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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals (Monographs in Mathematics) - Softcover
The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982. It will be referred to in this text simply as "Volume 1". Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of differentiable functions. This means that the questions considered in it are about the structure of singularities and how they function. Another distinctive feature of the present volume is that we take a hard look at questions for which it is important to work in the complex domain, where the first volume was devoted to themes for which, on the whole, it was not important which field (real or complex) we were considering. Such topics as, for example, decomposition of singularities, the connection between singularities and Lie algebras and the asymptotic behaviour of different integrals depending on parameters become clearer in the complex domain. The book consists of three parts. In the first part we consider the topological structure of isolated critical points of holomorphic functions. We describe the fundamental topological characteristics of such critical points: vanishing cycles, distinguished bases, intersection matrices, monodromy groups, the variation operator and their interconnections and method of calculation.
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 1461284082
- ISBN 13 9781461284086
- BindingPaperback
- Number of pages500
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals (Monographs in Mathematics)
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals (Monographs in Mathematics)
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals
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Singularities of Differentiable Maps
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The present. volume is the second volume of the book 'Singularities of Differentiable Maps' by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled 'Classification of critical points, caustics and wave fronts', was published by Moscow, 'Nauka', in 1982. It will be referred to in this text simply as 'Volume 1'. Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of differentiable functions. This means that the questions considered in it are about the structure of singularities and how they function. Another distinctive feature of the present volume is that we take a hard look at questions for which it is important to work in the complex domain, where the first volume was devoted to themes for which, on the whole, it was not important which field (real or complex) we were considering. Such topics as, for example, decomposition of singularities, the connection between singularities and Lie algebras and the asymptotic behaviour of different integrals depending on parameters become clearer in the complex domain. The book consists of three parts. In the first part we consider the topological structure of isolated critical points of holomorphic functions. We describe the fundamental topological characteristics of such critical points: vanishing cycles, distinguished bases, intersection matrices, monodromy groups, the variation operator and their interconnections and method of calculation. 504 pp. Englisch. Seller Inventory # 9781461284086
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals (Monographs in Mathematics)
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Singularities of Differentiable Maps
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The present. volume is the second volume of the book Singularities of Differentiable Maps by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled Classification of critical points, caustics and wave fronts , was published by Mo. Seller Inventory # 4190984
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Singularities of Differentiable Maps : Volume II Monodromy and Asymptotic Integrals
Published by
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ISBN 10: 1461284082
ISBN 13: 9781461284086
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The present. volume is the second volume of the book 'Singularities of Differentiable Maps' by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled 'Classification of critical points, caustics and wave fronts', was published by Moscow, 'Nauka', in 1982. It will be referred to in this text simply as 'Volume 1'. Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of differentiable functions. This means that the questions considered in it are about the structure of singularities and how they function. Another distinctive feature of the present volume is that we take a hard look at questions for which it is important to work in the complex domain, where the first volume was devoted to themes for which, on the whole, it was not important which field (real or complex) we were considering. Such topics as, for example, decomposition of singularities, the connection between singularities and Lie algebras and the asymptotic behaviour of different integrals depending on parameters become clearer in the complex domain. The book consists of three parts. In the first part we consider the topological structure of isolated critical points of holomorphic functions. We describe the fundamental topological characteristics of such critical points: vanishing cycles, distinguished bases, intersection matrices, monodromy groups, the variation operator and their interconnections and method of calculation. Seller Inventory # 9781461284086
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals
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Book Description Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781461284086
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