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Variance-Constrained Filtering for Stochastic Complex Systems
Game Theory for Applied Econometricians
Over the last 30 years the practice and use of game theory has changed dramatically, yet textbooks continue to present game theory with algebraic formalism and toy models. This book, on the other hand, illustrates game theory concepts using real-world data and analyses problems with real policy implications.
Unique Continuation Properties for Partial Differential Equations
Functional Differential Geometry
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory. Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Mis矇rables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level. The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Complex Analysis and Dynamics in One Variable with Applications
Geometric Deformations of Discriminants and Apparent Contours
Metrical and Ergodic Theory of Continued Fraction Algorithms
This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized R矇nyi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions. The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field.
Generalization of Some Inequalities for Rational Functions with Prescribed Poles
Bayesian Modelling of Suspended Solids in Oyo State Reservoirs
Game-Based Learning, Gamification in Education and Serious Games 2023
In a world where video games are more than just entertainment, Current Advances in Serious Games, Game-based Learning and Gamification in Education explores the transformative power of games in shaping learning, awareness, and engagement. This collection highlights groundbreaking research on game-based learning, digital intelligence, and adaptive gamification. Featuring insights from leading experts, it examines how serious games combat misinformation, enhance media literacy, promote cultural heritage, and personalize educational experiences. Whether you are an educator, researcher, developer, or game enthusiast, this book provides a compelling look at how games are revolutionizing education, training, and social awareness. Dive into the cutting-edge world where learning meets play!
Introduction to Linear Algebra with Earth Science Applications
This is a Linear Algebra textbook specifically designed for students who are majoring in any Earth Science-related subjects like Geophysics and Atmospheric Sciences, and are also interested in Mathematics. With these target readers in mind, we set out to provide an adequate treatment of Linear Algebra concepts that enables them to tackle relevant Earth Science problems. It aims at striking a balance between mathematical theories and physical (mainly Earth Science) applications. For the first part, it contains a comprehensive review ofMatrix and Vector OperationsVector (Inner Product) Spaces and Linear TransformationsEigenvalues/Eigenvectors and Diagonalization, and moreMeanwhile, the topics of the second part include: Principal Component Analysis (PCA)Least-square Linear RegressionDiscrete Fourier Transform (DFT)Markov ChainsMatrix Factorization Methods such as Cholesky/L(D)U/SVDDynamical SystemsContinuum MechanicsData AssimilationIn each chapter, we focus on a selected Linear Algebra topic, motivated by Earth Science examples (if available) and supplemented with Python programming tutorials. At the end of each chapter, a number of exercises (answered, a total of 136) are given for elucidating the concepts and working on Earth Science projects. This book also provides several colored figures for illustration.
Analysis of the Number of Eigenvalues of the Schr繹dinger Operator
Deep Learning model for prediction and prevention of COVID-19 outbreak
Surveys in Combinatorics 2024
This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
