In order to ensure the criteria for monitoring and managing the various problems and design for decision control, a mathematical description of exact human knowledge is required for the management of adaptive and complex systems.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024.
This volume presents contributions of modern developments in analysis, PDEs and geometric analysis by leading experts, as well as distinguished junior and senior researchers.
This volume presents contributions of modern developments in analysis, PDEs and geometric analysis by leading experts, as well as distinguished junior and senior researchers.
This book presents a scholarly English translation of Henri Lebesgue’s seminal 1909 paper, Sur les Intégrales Singulières, first published in the Annales de l’Université de Toulouse.
This book presents a scholarly English translation of Henri Lebesgue’s seminal 1909 paper, Sur les Intégrales Singulières, first published in the Annales de l’Université de Toulouse.
"e;Value Distribution of Meromorphic Functions"e; focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture.
This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.
Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject.
In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration.
Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory.
Formal verification increasingly has become recognized as an answer to the problem of how to create ever more complex control systems, which nonetheless are required to behave reliably.
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis.
This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime.
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022.
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022.
Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years.
Complex analysis, more than almost any other undergraduate topic in mathematics, runs the full pure/applied gamut from the most subtle, difficult, and ingenious proofs to the most direct, hands-on, engineering-based applications.
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts.
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students.
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students.
This book examines the dominance of social construction within sociology while shedding light on what social construction looks like in practice beyond the realm of sociological thought.
This book examines the dominance of social construction within sociology while shedding light on what social construction looks like in practice beyond the realm of sociological thought.
Few people outside of mathematics are aware of the varieties of mathemat- ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others.
In recent years approximation theory and the theory of orthogonal polynomials have witnessed a dramatic increase in the number of solutions of difficult and previously untouchable problems.
