This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for...Lasīt vairāk
The use of differential equations on graphs as a framework for the mathematical analysis of images emerged about fifteen years ago and since then it has burgeoned, and with applications also to machine learning. The authors have written a birds eye...Lasīt vairāk
Sērija : Elements in Non-local Data Interactions: Foundations and Applications
(Izdošanas datums: 27-Feb-2025, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009494656)
The use of differential equations on graphs as a framework for the mathematical analysis of images emerged about fifteen years ago and since then it has burgeoned, and with applications also to machine learning. The authors have written a birds eye...Lasīt vairāk
Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacob...Lasīt vairāk
Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi....Lasīt vairāk
(Izdošanas datums: 30-Nov-2024, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978087)
Optimal transport has evolved from solving mortar-moving puzzles to addressing challenges in fluid dynamics, many-electron physics and AI. It builds theory from scratch on finite state spaces with intuitive examples, while covering modern topics inc...Lasīt vairāk
(Izdošanas datums: 12-Sep-2024, Hardback, Izdevniecība: World Scientific Europe Ltd, ISBN-13: 9781800615267)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it...Lasīt vairāk
(Izdošanas datums: 12-Sep-2024, Paperback / softback, Izdevniecība: World Scientific Europe Ltd, ISBN-13: 9781800615373)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it...Lasīt vairāk
This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for no...Lasīt vairāk
(Izdošanas datums: 31-Jul-2024, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977974)
Set-valued, convex, and nonsmooth analysis are relatively modern branches of mathematical analysis and increasingly relevant in current control theory and control engineering literature. The first book of this scope and at this level, this book serv...Lasīt vairāk
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variational Analysis and Generalized Differentiation: I Basic Theory, II Applicat...Lasīt vairāk
Contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18-20, 2022. The articles present some developments of the theory of diffeologies applied in a range of topics, fro...Lasīt vairāk
Presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis on interior and boundary theories. The book gives an extensive survey of fundamental results, essential techniqu...Lasīt vairāk
(Izdošanas datums: 17-Apr-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474201)
Presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis on interior and boundary theories. The book gives an extensive survey of fundamental results, essential techniqu...Lasīt vairāk
(Izdošanas datums: 31-Aug-2023, Paperback / softback, Izdevniecība: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977615)
This book is a modern introduction to the area of optimization. Its objective is to provide the foundations of theory and algorithms of nonlinear optimization, as well as to present a variety of applications from diverse areas of applied sciences--...Lasīt vairāk
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Lasīt vairāk
(Izdošanas datums: 24-Jul-2023, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783110675283)
The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathem...Lasīt vairāk
Sērija : De Gruyter Series in Nonlinear Analysis & Applications
(Izdošanas datums: 19-Jun-2023, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783111025261)
This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the p...Lasīt vairāk
(Izdošanas datums: 25-Apr-2023, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811258169)
The Monograph Provides A Detailed And Comprehensive Presentation Of The Rich And Beautiful Theory Of Unilateral Variational Analysis In Infinite Dimensions. It Is Divided Into Two Volumes Named Part I And Part Ii. Starting With The Convergence Of...Lasīt vairāk
