D.O - Geometry 1

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 structu……続きを見る

Este libro cuenta con cinco capítulos que contienen los temas del programa de la electiva Geometría Euclidiana. Ha sido elaborado para que los estudiantes de tecnología e ingeniería puedan seguirlo,……続きを見る

This Open Access textbook presents Carnot-Carathéodory spaces from the perspective of Lie groups. Its main objective is to illustrate how these non-smooth geometries manifest in various mathematical……続きを見る

This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brie……続きを見る

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for ……続きを見る

The essential introduction to discrete and computational geometryーnow fully updated and expanded Discrete and Computational Geometry bridges the theoretical world of discrete geometry with the appl……続きを見る

The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks: - Geometry and topology of fibre bundles, - Cliff……続きを見る

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored ……続きを見る

Livro didático elaborado para a disciplina do curso de Geologia intitulada Desenho Geológico/ interpretação de mapas geológicos. Contém vários exercícios sobre mapas geológicos simplificados, envolv……続きを見る

The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subjec……続きを見る

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use……続きを見る

The goal of Geometric Algebra Applications Vol. III: Integral Transforms, Machine Learning, and Quantum Computing is to present a unified mathematical treatment of diverse problems in the general do……続きを見る

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry,……続きを見る

Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generat……続きを見る

In "Euclid and His Modern Rivals," Charles Lutwidge Dodgson, better known as Lewis Carroll, employs a unique blend of humor, logical reasoning, and engaging prose to explore the foundations of geome……続きを見る

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very bas……続きを見る

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with ……続きを見る

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are ……続きを見る

An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applicatio……続きを見る

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at gr……続きを見る

Il cambiamento in atto nell’Università dovuto al Nuovo Ordinamento sta portando ad una riformulazione dei programmi e della didattica. Nella Facoltà di Ingegneria in particolare l’introduzione della……続きを見る

La Geometria Analitica è nota agli studenti fin dalla scuola media superiore almeno per quel che riguarda la geometria piana. Questo libro presenta la costruzione vettoriale della Geometria Analiti……続きを見る

Quest'opera trasforma radicalmente l'approccio all'apprendimento matematico, offrendo strumenti concreti per decifrare e dominare una gamma vasta di argomenti: dalle fondamenta dei numeri e delle op……続きを見る

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged ……続きを見る

Questo testo è destinato agli studenti dei corsi di Laurea in Ingegneria e di altri corsi universitari "affini" nei quali il programma di un corso di Geometria preveda la trattazione di argomenti es……続きを見る

Este libro propone mirar e interpretar la ciudad desde la geometría. Rectas, planos, curvas, ángulos, polígonos, prismas, estrellas, tramas, etc., han moldeado desde siempre el espacio de las ciudad……続きを見る

Este libro está dirigido a los alumnos del primer ciclo de las carreras de ingeniería. Trata el álgebra de proposiciones lógicas, la teoría de conjuntos, el sistema de los números reales, los conjun……続きを見る

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach……続きを見る

In "Euclid and His Modern Rivals," Charles Lutwidge Dodgson, better known as Lewis Carroll, presents a critical examination of the evolution of geometric thinking as illustrated through a humorous y……続きを見る

This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical physics: 'extra-ordinary' and further generalized cohomology theories enhanced to……続きを見る