Ebook: Functional Analysis and Control Theory: Linear Systems
Author: Stefan Rolewicz (auth.)
- Tags: Analysis, Real Functions
- Series: Mathematics and its Applications 29
- Year: 1987
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages i-xv
Metric spaces....Pages 1-54
Linear spaces and normed spaces....Pages 55-113
Continuous linear operators in Banach spaces....Pages 114-137
Weak topologies....Pages 138-164
Optimization and observability of linear systems....Pages 165-261
Systems governed by ordinary differential equations....Pages 262-327
Systems with distributed parameters....Pages 328-417
Differential and integral equations in Banach spaces....Pages 418-494
Back Matter....Pages 495-524
Content:
Front Matter....Pages i-xv
Metric spaces....Pages 1-54
Linear spaces and normed spaces....Pages 55-113
Continuous linear operators in Banach spaces....Pages 114-137
Weak topologies....Pages 138-164
Optimization and observability of linear systems....Pages 165-261
Systems governed by ordinary differential equations....Pages 262-327
Systems with distributed parameters....Pages 328-417
Differential and integral equations in Banach spaces....Pages 418-494
Back Matter....Pages 495-524
....