دانلود کتاب Alexandrov Geometry: Foundations

Name: Alexandrov Geometry: Foundations
Availability: InStock
Author: Stephanie Alexander
ISBN: 9781470473020,9781470475369

by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

عنوان فارسی: هندسه الکساندروف: پایه ها
ناشر: American Mathematical Society
سال: 2024
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 277-303
شابک: 9781470473020,9781470475369
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 2.83 مگابایت

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جزییات کتاب

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.