Integrability and Nonintegrability in Geometry and Mechanics: 31 (Mathematics and its Applications) - Hardcover

Fomenko, A.T.

 
9789027728180: Integrability and Nonintegrability in Geometry and Mechanics: 31 (Mathematics and its Applications)
Hardcover
ISBN 10: 9027728186 ISBN 13: 9789027728180
Verlag: Springer, 1988

Inhaltsangabe

Approach your problems from the right end It isn’t that they can’t see the solution. It is and begin with the answers. 1hen one day, that they can’t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ’The Hermit Oad in Crane Feathers’ in R. Brown ’The point of a Pin’ . • 1111 Oulik’. n. . Chi" •. • ~ Mm~ Mu,d. ", 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.

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Críticas

'...we consider this book to be a valuable contribution to present mathematics. It is useful primarily for researchers in the field but it may just as ell be used by students of mathematics, mechanics, or physics and by anybody interested in the modern applications of geometry and topology.' Acta Applicandae Mathematicae 28 1992

Reseña del editor

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . · 1111 Oulik'. n. . Chi" ·. · ~ Mm~ Mu,d. ", 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.

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Verlag
Springer
Erscheinungsdatum
1988
Sprache
Englisch
ISBN 10 
9027728186
ISBN 13 
9789027728180
Einband
Tapa dura
Anzahl der Seiten
364
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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