Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functional analysis, and partial differential equations with advanced topics like stability estimates in inverse problems and quantitative unique continuation.
This textbook is designed for a first course in ring theory, module theory and category theory. Whereas the first part of the book covers a basic course in ring and module theory, the latter part includes optional deepening topics.
These topics elegantly apply various classical stochastic models and are motivated throughout with many worked out examples.This... Læs mere
This open access text offers the first comprehensive introduction to the fundamental principles and practical implementation of Active Disturbance Rejection Control (ADRC).
This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. Structurally, the book begins with the simplest type of finite element method: low order, piecewise continuous, Lagrange finite elements.
Automorphic forms on the upper half plane have been studied for a long time. He extended Hecke’s relation between automorphic forms and Dirichlet series to real analytic automorphic forms.
This textbook completes the author’s series of books on solving complex math problems and is aimed at developing readers' geometric thinking to master the skills of solving solid geometry problems.