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This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two......more
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well establishe......more
A fundamental idea to understanding topological spaces is decomposing them down into simpler components for easier analy......more
A generously illustrated textbook and reference for graduate students and researchers that integrates two major areas of......more
This book deals with the problem of bounding numerical invariants of nonsingular projective algebraic varieties from a u......more
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This book serves as an accessible introduction to schemes, coherent sheaves, and their cohomology, designed for readers ......more
A concise and unified introduction to the foundational concepts of modern topology and geometry Topology and geometry ar......more
A concise and unified introduction to the foundational concepts of modern topology and geometry Topology and geometry ar......more
The book is devoted to rigorous mathematical results on discrete nonlinear Schrödinger equations (DNLS), including the i......more
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This book serves as an advanced companion to an initial linear algebra text with a computational focus. It encompasses c......more
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Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and parti......more
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Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, ......more
Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, ......more
This book is an ambitious but optimistic treatment of the subject of topology. Not only does it treat the standard basic......more
Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ......more
This book will challenge mathematical skills in a totally different way from the usual geometric puzzles. These 120 puzz......more
This book will challenge mathematical skills in a totally different way from the usual geometric puzzles. These 120 puzz......more
This book stems from a concept that, from an information-theoretic and computational perspective, e-dimensionality repre......more
The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities., th......more
This book explores the versatile concept of maxima and minima -- extremes and optimal values -- across a broad spectrum ......more
This book explores the versatile concept of maxima and minima -- extremes and optimal values -- across a broad spectrum ......more
This book presents 125 unusual geometric relationships, offering clear proofs that will captivate readers of all backgro......more
This book presents 125 unusual geometric relationships, offering clear proofs that will captivate readers of all backgro......more
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This volume is the proceedings of a special conference dedicated to the legacy of Prof. S.-S. Chern, virtually held at t......more
This is an open access volume and it containscontains several number theory contributions, most of which were written in......more
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Trigonometry: From Theory to Application offers a clear and practical introduction to the foundational principles of tri......more
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This book grew out of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions betwee......more
In this book, we study the shape of different geometric objects (curves, surfaces, and knots) through small deformation:......more
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This open access book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geo......more
The aim of this textbook is to introduce readers at a graduate level to G-complete reducibility and explain some of its ......more
This proceedings volume presents a collection of fifteen peer-reviewed and expanded articles based on expert talks deliv......more
The work is an exploration to geometry that transcends traditional approaches, placing Felix Klein’s transformative Erla......more
This book presents selected lectures from the Wisla 22 Winter School and Workshop organized by the Baltic Institute of M......more
This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the......more
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This volume is a collection of extended abstracts authored by women mathematicians in Latin America. The contributions i......more
This book offers an introduction to Newton-Cartan gravity, a reformulation of Newtonian gravity in differential-geometri......more
The aim of this volume, Functional Equations and Ulam’s Problem, is to publish a well-balanced collection of works devot......more
This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geome......more
This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geome......more
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This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity un......more
This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible......more
This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity un......more
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This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their sur......more
This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their sur......more
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In this book, we present the topic of chains of circles -- a subject within Plane Euclidean Geometry -- in a complete an......more
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Beneath the surface of every leaf, seashell, and galaxy lies a hidden code an elegant structure that reveals how the uni......more
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A computer algebra system such as Mathematica(R) is able to do much more than just numerics: This revised text shows how......more
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This unique and richly illustrated book explores barycentric calculus, a geometric method grounded in the concept of the......more
The book summarizes recent results on problems with uni-variate polynomials. The first of them reads: given the signs of......more
A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Und......more
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ZAG Handbook of Algebraic Geometry provides an expansive collection of extended summaries of all the research talks give......more
This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Thr......more
This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Thr......more
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An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that al......more
An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that al......more
It is known that geometry originated and developed in connection with people’s practical activities, measurements and co......more
This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric pro......more
This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory o......more
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This Open Access textbook presents Carnot-Carathéodory spaces from the perspective of Lie groups. Its main objective is ......more
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This textbook completes the author’s series of books on solving complex math problems and is aimed at developing readers......more
This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem. Providing a ne......more
This is the sixth and revised edition of a well-received textbook that aims at bridging the gap between the engineering ......more
This book provides a systematic introduction and treatment of non-integrable flat systems. More precisely, it develops a......more
Wolmer Vasconcelos was one of the giants in the development of Commutative Algebra in the latter half of the twentieth c......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
We isolate and study the transformation of the intrinsic spin of photons and Dirac particles as they propagate along geo......more
This text is designed to update the Differential Geometry course by making it more relevant to today’s students. It is i......more
This text is designed to update the Differential Geometry course by making it more relevant to today’s students. It is i......more
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