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Large Deviations and Asymptotic Methods in Finance
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic …
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- ISBN/ISSN
- 978-3-319-11605-1
- Collation
- -
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Optimal Interconnection Trees in the Plane
This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13914-2
- Collation
- XVII, 344
- Series Title
- Algorithms and Combinatorics
- Call Number
- -
Optimal Control for Mathematical Models of Cancer Therapies
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions …
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- 1
- ISBN/ISSN
- 978-1-4939-2971-9
- Collation
- XIX, 496
- Series Title
- Interdisciplinary Applied Mathematics
- Call Number
- -
Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isomet…
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well …
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- ISBN/ISSN
- 978-3-319-44271-6
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- VII, 50
Minimum Action Curves in Degenerate Finsler Metrics:Existence and Properties
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17752-6
- Collation
- Springer International Publishing Switzerland
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Recent Advances in Mathematical Sciences: Selected Papers from ICREM7 2015
This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a…
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- 516
Evolution Equations of von Karman Type
In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equat…
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- ISBN/ISSN
- 978-3-319-20997-5
- Collation
- XVI, 140
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- -
- Call Number
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K3 Surfaces and Their Moduli
This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonn…
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- ISBN/ISSN
- 978-3-319-29959-4
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- -
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- -
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Euclidean Geometry and its Subgeometries
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isom…
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- -
- ISBN/ISSN
- 978-3-319-23775-6
- Collation
- 59 b/w illustrations
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- -
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Geometry, Mechanics, and Dynamics
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide rang…
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- -
- ISBN/ISSN
- 978-1-4939-2440-0
- Collation
- VIII, 506
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- -
- Call Number
- 516 GEO
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