The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, -continued fractions, N-continued fractions, and generalized Rényi continued fractions...Loe edasi...
Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the d...Loe edasi...
A comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneou...Loe edasi...
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Sari: Graduate Studies in Mathematics
(Ilmumisaeg: 30-Jun-2024, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470473020)
A comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneou...Loe edasi...
This book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small pertur...Loe edasi...
This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Bana...Loe edasi...
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with...Loe edasi...
This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. T...Loe edasi...
(Ilmumisaeg: 03-Nov-2023, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811278914)
This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The book delivers the concepts in an appropriate and concise manner, at the same time rich in illustrations and exercise problems. Spe...Loe edasi...
This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter of the book presents a single concept, which is further unfolded and elaborated through related se...Loe edasi...
(Ilmumisaeg: 21-Sep-2023, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009351454)
The fixed-point theory in metric spaces came into the existence through the PhD work of Polish mathematician Stefan Banach in 1920. The outcome of the Banach contraction principle became the initial source of the theory. It evolved with time and is...Loe edasi...
This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction o...Loe edasi...
The simplicial volume is a homotopy invariant of manifolds introduced by Gromov in his pioneering paper Volume and bounded cohomology. In order to study the main properties of simplicial volume, Gromov himself initiated the dual theory of bounded co...Loe edasi...
(Ilmumisaeg: 12-May-2023, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811272653)
The monograph targets a huge variety of characterizations of cofinally complete metric spaces. These spaces are studied in terms of several properties of some classes of functions between metric spaces that are stronger than the continuous functions...Loe edasi...
(Ilmumisaeg: 18-Apr-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031272073)
This book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small pertur...Loe edasi...
Sari: Synthesis Lectures on Mathematics & Statistics
(Ilmumisaeg: 08-Dec-2022, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031149689)
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with...Loe edasi...
This book is designed to provide an extensive understanding of Metric spaces. It presents the basics of metric spaces in a natural way which encourages geometric thinking. This book serves as a textbook for an introductory course in metric...Loe edasi...
This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction o...Loe edasi...
Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the dev...Loe edasi...
This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable. Rich in examples, exercises and motivation, it provides a careful and clear exposition at a pace appropriate to the material....Loe edasi...