Calculus and mathematical analysis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.

This book presents the state-of-the-art in supercomputer simulation.

This monograph serves two primary purposes.

This monograph serves two primary purposes.

Recently, the field of quantum computation and information has been developing through a fusion of results from various research fields in theoretical and practical areas.

This text provides a practical, hands-on introduction to the fundamental concepts of mathematical programming and network science.

This text provides a practical, hands-on introduction to the fundamental concepts of mathematical programming and network science.

The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014.

The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014.

This book arises from the conference “Elliptic Curves and Modular Forms in Arithmetic Geometry, Celebrating Massimo Bertolini’s 60th birthday” held in Milano in September 2022.

This book arises from the conference “Elliptic Curves and Modular Forms in Arithmetic Geometry, Celebrating Massimo Bertolini’s 60th birthday” held in Milano in September 2022.

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.

Integrating the adaptive learning control, backstepping technology, and event-triggered mechanism, this book solve the problems of the strong nonlinearity, complex constraints and uncertainties that traditional methods cannot handle.

This book introduces the theory of univalent functions, focusing on the key subclasses of starlike, convex and close-to-convex functions.

Lattice gauge theory is a fairly young research area in Theoretical Particle Physics.

Integrating the adaptive learning control, backstepping technology, and event-triggered mechanism, this book solve the problems of the strong nonlinearity, complex constraints and uncertainties that traditional methods cannot handle.

This book introduces the theory of univalent functions, focusing on the key subclasses of starlike, convex and close-to-convex functions.

Machine Learning Solutions for Inverse Problems: Part B, Volume 27 in the Handbook of Numerical Analysis, continues the exploration of emerging approaches at the intersection of machine learning and inverse problem theory.

This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday.

This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible account of the state of the art of the subject, its frontiers and its interactions with other areas of research.

This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible account of the state of the art of the subject, its frontiers and its interactions with other areas of research.

Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them.

This volume gathers peer-reviewed contributions submitted to the 22nd ECMI Conference on Industrial and Applied Mathematics, ECMI 2023, held by the Wroclaw University of Science and Technology, Wroclaw, Poland, from June 26th to 30th, 2023.

This volume gathers peer-reviewed contributions submitted to the 22nd ECMI Conference on Industrial and Applied Mathematics, ECMI 2023, held by the Wroclaw University of Science and Technology, Wroclaw, Poland, from June 26th to 30th, 2023.

Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them.

The aim of this book is to describe contemporary analytical and semi- analytical techniques for solving typical celestial-mechanics problems.

Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented.

Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented.

This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning.

This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning.

This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years.

In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented.

In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented.

Innerhalb der mathematischen Lehrbuchliteratur für Studierende der Chemie und Biologie stellt das vorliegende Werk eine bemerkenswerte Symbiose aus klarer Darstellung mathematischer Zusammenhänge und konsequenter Ausrichtung auf jene Inhalte und Algorithmen dar, die in der naturwissenschaftlichen Praxis tatsächlich benötigt werden.

Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations.

This book introduces integrable peaked soliton (peakon) systems, which has been used by mathematical analysists and theoretical physicists to study the Camassa-Holm (CH) equation from various points and extended to create peakon models in nonlinear science.

This EMS volume gives an overview of the modern theory of elliptic boundary value problems.

This book introduces integrable peaked soliton (peakon) systems, which has been used by mathematical analysists and theoretical physicists to study the Camassa-Holm (CH) equation from various points and extended to create peakon models in nonlinear science.

This book provides a rigorous introduction to Fourier analysis and the theory of distributions without presupposing an advanced background in functional analysis or measure-theoretic integration.

This book presents a compelling and up-to-date exploration of modeling techniques for digital twins, a transformative concept revolutionizing how physical assets are designed, operated, optimized, and managed throughout their lifecycle.

This book presents a compelling and up-to-date exploration of modeling techniques for digital twins, a transformative concept revolutionizing how physical assets are designed, operated, optimized, and managed throughout their lifecycle.

Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation.

This volume is based on the talks presented at the "e;New Frontiers in Homogenization and Fractional Calculus"e; conference, held at CRM-Barcelona on March 24–25, 2025.

This book presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments.

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 volume is based on the talks presented at the "e;New Frontiers in Homogenization and Fractional Calculus"e; conference, held at CRM-Barcelona on March 24–25, 2025.

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 basic numerical methods and applies them to a large variety of physical models in multiple computer experiments.

The existence and qualitative properties of nontrivial solutions for some important nonlinear Schr?