Multiphase Averaging for Classical Systems: With Applications to Adiabatic Theorems (Applied Mathematical Sciences)

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9780387967783: Multiphase Averaging for Classical Systems: With Applications to Adiabatic Theorems (Applied Mathematical Sciences)

In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE's. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging.

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This book presents work to clarify and render accessible the main results in averaging for ODE's since the appearance of Bogoliubov and Mitropolski's book, and to give at the same time a survey of the adiabatic theorems which more or less readily follow from those results.

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P. Lochak; C. Meunier; Translator-H.S. Dumas
Editore: Springer (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer, 1988. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria SONG0387967788

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2.

Pierre Lochak, Claude Meunier
Editore: Springer-Verlag New York Inc., United States (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer-Verlag New York Inc., United States, 1988. Paperback. Condizione libro: New. Language: English . Brand New Book ***** Print on Demand *****. In the past several decades many significant results in averaging for systems of ODE s have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE s. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging. Softcover reprint of the original 1st ed. 1988. Codice libro della libreria AAV9780387967783

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3.

Pierre Lochak, Claude Meunier
Editore: Springer-Verlag New York Inc., United States (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer-Verlag New York Inc., United States, 1988. Paperback. Condizione libro: New. Language: English . Brand New Book ***** Print on Demand *****.In the past several decades many significant results in averaging for systems of ODE s have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE s. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length.With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging. Softcover reprint of the original 1st ed. 1988. Codice libro della libreria AAV9780387967783

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Pierre Lochak
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Descrizione libro Springer-Verlag New York Inc., 1988. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780387967783

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P. LOCHAK
Editore: Springer (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer, 1988. Paperback. Condizione libro: NEW. 9780387967783 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0411316

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Lochak, P.
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ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387967783_lsuk

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7.

Pierre Lochak, Claude Meunier
Editore: Springer-Verlag New York Inc., United States (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer-Verlag New York Inc., United States, 1988. Paperback. Condizione libro: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. In the past several decades many significant results in averaging for systems of ODE s have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE s. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging. Softcover reprint of the original 1st ed. 1988. Codice libro della libreria LIE9780387967783

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Pierre Lochak
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Descrizione libro Springer-Verlag New York Inc., 1988. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780387967783

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9.

P. Lochak; C. Meunier
Editore: Springer (2013)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer, 2013. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780387967783

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10.

P. Lochak, C. Meunier, H.S. Dumas (Translator)
Editore: Springer (1988)
ISBN 10: 0387967788 ISBN 13: 9780387967783
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Descrizione libro Springer, 1988. Paperback. Condizione libro: New. Softcover reprint of the origina. This item is printed on demand. Codice libro della libreria DADAX0387967788

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