Overview
- Authors:
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Luis A. Cordero
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Department of Geometry and Topology, University of Santiago de Compostela, Spain
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C. T. J. Dodson
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Department of Mathematics, University of Lancaster, UK
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Manuel León
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C.E.C.I.M.E.-C.S.I.C., Madrid, Spain
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Table of contents (10 chapters)
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 3-15
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 17-37
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 39-55
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 57-73
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 75-82
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 83-105
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 107-135
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 137-169
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 171-189
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- Luis A. Cordero, C. T. J. Dodson, Manuel de León
Pages 191-217
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Back Matter
Pages 219-234
About this book
It isn't that they can't see the solution. It is Approach your problems from the right end 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 Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chillese 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.
Reviews
All in all, Differential Geometry of Frame Bundles is an excellent and modern work, offering valuable information for many readers who are interested in modern geometry and its applications.Acta Applicandae Mathematicae
Authors and Affiliations
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Department of Geometry and Topology, University of Santiago de Compostela, Spain
Luis A. Cordero
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Department of Mathematics, University of Lancaster, UK
C. T. J. Dodson
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C.E.C.I.M.E.-C.S.I.C., Madrid, Spain
Manuel León
