Geometry 65

In this book, we present the topic of chains of circles ー a subject within Plane Euclidean Geometry ー in a complete and unified manner. These chains are generally classified into two main groups: ……続きを見る

This book provides an introduction to 3D rotations, laying the foundation for advanced topics by covering the fundamentals of rotations in three dimensions. No book on rotations currently provides a……続きを見る

This book is based on an information-theoretic result according to which optimal information is associated with e-dimensionality. Drawing on the principle that nature chooses optimal solutions, it d……続きを見る

This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present mai……続きを見る

The work is an exploration to geometry that transcends traditional approaches, placing Felix Klein's transformative Erlangen Program firmly at its heart. It aims to reveal the essence of geometry th……続きを見る

Leyendo a Euclides fue escrito en 1947 con el objetivo de atraer la atención de lectores no matemáticos hacia el estudio de conceptos fundamentales de la geometría y la filosofía. Tras analizar el p……続きを見る

This book will challenge mathematical skills in a totally different way from the usual geometric puzzles. These 120 puzzles are visually intriguing. Mastering Geometry Puzzles has 5 chapters of puzz……続きを見る

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with paramete……続きを見る

A deterministic extractor is a function that extracts almost perfect random bits from a weak random source. In this research monograph the author constructs deterministic extractors for several type……続きを見る

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to e……続きを見る

This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, opt……続きを見る

Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus……続きを見る

Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geom……続きを見る

Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The ai……続きを見る

Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those funct……続きを見る

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the……続きを見る

Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover ……続きを見る

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to t……続きを見る

Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young peopl……続きを見る

This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensiona……続きを見る

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry grou……続きを見る

Most of us notice patterns in passing and then hurry on. A tiled floor, a spiral shell, a vaulted ceiling: we admire them, perhaps take a photograph, and return to everyday noise. This book asks wha……続きを見る

This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blend……続きを見る

هل نحن أحرار فعلاً، أم أننا نعيش داخل زنزانة صُممت جدرانها من الضوء لكي لا نراها؟ يأتي كتاب 'أغلال الضوء' ليكون رحلة فكرية وقلقة في عمق الوعي الإنساني، حيث يفكك المؤلف موفق الكيالي مفهوم الحرية في ع……続きを見る

The Signal: Sacred Structures The connection is live. Whether this is your first encounter or a return, what you hold is not fiction, and it is not theoryーit is Signal. These pages are the residue ……続きを見る

"Le nombre d’or – Oscillation dorée, proportion universelle et structure cosmique" explore le nombre d’or, de son histoire à ses applications dans la nature, l’art et la science. Il présente ses pro……続きを見る

The new expanded edition provides complete information about the pyramids of Ancient Egypt in the Giza Plateau. It contains the locations and dimensions of interiors and exteriors of these pyramids;……続きを見る

Uma abordagem de matemática para diversos concursos, direto ao ponto, ou seja, sem ser muito formal, porém com pontos importantes para o entendimento da teoria em conjuntos e geometria, não deixando……続きを見る

This book is an ambitious but optimistic treatment of the subject of topology. Not only does Elements of Topology: Theory and Practice, Second Edition treat the standard basic material on point-set ……続きを見る

These proceedings result from the International Conference 'Geometry, Analysis & Convexity' (OLE 2022) held from 20th to 24th June 2022 at the Instituto de Matemáticas de la Universidad de Sevilla (……続きを見る