he book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.
Ledder's innovative, student-centered approach reflects recent research on successful learning by emphasizing connections between new and familiar concepts and by engaging students in a dialogue with the material. Though streamlined, this text is also flexible enough to support a variety of teaching goals, in part through optional topics that give instructors considerable freedom in customizing…
By introducing logic and by emphasizing the structure and nature of the arguments used, this book helps readers transition from computationally oriented mathematics to abstract mathematics with its emphasis on proofs. Uses clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers. Offers a new boxed review of key terms after each section. Rewrites …
This book presents a comprehensive study of the theory of exponential dichotomies and their role in understanding the stability of solutions to nonautonomous linear differential systems. It develops the foundational concepts of nonuniform hyperbolicity, discusses Lyapunov exponents, and explores how spectral theory and evolution semigroups are used to analyze the long-term behavior of linear sy…
A classic introductory textbook in probability and statistics, this book provides a balanced presentation of theory and application. Topics include descriptive statistics, probability distributions, sampling theory, hypothesis testing, regression, and ANOVA. Designed for students in diverse fields such as business, biology, engineering, and the social sciences.
This book takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and inter…
Postmodern Analysis by Jürgen Jost (translated by H. Azad) offers a modern yet concrete approach to advanced mathematical analysis, tailored for beginning graduate-level students. Rather than embracing high abstraction for its own sake, the text integrates rigorous theory—such as Banach and Hilbert spaces, metric concepts, Lebesgue integration, Sobolev spaces, and variational methods—w…
This book offers an advanced introduction to how order emerges and is disrupted in physical systems. It focuses on the interplay between thermal or quantum fluctuations, emergent order (like in crystals or spin systems), and defects (such as dislocations, domain walls, or impurities). It explores critical phenomena, correlation functions, and topological defects with mathematical rigor and phys…
In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the …
Multivariate Analysis of Quality: An Introduction provides a comprehensive overview of multivariate statistical methods tailored specifically to quality improvement and engineering applications. The book introduces techniques like Principal Component Analysis (PCA), Multivariate Control Charts, Canonical Correlation Analysis, and Discriminant Analysis within the context of Six Sigma and quality…