects of the dynamics of social groups.

This volume contains almost all of the papers that were presented at the Workshop on Stochastic Theory and Control that was held at the Univ- sity of Kansas, 18-20 October 2001.

This book is not a research monograph about Malliavin calculus with the latest results and the most sophisticated proofs.

Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory.

This book provides readers with a systematic approach to quantitative investments and bridges the gap between theory and practice, equipping students to more seamlessly enter the world of industry.

Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results.

This is the tenth volume in the series "e;Mathematics in Industrial Prob- lems.

Testing for a Unit Root is now an essential part of time series analysis but the literature on the topic is so large that knowing where to start is difficult even for the specialist.

It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem.

Kiyosi Ito's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes.

The volume contains latest research on software reliability assessment, testing, quality management, inventory management, mathematical modeling, analysis using soft computing techniques and management analytics.

Finance and energy markets have been an active scientific field for some time, even though the development and applications of sophisticated quantitative methods in these areas are relatively new-and referred to in a broader context as energy finance.

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics.

Machine learning (ML) is progressively reshaping the fields of quantitative finance and algorithmic trading.

The efficiency of the phase-integral method developed by the present au- thors has been shown both analytically and numerically in many publica- tions.

This textbook is an introduction to Systems and Theoretical/Computational Neuroscience, with a particular emphasis on cognition.

A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone.

The first edition of this award-winning book attracted a wide audience.

The history of mathematics is, to a considerable extent, connected with the study of solutions of the equation f(x)=a=const for functions f(x) of one real or complex variable.

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

Basic Numerical Mathematics, Volume 1: Numerical Analysis focuses on numerical analysis, with emphasis on the ideas of "e;controlled computational experiments"e; and "e;bad examples"e;.

Main themes are complete integrability, bi-Hamiltonian structures, hierarchies, impact on string theory, links with quantum groups, random perturbations of deterministic dynamics and the onset of stochasticity/chaos/ in case of particle motion, and the relation between randomness and quantisation.