Functional Analysis and Control Theory: Linear Systems: 29 - Brossura

Rolewicz, S.

Brossura

ISBN 10: 9048184231 ISBN 13: 9789048184231

Casa editrice: Springer, 2010

Riassunto

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa­ question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono­ graphs 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, cod­ ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro­ gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

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Contenuti

1. Metric spaces.- 2. Linear spaces and normed spaces.- 3. Continuous linear operators in Banach spaces.- 4. Weak topologies.- 5. Optimization and observability of linear systems.- 6. Systems governed by ordinary differential equations.- 7. Systems with distributed parameters.- 8. Differential and integral equations in Banach spaces.- Appendix. Necessary and sufficient condition for weak duality.- Author index.- List of symbols.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048184231
• ISBN 13: 9789048184231
• Rilegatura: Copertina flessibile
• Numero di pagine: 544
• Contatto del produttore: non disponibile
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