Geometry 61

This book’s area is special functions of one or several complex variables. Special functions have been applied to dynamics and physics. Special functions such as elliptic or automorphic functions ha……続きを見る

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geometric figures with desired properties and has many ap……続きを見る

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch o……続きを見る

Chord Transformations in Higher-Dimensional Networks proposes an in-depth formal framework for generalized Tonnetze. It takes an algebraic approach and studies systems of k-chords in n-TET scales de……続きを見る

Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can 'see' geometry at work. Most people are exposed to the very basic elements of geometry throughout their s……続きを見る

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The circle, one of the basic aspects of geometr……続きを見る

The main objective of the book is to teach how to practically construct periodic tessellations with stars and rosettes using an Interactive Geometry Software (IGS). Stars and rosettes are among the ……続きを見る

This classic text appears here in a new edition for the first time in four decades. The new edition, with the aid of two new authors, brings it up to date for a new generation of mathematicians and ……続きを見る

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the “Higher homotopical structures” programme. Since their introduction 6……続きを見る

Can one prove that 1 + 1 = 2? How long is the coastline of Britain? Which US president proved Pythagoras' theorem on right-angled triangles? Who originated the quadratic equation we learned at schoo……続きを見る

This book, Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B), is the second in a captivating series of four books presenting a choice of topics, among fundamental and mo……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

This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs. Given a viewing direction, th……続きを見る

Finsler geometry is just Riemannian geometry without a quadratic restriction. It has applications in many fields of natural sciences, including physics, psychology, and ecology. The book is intended……続きを見る

Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space an……続きを見る

This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-based formalism, enabling calculations of distances, angles, and areas using basic……続きを見る

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originati……続きを見る

Mechanics is one of the oldest and most foundational subjects in undergraduate curricula for mathematicians, physicists, and engineers. Traditionally taught through a classical, or "analytical," app……続きを見る

The Euclidean Geometry Genius is a learner-friendly study guide designed to break down the complexities of geometry into simple, understandable steps. With clear explanations, diagrams, and practice……続きを見る

In diesem Buch findest du eine detaillierte und zugleich sehr anschauliche Darstellung ausgewählter Inhalte aus der elementaren Geometrie, untermauert mit historischem Kontext und geschichtlichen Er……続きを見る

This volume is a pre-publication version of Translating Euclid: Designing a Human-Centered Mathematics by Morgan & Claypool Publishers in 2013. These materials were last revised March 16, 2013, from……続きを見る

This book contains adventures in digital geometry for the minds of students in pods and in home-schooling. Learning about geometry has inspired many of the most important thinkers for centuries and ……続きを見る

This volume reproduces the successive versions of the VMT curriculum in collaborative learning of dynamic geometry. In consecutive years, the curriculum focused more tightly on introducing teacher t……続きを見る

In an age of digital precision, Folded Paper Geometry brings design back to its most fundamental tool--your hands. It explores the beauty, simplicity and ingenuity of geometric structures through th……続きを見る

This collection of case studies from VMT data includes teams working on problems of dynamic geometry. This volume includes papers that introduced the transition of the VMT Project to its focus on co……続きを見る

Optimization Methods for Finite Element Analysis and Design describes recent developments in Finite Element Methods (FEM). It gives a brief introduction of the applications of AI-based nature-inspir……続きを見る

Alle Themen rund um die Geometrie werden in diesem Buch vorgestellt: Euklidische Ebenengeometrie euklidische Festkörpergeometrie Analytische Geometrie in der Ebene projektive Geometrie Analytische G……続きを見る

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt: Ebene Geometrie (Grundbegriffe und Figuren) solide Geometrie Hinweis zu nichteuklidischen Geometrien……続きを見る

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt: Kartesische Ebene Segmente, Strecken und Linien in der kartesischen Ebene Parabeln, Umfänge, Ellipse……続きを見る

Os pressupostos teóricos dos seguintes tópicos matemáticos são apresentados neste livro: plano cartesiano segmentos, distâncias e linhas no plano cartesiano parábolas, circunferências, elipses, hipé……続きを見る