This book in a single contribution for the first time examines the historical development of the concepts of vortex, vorticity, knot, chirality, and helicity between 1517 and 1969. It considers their origins in early pictorial and conceptual studies...Loe edasi...
(Ilmumisaeg: 31-May-2026, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009388894)
A step-by-step introduction to composition operators on Banach spaces of analytic functions, with emphasis on Hardy, Bergman, and related Orlicz spaces. Covering boundedness, compactness, and operator ideals, this book will be of interest to graduat...Loe edasi...
Offers a rigorous, comprehensive, and modern presentation of the most traditional concepts in measure theory and integration. Building on the classical foundations, it introduces the theory with full generality and meticulous attention to detail,...Loe edasi...
This book provides a comprehensive introduction to some key subjects in logic, category theory, algebra and topology. Its five chapters contain the written records of the five courses of the 2022 TACL Summer School (Mira, Portugal, June 14-18, 2022)...Loe edasi...
(Ilmumisaeg: 26-May-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031929977)
This book is unique in the current scenario because it provides a complete treatment of modern Brouwer and of Leray-Schauder degree theories, including detailed proofs and selected applications to differential equations. In addition, new results...Loe edasi...
This book introduces a new measurable perspective on dynamical systems by connecting concepts from topological dynamics with their measure-theoretic counterparts. A central theme is the translation of topological notions into measurable ones. For ex...Loe edasi...
This volume contains the proceedings of the AMS Special Session on Inverse Problems at the AMS Fall Western Sectional Meeting, held from October 22-23, 2022, at the University of Utah, Salt Lake City, Utah. This book presents a wide variety of high...Loe edasi...
This book systematically develops the theory of Metric Spaces while serving as a connection between classical Real Analysis and General Topology. It is designed for senior unde...Loe edasi...
Now in its second edition, this book is an ambitious but optimistic treatment of the subject of topology. Topic coverage has been reduced in this new edition, and exercise sets have been added at the end of each section. Today’s students need a te...Loe edasi...
This book seeks to familiarize students with the fundamental concepts and structures of topology. The book covers topics such as set theory, topological spaces, continuity, compactness, connectedness, and metric spaces. By providing a rigorous mathem...Loe edasi...
This book addresses the challenges of embedding 3-manifolds in 4-space, focusing on locally flat embeddings. It introduces the main tools and results, with a focus on Seifert manifolds. Supported by figures throughout, it will be of interest to math...Loe edasi...
This book presents a new Lefschetz trace formula for a foliated flow on a compact foliated manifold with a foliation of codimension one. The leaves preserved by the flow and its closed orbits are assumed to be transversely simple. The formula equate...Loe edasi...
This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets a...Loe edasi...
This book on general topology is meant for graduate and senior undergraduate mathematics students. Written in a lucid manner, the text is enriched with examples, exercises, and proofs. Each topic has been explained in detail, and proofs are presente...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
(Ilmumisaeg: 30-Mar-2026, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783111149882)
The Gelfand theory of Banach algebras is presented in this book, along with several significant applications. The famed commutative and non-commutative Gelfand-Naimark theorems are then addressed, and intriguing applications of them are shown, after...Loe edasi...
Louis H Kauffman, Ljubica S Velimirovic, Marija S Najdanovic, Svetozar R Rancic
Sari: Series on Knots & Everything
(Ilmumisaeg: 23-Mar-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819819454)
In this book, we study the shape of different geometric objects (curves, surfaces, and knots) through small deformation: infinitesimal bending. The shape of geometric objects is determined by their geometric curvature as well as curvature-based func...Loe edasi...
Ioannis Diamantis, Botjan Gabrovek, Sofia Lambropoulou, Alessia Cattabriga
Sari: De Gruyter Expositions in Mathematics
(Ilmumisaeg: 15-Mar-2026, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110595048)
This book serves as an introduction and reference to knot theory in lens spaces, extending from basic concepts to a comprehensive exposition, including the newest approaches and results in the field. It presents two viewpoints, diagrammatic method...Loe edasi...
