Overview
- Authors:
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M. J. Vishik
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University of Moscow, U.S.S.R.
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A. V. Fursikov
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University of Moscow, U.S.S.R.
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Table of contents (13 chapters)
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- M. J. Vishik, A. V. Fursikov
Pages 1-8
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- M. J. Vishik, A. V. Fursikov
Pages 9-53
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- M. J. Vishik, A. V. Fursikov
Pages 54-68
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- M. J. Vishik, A. V. Fursikov
Pages 69-117
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- M. J. Vishik, A. V. Fursikov
Pages 118-146
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- M. J. Vishik, A. V. Fursikov
Pages 147-172
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- M. J. Vishik, A. V. Fursikov
Pages 173-203
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- M. J. Vishik, A. V. Fursikov
Pages 204-258
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- M. J. Vishik, A. V. Fursikov
Pages 259-291
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- M. J. Vishik, A. V. Fursikov
Pages 292-334
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- M. J. Vishik, A. V. Fursikov
Pages 335-375
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- M. J. Vishik, A. V. Fursikov
Pages 376-430
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- M. J. Vishik, A. V. Fursikov
Pages 431-473
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Back Matter
Pages 474-576
About this book
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The ScandiJI of Father 'The Hermit Clad in Crane Feathers' in R. Brow" 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.