Recurrence and Topology

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9780821842348: Recurrence and Topology

Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems. Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit.

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John M. Alongi and Gail S. Nelson; Editor-John M. Alongi; Editor-Gail S. Nelson
Editore: American Mathematical Society (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
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Sequitur Books
(Boonsboro, MD, U.S.A.)
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Descrizione libro American Mathematical Society, 2007. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology.Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems.Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit. Codice libro della libreria 1007140047

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Alongi, John M.; Nelson, Gail S.
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218423480000000

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John M. Alongi, Gail S. Nelson
Editore: American Mathematical Society
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Recurrence and Topology, John M. Alongi, Gail S. Nelson, Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems.Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit. Codice libro della libreria B9780821842348

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John M. Alongi, Gail S. Nelson
Editore: American Mathematical Society, United States (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro American Mathematical Society, United States, 2007. Hardback. Condizione libro: New. 259 x 188 mm. Language: English . Brand New Book. Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems.Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit. Codice libro della libreria AAN9780821842348

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5.

John M. Alongi, Gail S. Nelson
Editore: American Mathematical Society, United States (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
Nuovi Rilegato Quantità: 1
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Descrizione libro American Mathematical Society, United States, 2007. Hardback. Condizione libro: New. 259 x 188 mm. Language: English . Brand New Book. Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems.Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit. Codice libro della libreria AAN9780821842348

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6.

John M. Alongi and Gail S. Nelson, John M. Alongi (Editor), Gail S. Nelson (Editor)
Editore: American Mathematical Society (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro American Mathematical Society, 2007. Hardcover. Condizione libro: New. Codice libro della libreria DADAX082184234X

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Alongi, John M. (Editor)/ Nelson, Gail S. (Editor)
Editore: Amer Mathematical Society (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro Amer Mathematical Society, 2007. Hardcover. Condizione libro: Brand New. illustrated edition. 221 pages. 10.00x7.00x0.75 inches. In Stock. Codice libro della libreria __082184234X

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John M. Alongi and Gail S. Nelson
Editore: American Mathematical Society (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
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Irish Booksellers
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Descrizione libro American Mathematical Society, 2007. Hardcover. Condizione libro: New. book. Codice libro della libreria 082184234X

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John M. Alongi
ISBN 10: 082184234X ISBN 13: 9780821842348
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Descrizione libro 2007. Hardcover. Condizione libro: New. 17mm. Hardcover. Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the beh.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 221 pages. 0.567. Codice libro della libreria 9780821842348

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John M. Alongi and Gail S. Nelson
Editore: American Mathematical Society (2007)
ISBN 10: 082184234X ISBN 13: 9780821842348
Nuovi Rilegato Quantità: 3
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Murray Media
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Descrizione libro American Mathematical Society, 2007. Hardcover. Condizione libro: New. Codice libro della libreria P11082184234X

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