UID:
almahu_9947363261102882
Umfang:
XV, 438 p.
,
online resource.
ISBN:
9789400947702
Serie:
Mathematics and Its Application ; 32
Inhalt:
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 Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik'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.
Anmerkung:
A)Theory -- I. Mathematical Prerequisites -- II. Principles of Probability Theory -- III. Stochastic Processes and Random Fields -- IV. Linear Filtering and Spectral Analysis -- V. Statistics on Sample Paths -- B)Applications -- VI. Dynamic Response of Structures Subjected to Wind Loads -- VII. Probabilistic Approach to the Effects of Earthquakes on Structures -- VIII. Probabilistics Models of Sea Wave and Applications -- IX. Mechanical Fatigue under Random Loading -- C)Applications -- X. Measures on Vector Spaces and Stochastic Modelling -- XI. Generalized Stochastic Processes -- XII. Markov Realization of Gaussian Processes -- XIII. Stochastic Differential Equations -- XIV. Random Oscillations with Intermittent Constraints -- XV. Linear Oscillators Subjected to Squared Gaussian Processes -- Additional References.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9789401086189
Sprache:
Englisch
DOI:
10.1007/978-94-009-4770-2
URL:
http://dx.doi.org/10.1007/978-94-009-4770-2
