Symbolic Dynamics of Trapezoidal Maps: 27 - Brossura

Louck, J.D. D.; Metropolis, N.

Brossura

ISBN 10: 940108548X ISBN 13: 9789401085489

Casa editrice: Springer, 2011

Riassunto

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 Gad in Crane Feathers' in R. Brown The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing speciaIization 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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Contenuti

Chapters.- 1. Introduction.- 2. Endomorphisms of R Associated with Symmetric Line-Pairs in R2.- 3. Definition of LR-Sequences for Trapezoidal Curves.- 4. LR-Sequences as Classes of Endomorphisms of R.- 5. Explicit Form for ? (T?).- 6. A Total Ordering of LR-Sequences.- 7. Determination of LR-Sequences for Trapezoidal Curves.- 8. Proof of Theorem 4 [Part (i)].- 9. Proof of Theorem 4 [Part (ii)].- 10. Some Generalizations to the Parabola.- 11. Some Extensions to Arbitrary Initial Point a ? I(0,2).- Appendices.- B. Some Properties of Lexical and Nonlexical Sequences.- C. Some Algebraic Properties of Lexical Sequences.- D. Some Properties of 1–2 Sequences.- E. Error In Reference [14].- References.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 940108548X
• ISBN 13: 9789401085489
• Rilegatura: Copertina flessibile
• Numero di pagine: 324
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania