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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
"Trigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far away to measure directly, or navigating from Point A to Point B. However, it is often taught very theoretically, with an emphasis on abstractions. Make: Trigonometry uses 3D printable models and readily-available physical objects like wire and cardboard tubes to develop intuition about concepts in trigonometry and basic analytic geometry. Readers will imagine the thought process of the people who invented these mathematical concepts, and can try out 'math experiments' to see for themselves how ingenious ancient navigators and surveyors really were. The analytic geometry part of the book links equations to many of these intuitive concepts, which we explore through in-depth explanations of manipulative models of conic sections. This book is aimed at high school students who might be in Algebra II or Pre-Calculus. It shows the geometrical and practical sides of these topics that otherwise can drown in their own algebra. Make: Trigonometry builds on the basics of the authors' earlier book, Make: Geometry, and is intended as a bridge from that book to their Make: Calculus book. The user can read this book and understand the concepts from the photographs of 3D printable models alone. However, since many models are puzzle-like, we encourage the reader to print the models on any consumer-grade filament based 3D printer. The models are available for download in a freely-available open source repository. They were created in the free program OpenSCAD, and can be 3D printed or modified by the student in OpenSCAD to learn a little coding along the way.
Neste livro, são realizados exercícios sobre os seguintes tópicos matemáticos:Plano cartesiano e translaçõeslinha no plano cartesianocônicas no plano cartesiano (parábola, circunferência, elipse, hipérbole)Também são apresentadas dicas teóricas iniciais para tornar a execução dos exercícios compreensível
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :généralisation de la géométrie analytique dans le plangéométrie analytique dans l'espacelongueur et régularité d'une courbecaractérisation paramétrique au niveau géométriqueDes conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:generalización de la geometría analítica en el planogeometría analítica en el espaciolongitud y regularidad de una curvacaracterización paramétrica a nivel geométricoTambién se presentan indicaciones teóricas iniciales para que se entienda la realización de los ejercicios.
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:Plano cartesiano y traslaciones.línea en el plano cartesianocónicas en el plano cartesiano (parábola, circunferencia, elipse, hipérbola)También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :Plan cartésien et translationsdroite dans le plan cartésienconiques dans le plan cartésien (parabole, circonférence, ellipse, hyperbole)Des conseils théoriques initiaux sont également présentés pour rendre compréhensible l'exécution des exercices
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
This monograph contains papers that were delivered at the special session on Geometric Potential Analysis, that was part of the Mathematical Congress of the Americas 2021, virtually held in Buenos Aires. The papers, that were contributed by renowned specialists worldwide, cover important aspects of current research in geometrical potential analysis and its applications to partial differential equations and mathematical physics.
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