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Riassunto: This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas. Although the first few chapters touch briefly (and critically) on the Thom-Zeeman catastrophe theory, most of the book is concerned with more recent and less controversial aspects, covering such topics as: bifurcations and stability loss, wavefront propagation, the distribution of matter in the universe, optimization and control problems, visible contours, bypassing an obstacle, symplectic and contact geometry, complex singularities, and the surprising connections between singularities and widely disparate mathematical objects such as regular polyhedra and reflection groups. Readers familiar with the previous editions will find much that is new. Results have been brought up to date, and among the new or expanded topics discussed are delayed loss of stability, cascades of period doublings and triplings, shock waves, implicit differential equations and folded singularities, interior scattering, and more. Three new sections give an overview of the history of singularity theory and its applications from Leonardo da Vinci to modern times, a discussion of perestroika in terms of the theory of metamorphoses, and a list of 93 problems touching on most of the subject matter in the book. The text is enhanced by fifteen new drawings (there are now 87 in all) and improvements to old ones. The already extensive literature list has been updated and expanded. As a result, the book has been enlarged by almost a third. Arnol'd's goal with this edition remains the same: to explain the essence of the results and applications to readers having a minimal mathematical background. All that he asks, is that the reader have an inquiring mind.
The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.
Condizione libro: Used
Descrizione libro Springer, Berlin ; Heidelberg ; New York ; Tokyo, 1984. Kartoniert. Condizione libro: Gut. 20 cm. 78 S. Orig.-Karton. 65 Ill. u. graph. Darst. Leichte Gebrauchsspuren. Insgesamt gutes Exemplar. 200 Gramm. Buch. Codice libro della libreria 31013
Descrizione libro Condizione libro: Acceptable. Book Condition: Acceptable. Codice libro della libreria 97803871285975.0
Descrizione libro Springer-Verlag, 1984. Condizione libro: Fair. First English Edition. N/A. Shows definite wear, and perhaps considerable marking on inside. Codice libro della libreria GRP93184205
Descrizione libro Springer-Verlag, Berlin, 1984. Paperbound. Condizione libro: Fine. First Edition. Codice libro della libreria 00029021
Descrizione libro Springer-Verlag, 1984. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria DADAX038712859X