Variational problems in topology : the geometry of length, area and volume
著者
書誌事項
Variational problems in topology : the geometry of length, area and volume
Gordon and Breach Science Publishers, c1990
- タイトル別名
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Топологические вариационныe задачи
Topologicheskie variat︠s︡ionnye zadachi
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注記
Translation of: Topologicheskie variat︠s︡ionnye zadachi
Includes bibliographical references and index
内容説明・目次
内容説明
Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clean explanation of some of these problems (both solved and unsolved), using current methods and analytical topology. The author's skillful exposition gives an unusual motivation to the theory expounded, and his work is recommended reading for specialists and nonspecialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels.
目次
Preface, Chapter I. PRELIMINARIES, Chapter II. FUNCTIONS ON MANIFOLDS, Chapter III. MANIFOLDS OF SMALL DIMENSIONS, Chapter IV. MINIMAL SURFACES, References, Index
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