Elementary Concepts of Topology
авг. 2012 г. · Courier Corporation
Электронная книга
64
Количество страниц
reportОценки и отзывы не проверены. Подробнее…
Об электронной книге
Alexandroff's beautiful and elegant introduction to topology was originally published in 1932 as an extension of certain aspects of Hilbert's Anschauliche Geometrie. The text has long been recognized as one of the finest presentations of the fundamental concepts, vital for mathematicians who haven't time for extensive study and for beginning investigators.
The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest.
Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space.
First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25 figures.
The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest.
Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space.
First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25 figures.
Оцените электронную книгу
Поделитесь с нами своим мнением.
Где читать книги
Смартфоны и планшеты
Установите приложение Google Play Книги для Android или iPad/iPhone. Оно синхронизируется с вашим аккаунтом автоматически, и вы сможете читать любимые книги онлайн и офлайн где угодно.
Ноутбуки и настольные компьютеры
Слушайте аудиокниги из Google Play в веб-браузере на компьютере.
Устройства для чтения книг
Чтобы открыть книгу на таком устройстве для чтения, как Kobo, скачайте файл и добавьте его на устройство. Подробные инструкции можно найти в Справочном центре.
