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Spectral Geometry of Graphs
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph. The book has two central themes: the trace formula and inverse problems. The trace formula is relating the spectrum to the set of periodic orbits and is compara…
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- ISBN/ISSN
- 978-3-662-67872-5
- Collation
- XVI, 639
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- -
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Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lame…
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- ISBN/ISSN
- 978-4-431-55702-9
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- -
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Elliptic–Hyperbolic Partial Differential Equations A Mini-Course in Geomet…
This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: • The heating of fusion plasmas by electromagnetic waves • The behaviour of light near a caustic â€â€¦
- Edition
- 1
- ISBN/ISSN
- 978-3-319-19761-6
- Collation
- 9 b/w illustrations, 6 illustrations in colour
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- -
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Variational Analysis and Aerospace Engineering Mathematical Challenges for t…
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics metho…
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- ISBN/ISSN
- 978-3-319-45680-5
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- -
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University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
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- ISBN/ISSN
- 978-3-319-28106-3
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Unpublished Manuscripts
This book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "care…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-69850-2
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Theory of Vibrating Lifting Tools of Sugar Beet Harvesters
The cultivation and harvesting of sugar beets (roots and haulm) is one of the most labour and energy consuming work processes in the agricultural industry. The improvement of the qualitative indicators of the sugar beet harvesting process as the final operation in the work flow of its production represents a multi-faceted research-and-engineering problem, which is to be solved basing on the sea…
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- ISBN/ISSN
- 9783039432912
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- -
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https://link.springer.com/10.1007/978-3-319-26266-
This book presents in depth asymptotic methods for solving parabolic partial differential equations at the level suitable for non-mathematicians The focus is on the stochastic description Although this book is intended for advanced undergraduate or beginning graduate students, it should also provide a useful reference for professional physicists, applied mathematicians as well as quant…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26265-9
- Collation
- XIX, 390
- Series Title
- Springer Briefs in Earth Sciences
- Call Number
- 510
Harmonic and Geometric Analysis
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduct…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0407-3
- Collation
- IX, 170
- Series Title
- -
- Call Number
- 510 CIT h
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Non…
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-12496-4
- Collation
- XV, 127
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 519 CHE a
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