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Item Details
Title: APPROXIMATION OF FUNCTIONS OF SEVERAL VARIABLES AND IMBEDDING THEOREMS
By: S. M. Nikol'skii, J. M. Danskin (Trans)
Format: Paperback

List price: £79.99


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ISBN 10: 3642657133
ISBN 13: 9783642657139
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 15 November, 2011
Edition: Softcover reprint of the original 1st ed. 1975
Series: Grundlehren der mathematischen Wissenschaften 205
Pages: 420
Synopsis: This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus- sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan- skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func- tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen- tations of Functions and Imbedding Theorems", by O. V. Besov, V. P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S. M.Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable.
Illustrations: VIII, 420 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE (HB)
ORTHOGONAL SERIES AND APPROXIMATION OF FUNCTIONS (PB)
QUALITATIVE METHODS IN MATHEMATICAL ANALYSIS (PB)
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THE TOPOLOGY OF FUNCTION SPACES AND THE CALCULUS OF VARIATIONS IN THE LARGE (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES IX (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES VI (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES VII (PB)
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THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES XI (PB)

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