{"title":"Vladimir I Arnol'd","description":null,"products":[{"product_id":"catastrophe-theory-book-vladimir-i-arnol-d-9780387161990","title":"Catastrophe Theory","description":null,"brand":"WoB","offers":[{"title":"US \/ WELL_READ \/ SBYB","offer_id":50352799187217,"sku":"CIN0387161996A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51158083600657,"sku":"GOR014189970","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387161996.jpg?v=1751228977"},{"product_id":"geometrical-methods-in-the-theory-of-ordinary-differential-equations-book-vladimir-i-arnol-d-9780387906812","title":"Geometrical Methods in the Theory of Ordinary Differential Equations","description":"Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52600859001105,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52600859623697,"sku":"CIN0387906819VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387906812.jpg?v=1761103357"},{"product_id":"catastrophe-theory-book-vladimir-i-arnol-d-9783540548119","title":"Catastrophe Theory","description":"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 theThom-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 equationsand 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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52660225540369,"sku":"NLS9783540548119","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52779310579985,"sku":"NIN9783540548119","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540548119.jpg?v=1762264772"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-vladimir-i-arnol-d.oembed","provider":"World of Books ","version":"1.0","type":"link"}