(Ilmumisaeg: 02-Mar-2026, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783112233238)
Observability in Mathematics was developed based on the denial of the concept of infinity. The book introduces Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that, the basic mathematical parts also become depend...Loe edasi...
Proceedings capturing leading research from virtual conferences at Columbia University, spanning integrable systems, Painlevé equations, quantum models, and applied mathematics. Contributions traverse algebro geometric methods, tropical geometry, an...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compat...Loe edasi...
(Ilmumisaeg: 24-Feb-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813237391)
Focused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book serves as a guide to methods and examples of higher dimensional knotting. The book has modest mathematical requirements, ha...Loe edasi...
Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an abstract approach to measure and integration, where the classic...Loe edasi...
Selected papers from a virtual AMS Special Session in memory of a revered scholar explore inverse problems across several domains. The contributions span low-dimensional topology, knot theory, mathematical physics, quantum computing and game theory,...Loe edasi...
Showcasing extensive studies in both pure and applied mathematics, this series presents grouped, in-depth research in book form. Guided by a distinguished editorial committee and subject to rigorous peer review, each volume delivers scholarly excell...Loe edasi...
This book presents the interplay between topological Markov shifts and CuntzKrieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuou...Loe edasi...
This book provides a concise and effective introduction to twisted RabinowitzFloer homology, a generalization of RabinowitzFloer homology. The theory can be used for finding periodic orbits in Hamiltonian systems: applications include results in cel...Loe edasi...
This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. The homotopy type of simplicial complexes is discussed in textbooks on Algebraic Topolog...Loe edasi...
Richly illustrated and engaging, the text explores mathematical billiards through a series of problems and creative activities in two and three dimensions. Starting with square billiard paths, it gradually reveals links to polygon dynamics, continue...Loe edasi...
José Luis Cisneros-Molina, Lê Dng Tráng, José Seade
(Ilmumisaeg: 25-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031995705)
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 o...Loe edasi...
An Introduction to Point-Set Topology is intended for use in a beginning topology course for undergraduates or as an elective course for graduate students. The book’s style can be thought of as a hybrid between the Texas style (Moore method) o...Loe edasi...
(Ilmumisaeg: 15-Jan-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819820573)
This monograph offers a compelling exploration of structures induced by smooth vector flows on the boundaries of compact manifolds, with a particular focus on flows that admit Lyapunov functions strictly monotonic along each trajectory. These trave...Loe edasi...
This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionally, this book provides a comprehensive study...Loe edasi...
This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory. In particular, recent constructions of cubical systems of univalent type theory are used to dete...Loe edasi...
This book offers a comprehensive presentation of methods from topological data analysis applied to the study of neural network structure and dynamics. Using topology-based tools such as p...Loe edasi...
Sari: Series In Algebraic And Differential Geometry
(Ilmumisaeg: 30-Dec-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819806133)
A fundamental idea to understanding topological spaces is decomposing them down into simpler components for easier analysis. The study of decompositions in unstable homotopy theory has a long, rich history and has contributed significantly to the st...Loe edasi...
The book, based on the INdAM Workshop Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology provides a bridge between different communities of mathematicians who utilize splines in their work. Splines are mathemat...Loe edasi...
Presenting cutting-edge research from the AMS Western Sectional Meeting, this volume surveys modern knot theory by exploring classical knots, surface-links, knotoids, and spatial graphs. This book highlights the role of algebraic invariants, braid g...Loe edasi...
Examining womens mathematical training at Bryn Mawr College (18851926), the narrative reveals how Charlotte Angas Scott fostered a collaborative, visually inspired method that encouraged original research and innovation. It charts shifts in educati...Loe edasi...
This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created. ...Loe edasi...
Borel Games are multiplayer games with infinite horizon and general payoff functions. These types of games, first introduced by Gale and Stewart (1953), were studied within descriptive set theory in the context of two-player zero-sum...Loe edasi...
This book provides an overview of generalised helices, or Lancret helices, in both Riemannian and Lorentzian backgrounds. We would like to highlight, if that were possible, this mathematical structure with great preponderance in nature and even in...Loe edasi...
