Description
This monograph, published in 1989, focuses on parametric minimal surfaces in Euclidean space. The author provides a comprehensive overview of the subject, from its classical beginnings to its current state, with historical context and a bibliography of 1600 references. The book's clear and thorough presentation, with an emphasis on geometric aspects, makes it valuable for both specialists and non-specialists. The theory of minimal surfaces was gaining popularity in other areas of mathematics and the physical sciences at the time of publication, making this book a valuable resource for years to come.
This 1989 monograph deals with parametric minimal surfaces in Euclidean space. The author presents a broad survey which extends from the classical beginnings to the current situation whilst highlighting many of the subject's main features and interspersing the mathematical development with pertinent historical remarks. The presentation is complete and is complemented by a bibliography of nearly 1600 references. The careful expository style and emphasis on geometric aspects are extremely valuable. Moreover, in the years leading up to the publication of this book, the theory of minimal surfaces was finding increasing application to other areas of mathematics and the physical sciences ensuring that this account will appeal to non-specialists as well. Review: Review of the hardback: From a review of the German edition: 'The work in its entirety bespeaks a monumental effort. I was repeatedly astonished by the thoroughness with which the author tracked down references and checked out different treatments of a topic ... Nitsche's book will be an invaluable aid to anyone working in the field for years and probably decades to come.' Bulletin of the American Mathematical Society
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